Vollantrag zu Partial Differential Equations - Modelling, Analysis, Numerical Methods and Optimization
Vollantrag zu Partial Differential Equations - Modelling, Analysis, Numerical Methods and Optimization
Disciplines
Mathematics (100%)
Keywords
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Partial Differential Equations,
Modeling,
Analysis,
Optimization,
Numerical Methods
Many application problems coming from physics, chemistry, biology, or engineering sciences are described by mathematical models involving Partial Differential Equations (PDEs). Often such problems involve different kinds of nonsmooth structures (singularities, interfaces, inequality constraints, etc.). The mathematical treatment of the corresponding PDE-based models is crucial for the efficient solution of practical problems. There is a significant demand for highly qualified junior scientists with postgraduate education and experience in this area, in academia as well as in industry and commerce. The international research training group (IGDK) "Optimization and Numerical Analysis for Partial Differential Equations with Nonsmooth Structures" intends to meet this demand. The major goals of the proposed international research training group are: Transfer of cutting-edge research topics to the education of doctoral students. Development and investigation of novel methods in numerical treatment and optimization for problems involving PDEs and possessing nonsmooth structures. The involved institutions in Munich and Graz contribute to the joint research program through their internationally visible scientific strengths: The Technische Universität München has long range experience in the analytical and numerical treatment of nonlinear phenomena, where the institutes in Graz contribute their expertise in optimization, variational calculus, and numerical analysis. The combination of these expertise will result in high synergy effects which shall be highlighted and exploited by this international research training group: Methodological approaches ranging from adaptivity and nonsmooth optimization to the treatment of interfaces and shapes will enter in the research and study program of the proposed international research training group. Our concept for a successful education of doctoral students will be based upon bilateral supervision, mentoring, and performance control. Simultaneously we shall encourage doctoral students to early scientific independence. The study program consisting of lectures, compact courses, and summer schools will provide the knowledge of state-of- the art methods for numerical analysis and optimization of problems governed by PDEs.
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consortium member (1.3.2012 - 31.8.2021)
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consortium member (1.3.2012 - 31.8.2021)
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consortium member (1.3.2012 - 31.8.2021)
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consortium member (1.3.2012 - 31.8.2021)
- Technische Universität Graz
- Universität Graz
- Olaf Steinbach, Technische Universität Graz , associated research partner
Research Output
- 6157 Citations
- 316 Publications
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2019
Title Total generalized variation regularization for multi-modal electron tomography DOI 10.1039/c8nr09058k Type Journal Article Author Huber R Journal Nanoscale Pages 5617-5632 Link Publication -
2013
Title Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control DOI 10.1137/120885772 Type Journal Article Author Leykekhman D Journal SIAM Journal on Numerical Analysis Pages 2797-2821 -
2013
Title Quasi-optimal A Priori Interface Error Bounds and A Posteriori Estimates for the Interior Penalty Method DOI 10.1137/120888405 Type Journal Article Author Waluga C Journal SIAM Journal on Numerical Analysis Pages 3259-3279 -
2013
Title A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space DOI 10.1137/120889137 Type Journal Article Author Pieper K Journal SIAM Journal on Control and Optimization Pages 2788-2808 Link Publication -
2013
Title Propagation of Quantum Expectations with Husimi Functions DOI 10.1137/120889186 Type Journal Article Author Keller J Journal SIAM Journal on Applied Mathematics Pages 1557-1581 Link Publication -
2013
Title Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems DOI 10.1137/080735734 Type Journal Article Author May S Journal SIAM Journal on Control and Optimization Pages 2585-2611 -
2013
Title Adaptive Regularized Self-Consistent Field Iteration with Exact Hessian for Electronic Structure Calculation DOI 10.1137/120894385 Type Journal Article Author Wen Z Journal SIAM Journal on Scientific Computing -
2013
Title Analytical solutions for the free surface hydrostatic Euler equations DOI 10.4310/cms.2013.v11.n4.a5 Type Journal Article Author Boulanger A Journal Communications in Mathematical Sciences Pages 993-1010 Link Publication -
2013
Title Is the one-equation coupling of finite and boundary element methods always stable? DOI 10.1002/zamm.201100188 Type Journal Article Author Of G Journal ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Pages 476-484 -
2013
Title On the computation of the energy-optimal route dependent on the traffic load in Ingolstadt DOI 10.1016/j.trc.2013.07.001 Type Journal Article Author Kluge S Journal Transportation Research Part C: Emerging Technologies Pages 97-115 -
2013
Title Boundary integral equations for Helmholtz boundary value and transmission problems DOI 10.1515/9783110282283.253 Type Book Chapter Author Steinbach O Publisher De Gruyter Pages 253-292 -
2013
Title Multipoint flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media DOI 10.1515/9783110282245.39 Type Book Chapter Author Wolff M Publisher De Gruyter Pages 39-80 -
2013
Title Analysis of a kinematic dynamo model with FEM–BEM coupling DOI 10.1002/mma.2991 Type Journal Article Author Lemster W Journal Mathematical Methods in the Applied Sciences Pages 2484-2501 -
2013
Title Funktionentheorie DOI 10.1007/978-3-0348-0472-1 Type Book Author Bornemann F Publisher Springer Nature -
2013
Title A priori error estimates for finite element discretizations of a shape optimization problem DOI 10.1051/m2an/2013086 Type Journal Article Author Kiniger B Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 1733-1763 Link Publication -
2013
Title Consistency of variational continuous-domain quantization via kinetic theory DOI 10.1080/00036811.2012.671299 Type Journal Article Author Fornasier M Journal Applicable Analysis Pages 1283-1298 Link Publication -
2013
Title Lossy Compression in Optimal Control of Cardiac Defibrillation DOI 10.1007/s10915-013-9785-x Type Journal Article Author Götschel S Journal Journal of Scientific Computing Pages 35-59 Link Publication -
2013
Title A 2D model for hydrodynamics and biology coupling applied to algae growth simulations DOI 10.1051/m2an/2013072 Type Journal Article Author Bernard O Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 1387-1412 Link Publication -
2012
Title A bilevel optimization approach to obtain optimal cost functions for human arm movements DOI 10.3934/naco.2012.2.105 Type Journal Article Author Albrecht S Journal Numerical Algebra, Control & Optimization Pages 105-127 -
2012
Title Primal-dual methods for the computation of trading regions under proportional transaction costs DOI 10.1007/s00186-012-0416-3 Type Journal Article Author Herzog R Journal Mathematical Methods of Operations Research Pages 101-130 Link Publication -
2012
Title Computing Boundary Element Method’s Matrices on GPU DOI 10.1007/978-3-642-29843-1_39 Type Book Chapter Author Haase G Publisher Springer Nature Pages 343-350 Link Publication -
2012
Title Optimal control of the bidomain system (II): uniqueness and regularity theorems for weak solutions DOI 10.1007/s10231-012-0254-1 Type Journal Article Author Kunisch K Journal Annali di Matematica Pura ed Applicata Pages 951-986 Link Publication -
2012
Title OSAMOAL: Optimized Simulations by Adapted MOdels using Asymptotic Limits* DOI 10.1051/proc/201238010 Type Journal Article Author Boulanger A Journal ESAIM: Proceedings Pages 183-201 Link Publication -
2012
Title Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls DOI 10.1007/s10107-012-0587-y Type Journal Article Author Kunisch K Journal Mathematical Programming Pages 461-483 Link Publication -
2012
Title Density Functional Theory and Optimal Transportation with Coulomb Cost DOI 10.1002/cpa.21437 Type Journal Article Author Cotar C Journal Communications on Pure and Applied Mathematics Pages 548-599 Link Publication -
2012
Title Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow DOI 10.1093/imamat/hxs048 Type Journal Article Author Baber K Journal IMA Journal of Applied Mathematics Pages 887-909 -
2012
Title hp analysis of a hybrid DG method for Stokes flow DOI 10.1093/imanum/drs018 Type Journal Article Author Egger H Journal IMA Journal of Numerical Analysis Pages 687-721 -
2012
Title Optimal contours for high-order derivatives DOI 10.1093/imanum/drs030 Type Journal Article Author Bornemann F Journal IMA Journal of Numerical Analysis Pages 403-412 Link Publication -
2012
Title Optimal control of the bidomain system (I): The monodomain approximation with the Rogers–McCulloch model DOI 10.1016/j.nonrwa.2011.11.003 Type Journal Article Author Kunisch K Journal Nonlinear Analysis: Real World Applications Pages 1525-1550 Link Publication -
2012
Title Learning Functions of Few Arbitrary Linear Parameters in High Dimensions DOI 10.1007/s10208-012-9115-y Type Journal Article Author Fornasier M Journal Foundations of Computational Mathematics Pages 229-262 Link Publication -
2012
Title On free surface PDE constrained shape optimization problems DOI 10.1016/j.amc.2012.05.032 Type Journal Article Author Kasumba H Journal Applied Mathematics and Computation Pages 11429-11450 Link Publication -
2012
Title Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach DOI 10.1017/jfm.2011.534 Type Journal Article Author Chertock A Journal Journal of Fluid Mechanics Pages 155-190 -
2012
Title A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION DOI 10.1142/s021820251150014x Type Journal Article Author Egger H Journal Mathematical Models and Methods in Applied Sciences Pages 1150014 -
2012
Title Convergence Analysis of a Galerkin Boundary Element Method for the Dirichlet Laplacian Eigenvalue Problem DOI 10.1137/100801986 Type Journal Article Author Steinbach O Journal SIAM Journal on Numerical Analysis Pages 710-728 Link Publication -
2012
Title Crank--Nicolson Schemes for Optimal Control Problems with Evolution Equations DOI 10.1137/100819333 Type Journal Article Author Apel T Journal SIAM Journal on Numerical Analysis Pages 1484-1512 -
2012
Title Optimization Methods on Riemannian Manifolds and Their Application to Shape Space DOI 10.1137/11082885x Type Journal Article Author Ring W Journal SIAM Journal on Optimization Pages 596-627 Link Publication -
2012
Title Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods DOI 10.1137/110832999 Type Journal Article Author Melenk J Journal SIAM Journal on Numerical Analysis Pages 2064-2087 -
2012
Title Optimal control for an elliptic system with convex polygonal control constraints DOI 10.1093/imanum/drs029 Type Journal Article Author Kunisch K Journal IMA Journal of Numerical Analysis Pages 875-897 Link Publication -
2012
Title Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact DOI 10.1137/110848190 Type Journal Article Author Popp A Journal SIAM Journal on Scientific Computing -
2012
Title Coupling of Discontinuous Galerkin Finite Element and Boundary Element Methods DOI 10.1137/110848530 Type Journal Article Author Of G Journal SIAM Journal on Scientific Computing -
2012
Title On the Convergence Rates of Gauss and Clenshaw--Curtis Quadrature for Functions of Limited Regularity DOI 10.1137/120869845 Type Journal Article Author Xiang S Journal SIAM Journal on Numerical Analysis Pages 2581-2587 Link Publication -
2012
Title Optimal control approach to termination of re-entry waves in cardiac electrophysiology DOI 10.1007/s00285-012-0557-2 Type Journal Article Author Nagaiah C Journal Journal of Mathematical Biology Pages 359-388 Link Publication -
2007
Title Adaptive SpaceTime Finite Element Methods for Parabolic Optimization Problems DOI 10.1137/060648994 Type Journal Article Author Meidner D Journal SIAM Journal on Control and Optimization Pages 116-142 Link Publication -
2008
Title On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints DOI 10.1051/cocv:2008038 Type Journal Article Author Neitzel I Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 426-453 Link Publication -
2008
Title Strategies for time-dependent PDE control with inequality constraints using an integrated modeling and simulation environment DOI 10.1007/s11075-008-9225-4 Type Journal Article Author Neitzel I Journal Numerical Algorithms Pages 241-269 Link Publication -
2008
Title A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems DOI 10.1007/978-3-540-69777-0_77 Type Book Chapter Author Meidner D Publisher Springer Nature Pages 645-652 Link Publication -
2008
Title A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints DOI 10.1137/070694028 Type Journal Article Author Meidner D Journal SIAM Journal on Control and Optimization Pages 1301-1329 -
2007
Title Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems DOI 10.1007/978-3-540-28396-6_8 Type Book Chapter Author Becker R Publisher Springer Nature Pages 177-205 -
2023
Title Convergence of Pixel-Driven Discretizations of Projection Operators DOI 10.1109/nssmicrtsd49126.2023.10338450 Type Conference Proceeding Abstract Author Huber R Pages 1-1 -
2017
Title Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems DOI 10.1137/17m1110584 Type Journal Article Author Kuehn C Journal SIAM Journal on Applied Dynamical Systems Pages 1650-1685 Link Publication -
2017
Title Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains DOI 10.1093/imanum/drx059 Type Journal Article Author Apel T Journal IMA Journal of Numerical Analysis Pages 1984-2025 -
2017
Title Harmonic Mean Iteratively Reweighted Least Squares for Low-Rank Matrix Recovery DOI 10.1109/sampta.2017.8024466 Type Conference Proceeding Abstract Author Kümmerle C Pages 489-493 Link Publication -
2017
Title Global existence and Hadamard differentiability of hysteresis reaction–diffusion systems DOI 10.1007/s00028-017-0419-x Type Journal Article Author Münch C Journal Journal of Evolution Equations Pages 777-803 Link Publication -
2017
Title Entropy Methods and Convergence to Equilibrium for Volume-Surface Reaction-Diffusion Systems DOI 10.1007/978-3-319-66839-0_8 Type Book Chapter Author Fellner K Publisher Springer Nature Pages 153-176 Link Publication -
2017
Title Sparse Optimal Control of the KdV-Burgers Equation on a Bounded Domain DOI 10.1137/15m1020745 Type Journal Article Author Boulanger A Journal SIAM Journal on Control and Optimization Pages 3673-3706 Link Publication -
2016
Title Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem DOI 10.1007/s10957-016-0930-1 Type Journal Article Author Failer L Journal Journal of Optimization Theory and Applications Pages 1-27 -
2016
Title Nonlinear residual minimization by iteratively reweighted least squares DOI 10.1007/s10589-016-9829-x Type Journal Article Author Sigl J Journal Computational Optimization and Applications Pages 755-792 Link Publication -
2016
Title Self-consistent gradient flow for shape optimization DOI 10.1080/10556788.2016.1171864 Type Journal Article Author Kraft D Journal Optimization Methods and Software Pages 790-812 Link Publication -
2016
Title Biological transportation networks: Modeling and simulation DOI 10.1142/s0219530515400059 Type Journal Article Author Albi G Journal Analysis and Applications Pages 185-206 -
2016
Title Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls DOI 10.1137/141001366 Type Journal Article Author Kunisch K Journal SIAM Journal on Control and Optimization Pages 1212-1244 Link Publication -
2016
Title Invisible Control of Self-Organizing Agents Leaving Unknown Environments DOI 10.1137/15m1017016 Type Journal Article Author Albi G Journal SIAM Journal on Applied Mathematics Pages 1683-1710 Link Publication -
2016
Title On the Stabilizability of the Burgers Equation by Receding Horizon Control DOI 10.1137/15m1030352 Type Journal Article Author Azmi B Journal SIAM Journal on Control and Optimization Pages 1378-1405 Link Publication -
2016
Title Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system DOI 10.4310/cms.2016.v14.n6.a5 Type Journal Article Author Fellner K Journal Communications in Mathematical Sciences Pages 1553-1580 Link Publication -
2016
Title Game Channels for Trustless Off-Chain Interactions in Decentralized Virtual Worlds DOI 10.5195/ledger.2016.15 Type Journal Article Author Kraft D Journal Ledger Pages 84-98 Link Publication -
2016
Title Error estimates for Neumann boundary control problems with energy regularization DOI 10.1515/jnma-2015-0072 Type Journal Article Author Apel T Journal Journal of Numerical Mathematics Pages 207-233 -
2016
Title One-phase flow in porous media with hysteresis DOI 10.1016/j.physb.2015.08.039 Type Journal Article Author Botkin N Journal Physica B: Condensed Matter Pages 183-186 -
2019
Title Finite element error estimates for one-dimensional elliptic optimal control by BV-functions DOI 10.3934/mcrf.2019041 Type Journal Article Author Hafemeyer D Journal Mathematical Control & Related Fields Pages 0-0 Link Publication -
2019
Title Duck traps: two-dimensional critical manifolds in planar systems DOI 10.1080/14689367.2019.1575337 Type Journal Article Author Kuehn C Journal Dynamical Systems Pages 584-612 Link Publication -
2019
Title An application of sparse measure valued Bayesian inversion to acoustic sound source identification DOI 10.1088/1361-6420/ab1497 Type Journal Article Author Engel S Journal Inverse Problems Pages 075005 -
2019
Title Stabilisation by noise on the boundary for a Chafee-Infante equation with dynamical boundary conditions DOI 10.3934/dcdsb.2019050 Type Journal Article Author Fellner K Journal Discrete & Continuous Dynamical Systems - B Pages 4055-4078 Link Publication -
2019
Title Maximum Norm Estimates for Energy-Corrected Finite Element Method DOI 10.1007/978-3-319-96415-7_92 Type Book Chapter Author Swierczynski P Publisher Springer Nature Pages 973-981 -
2019
Title A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems DOI 10.1137/18m1166948 Type Journal Article Author Bonifacius L Journal SIAM Journal on Control and Optimization Pages 129-162 Link Publication -
2019
Title Strong stability of linear parabolic time-optimal control problems? DOI 10.1051/cocv/2017079 Type Journal Article Author Bonifacius L Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 1 -
2019
Title Convergence of discrete and continuous unilateral flows for Ambrosio–Tortorelli energies and application to mechanics DOI 10.1051/m2an/2018057 Type Journal Article Author Almi S Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 659-699 -
2019
Title A parallel space–time boundary element method for the heat equation DOI 10.1016/j.camwa.2018.12.031 Type Journal Article Author Dohr S Journal Computers & Mathematics with Applications Pages 2852-2866 -
2019
Title Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields DOI 10.1137/18m1215700 Type Journal Article Author Khristenko U Journal SIAM/ASA Journal on Uncertainty Quantification Pages 948-974 Link Publication -
2019
Title New Optimal Control Problems in Density Functional Theory Motivated by Photovoltaics DOI 10.1137/18m1207272 Type Journal Article Author Friesecke G Journal Multiscale Modeling & Simulation Pages 926-947 Link Publication -
2015
Title The singular values of the GOE DOI 10.1142/s2010326315500094 Type Journal Article Author Bornemann F Journal Random Matrices: Theory and Applications Pages 1550009 -
2015
Title Regularity of random attractors for stochastic reaction-diffusion equations on unbounded domains DOI 10.1142/s0219493716500064 Type Journal Article Author Tang B Journal Stochastics and Dynamics Pages 1650006 Link Publication -
2015
Title Damping Noise-Folding and Enhanced Support Recovery in Compressed Sensing DOI 10.1109/tsp.2015.2461521 Type Journal Article Author Peter S Journal IEEE Transactions on Signal Processing Pages 5990-6002 Link Publication -
2015
Title Distributed Stability Tests for Large-Scale Systems With Limited Model Information DOI 10.1109/tcns.2015.2401191 Type Journal Article Author Deroo F Journal IEEE Transactions on Control of Network Systems Pages 298-309 Link Publication -
2015
Title A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part II: Numerics DOI 10.1137/15m1023877 Type Journal Article Author Bredies K Journal SIAM Journal on Imaging Sciences Pages 2851-2886 Link Publication -
2015
Title A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part I: Analytics DOI 10.1137/15m1023865 Type Journal Article Author Bredies K Journal SIAM Journal on Imaging Sciences Pages 2814-2850 Link Publication -
2015
Title A Proximal Gradient Method for Ensemble Density Functional Theory DOI 10.1137/14098973x Type Journal Article Author Ulbrich M Journal SIAM Journal on Scientific Computing -
2015
Title Reduced Basis Methods for Pricing Options with the Black--Scholes and Heston Models DOI 10.1137/140981216 Type Journal Article Author Burkovska O Journal SIAM Journal on Financial Mathematics Pages 685-712 Link Publication -
2015
Title Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials DOI 10.1137/140970495 Type Journal Article Author Artina M Journal SIAM Journal on Scientific Computing Link Publication -
2015
Title A Semismooth Newton-CG Method for Constrained Parameter Identification in Seismic Tomography DOI 10.1137/140968331 Type Journal Article Author Boehm C Journal SIAM Journal on Scientific Computing -
2015
Title Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation DOI 10.1137/140960645 Type Journal Article Author Neitzel I Journal SIAM Journal on Control and Optimization Pages 874-904 -
2015
Title Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems DOI 10.1137/130941353 Type Journal Article Author Gmeiner B Journal SIAM Journal on Scientific Computing -
2015
Title A Self-Concordant Interior Point Approach for Optimal Control with State Constraints DOI 10.1137/130936671 Type Journal Article Author Kruse F Journal SIAM Journal on Optimization Pages 770-806 -
2015
Title Data assimilation for hyperbolic conservation laws: A Luenberger observer approach based on a kinetic description DOI 10.4310/cms.2015.v13.n3.a1 Type Journal Article Author Boulanger A Journal Communications in Mathematical Sciences Pages 587-622 Link Publication -
2015
Title Sparse control of alignment models in high dimension DOI 10.3934/nhm.2015.10.647 Type Journal Article Author Bongini M Journal Networks & Heterogeneous Media Pages 647-697 Link Publication -
2015
Title Sparse initial data identification for parabolic PDE and its finite element approximations DOI 10.3934/mcrf.2015.5.377 Type Journal Article Author Casas E Journal Mathematical Control & Related Fields Pages 377-399 Link Publication -
2015
Title Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains DOI 10.3934/dcds.2015.35.441 Type Journal Article Author Quoc Tang B Journal Discrete & Continuous Dynamical Systems - A Pages 441-466 Link Publication -
2015
Title Weak differentiability of scalar hysteresis operators DOI 10.3934/dcds.2015.35.2405 Type Journal Article Author Brokate M Journal Discrete & Continuous Dynamical Systems - A Pages 2405-2421 Link Publication -
2015
Title Stability and Boundary Controllability of a Linearized Model of Flow in an Elastic Tube DOI 10.1051/cocv/2014039 Type Journal Article Author Peralta G Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 583-601 Link Publication -
2015
Title A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate DOI 10.1080/00036811.2015.1105962 Type Journal Article Author Fellner K Journal Applicable Analysis Pages 2661-2682 Link Publication -
2015
Title Artifact-Free Variational MPEG Decompression DOI 10.1007/978-3-319-18461-6_18 Type Book Chapter Author Bredies K Publisher Springer Nature Pages 216-228 Link Publication -
2015
Title On the finite time blow-up for filtration problems with nonlinear reaction DOI 10.1016/j.aml.2014.11.006 Type Journal Article Author Fellner K Journal Applied Mathematics Letters Pages 47-52 Link Publication -
2015
Title Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra DOI 10.1002/mma.3566 Type Journal Article Author Apel T Journal Mathematical Methods in the Applied Sciences Pages 1206-1232 -
2015
Title The Benefits of Anisotropic Mesh Adaptation for Brittle Fractures Under Plane-Strain Conditions DOI 10.1007/978-3-319-06053-8_3 Type Book Chapter Author Artina M Publisher Springer Nature Pages 43-67 Link Publication -
2015
Title Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion DOI 10.1002/mma.3407 Type Journal Article Author Desvillettes L Journal Mathematical Methods in the Applied Sciences Pages 3432-3443 -
2015
Title Isogeometric mortar methods DOI 10.1016/j.cma.2014.09.012 Type Journal Article Author Brivadis E Journal Computer Methods in Applied Mechanics and Engineering Pages 292-319 Link Publication -
2015
Title Minimal Time Problem with Impulsive Controls DOI 10.1007/s00245-015-9324-2 Type Journal Article Author Kunisch K Journal Applied Mathematics & Optimization Pages 75-97 Link Publication -
2015
Title Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics DOI 10.1016/j.apnum.2015.01.006 Type Journal Article Author Chamakuri N Journal Applied Numerical Mathematics Pages 130-139 Link Publication -
2015
Title Nonadiabatic nuclear dynamics of the ammonia cation studied by surface hopping classical trajectory calculations DOI 10.1063/1.4913962 Type Journal Article Author Belyaev A Journal The Journal of Chemical Physics Pages 104307 Link Publication -
2015
Title Frustrated Ferromagnetic Spin Chains: A Variational Approach to Chirality Transitions DOI 10.1007/s00332-015-9230-4 Type Journal Article Author Cicalese M Journal Journal of Nonlinear Science Pages 291-313 Link Publication -
2018
Title Calibration to American options: numerical investigation of the de-Americanization method DOI 10.1080/14697688.2017.1417622 Type Journal Article Author Burkovska O Journal Quantitative Finance Pages 1091-1113 Link Publication -
2018
Title Second order optimality conditions for optimal control of quasilinear parabolic equations DOI 10.3934/mcrf.2018001 Type Journal Article Author Bonifacius L Journal Mathematical Control & Related Fields Pages 1-34 Link Publication -
2018
Title Frequency-sparse optimal quantum control DOI 10.3934/mcrf.2018007 Type Journal Article Author Friesecke G Journal Mathematical Control & Related Fields Pages 155-176 Link Publication -
2018
Title Energy corrected FEM for optimal Dirichlet boundary control problems DOI 10.1007/s00211-018-0952-8 Type Journal Article Author John L Journal Numerische Mathematik Pages 913-938 -
2018
Title On the entropy method and exponential convergence to equilibrium for a recombination–drift–diffusion system with self-consistent potential DOI 10.1016/j.aml.2017.12.017 Type Journal Article Author Fellner K Journal Applied Mathematics Letters Pages 196-204 Link Publication -
2018
Title Receding horizon control for the stabilization of the wave equation DOI 10.3934/dcds.2018021 Type Journal Article Author Azmi B Journal Discrete & Continuous Dynamical Systems - A Pages 449-484 Link Publication -
2018
Title Well-posedness and exponential equilibration of a volume-surface reaction–diffusion system with nonlinear boundary coupling DOI 10.1016/j.anihpc.2017.07.002 Type Journal Article Author Fellner K Journal Annales de l'Institut Henri Poincaré C, Analyse non linéaire Pages 643-673 Link Publication -
2018
Title On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control? DOI 10.1051/cocv/2017001 Type Journal Article Author Azmi B Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 237-263 Link Publication -
2018
Title Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction–diffusion systems DOI 10.1007/s00033-018-0948-3 Type Journal Article Author Fellner K Journal Zeitschrift für angewandte Mathematik und Physik Pages 54 Link Publication -
2018
Title Optimal control of reaction-diffusion systems with hysteresis? DOI 10.1051/cocv/2018025 Type Journal Article Author Münch C Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 1453-1488 Link Publication -
2018
Title Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients DOI 10.3934/mcrf.2018017 Type Journal Article Author Trautmann P Journal Mathematical Control & Related Fields Pages 411-449 Link Publication -
2017
Title Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks DOI 10.1137/16m1073935 Type Journal Article Author Desvillettes L Journal SIAM Journal on Mathematical Analysis Pages 2666-2709 Link Publication -
2018
Title Adaptive time-step control for nonlinear fluid–structure interaction DOI 10.1016/j.jcp.2018.04.021 Type Journal Article Author Failer L Journal Journal of Computational Physics Pages 448-477 -
2018
Title Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology DOI 10.1016/j.amc.2018.04.031 Type Journal Article Author Egger H Journal Applied Mathematics and Computation Pages 351-367 Link Publication -
2018
Title Global classical solutions to reaction-diffusion systems in one and two dimensions DOI 10.4310/cms.2018.v16.n2.a5 Type Journal Article Author Tang B Journal Communications in Mathematical Sciences Pages 411-423 Link Publication -
2018
Title Modeling, identification, and optimization of violin bridges DOI 10.1002/pamm.201800405 Type Journal Article Author Marschke S Journal PAMM Link Publication -
2018
Title Consistent finite-dimensional approximation of phase-field models of fracture DOI 10.1007/s10231-018-0815-z Type Journal Article Author Almi S Journal Annali di Matematica Pura ed Applicata (1923 -) Pages 1191-1225 Link Publication -
2018
Title Maximum norm error estimates for Neumann boundary value problems on graded meshes DOI 10.1093/imanum/dry076 Type Journal Article Author Apel T Journal IMA Journal of Numerical Analysis Pages 474-497 -
2018
Title Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization DOI 10.4310/cms.2018.v16.n5.a11 Type Journal Article Author Antil H Journal Communications in Mathematical Sciences Pages 1395-1426 Link Publication -
2018
Title Preconditioned Space-Time Boundary Element Methods for the One-Dimensional Heat Equation DOI 10.1007/978-3-319-93873-8_22 Type Book Chapter Author Dohr S Publisher Springer Nature Pages 243-251 Link Publication -
2018
Title A bilevel approach for parameter learning in inverse problems DOI 10.1088/1361-6420/aade77 Type Journal Article Author Holler G Journal Inverse Problems Pages 115012 Link Publication -
2019
Title Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls DOI 10.1137/18m1213816 Type Journal Article Author Bonifacius L Journal SIAM Journal on Control and Optimization Pages 1730-1756 Link Publication -
2017
Title Constrained Optimization with Low-Rank Tensors and Applications to Parametric Problems with PDEs DOI 10.1137/16m1057607 Type Journal Article Author Garreis S Journal SIAM Journal on Scientific Computing -
2017
Title Linearly constrained evolutions of critical points and an application to cohesive fractures DOI 10.1142/s0218202517500014 Type Journal Article Author Artina M Journal Mathematical Models and Methods in Applied Sciences Pages 231-290 Link Publication -
2017
Title Geometric constraints in descent methods for shape optimisation DOI 10.1051/m2an/2017020 Type Journal Article Author Kraft D Journal ESAIM: Mathematical Modelling and Numerical Analysis Pages 2193-2212 Link Publication -
2017
Title Sparse Control of Multiagent Systems DOI 10.1007/978-3-319-49996-3_5 Type Book Chapter Author Bongini M Publisher Springer Nature Pages 173-228 Link Publication -
2017
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2017
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Title Inferring interaction rules from observations of evolutive systems I: The variational approach DOI 10.1142/s0218202517500208 Type Journal Article Author Bongini M Journal Mathematical Models and Methods in Applied Sciences Pages 909-951 Link Publication -
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2011
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2011
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2011
Title Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data DOI 10.1007/s10231-011-0228-8 Type Journal Article Author Fornasier M Journal Annali di Matematica Pura ed Applicata Pages 361-391 -
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Title A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems DOI 10.1080/01630563.2011.597915 Type Journal Article Author Neitzel I Journal Numerical Functional Analysis and Optimization Pages 1283-1315 Link Publication -
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2011
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Title A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time DOI 10.1137/100793888 Type Journal Article Author Meidner D Journal SIAM Journal on Control and Optimization Pages 1961-1997 -
2011
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2011
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2011
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2015
Title Uniform convergence of the POD method and applications to optimal control DOI 10.3934/dcds.2015.35.4477 Type Journal Article Author Kunisch K Journal Discrete & Continuous Dynamical Systems - A Pages 4477-4501 Link Publication -
2015
Title Time optimal control of the monodomain model in cardiac electrophysiology DOI 10.1093/imamat/hxv010 Type Journal Article Author Kunisch K Journal IMA Journal of Applied Mathematics Pages 1664-1683 Link Publication -
2015
Title Optimal feedback control for undamped wave equations by solving a HJB equation*** DOI 10.1051/cocv/2014033 Type Journal Article Author Kröner A Journal ESAIM: Control, Optimisation and Calculus of Variations Pages 442-464 Link Publication -
2015
Title A Gautschi time-stepping approach to optimal control of the wave equation DOI 10.1016/j.apnum.2014.12.001 Type Journal Article Author Kunisch K Journal Applied Numerical Mathematics Pages 55-76 Link Publication -
2014
Title A Note on the Existence of Nonsmooth Nonconvex Optimization Problems DOI 10.1007/s10957-014-0552-4 Type Journal Article Author Ito K Journal Journal of Optimization Theory and Applications Pages 697-706 Link Publication -
2014
Title A Hopf-Lax Formula for the Level-Set Equation and Applications to PDE-Constrained Shape Optimisation DOI 10.1109/mmar.2014.6957404 Type Conference Proceeding Abstract Author Kraft D Pages 498-503 Link Publication -
2014
Title Numerical Methods for a Kohn–Sham Density Functional Model Based on Optimal Transport DOI 10.1021/ct500586q Type Journal Article Author Chen H Journal Journal of Chemical Theory and Computation Pages 4360-4368 Link Publication -
2014
Title Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains DOI 10.1007/978-3-319-05083-6_26 Type Book Chapter Author Flaig T Publisher Springer Nature Pages 421-435 -
2014
Title Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations DOI 10.1088/0266-5611/30/4/045002 Type Journal Article Author Kaltenbacher B Journal Inverse Problems Pages 045002 Link Publication -
2014
Title Boundary control of bidomain equations with state-dependent switching source functions in the ionic model DOI 10.1016/j.jcp.2014.05.017 Type Journal Article Author Chamakuri N Journal Journal of Computational Physics Pages 227-242 Link Publication -
2014
Title Hagedorn Wavepackets in Time-Frequency and Phase Space DOI 10.1007/s00041-014-9330-9 Type Journal Article Author Lasser C Journal Journal of Fourier Analysis and Applications Pages 679-714 Link Publication -
2014
Title Graded Meshes in Optimal Control for Elliptic Partial Differential Equations: An Overview DOI 10.1007/978-3-319-05083-6_18 Type Book Chapter Author Apel T Publisher Springer Nature Pages 285-302 -
2014
Title Energy-Corrected Finite Element Methods for Corner Singularities DOI 10.1137/120871377 Type Journal Article Author Egger H Journal SIAM Journal on Numerical Analysis Pages 171-193 -
2014
Title A Semismooth Newton Method with Multidimensional Filter Globalization for $l_1$-Optimization DOI 10.1137/120892167 Type Journal Article Author Milzarek A Journal SIAM Journal on Optimization Pages 298-333 -
2014
Title Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side DOI 10.1137/130927619 Type Journal Article Author Ko¨Ppl T Journal SIAM Journal on Numerical Analysis Pages 1753-1769 -
2014
Title Local well-posedness of a class of hyperbolic PDE–ODE systems on a bounded interval DOI 10.1142/s0219891614500222 Type Journal Article Author Peralta G Journal Journal of Hyperbolic Differential Equations Pages 705-747 -
2014
Title Nested Newton Strategies for Energy-Corrected Finite Element Methods DOI 10.1137/130935392 Type Journal Article Author Ru¨De U Journal SIAM Journal on Scientific Computing -
2014
Title Measure Valued Directional Sparsity for Parabolic Optimal Control Problems DOI 10.1137/140959055 Type Journal Article Author Kunisch K Journal SIAM Journal on Control and Optimization Pages 3078-3108 Link Publication -
2014
Title Coupled Finite And Boundary Element Methods for Fluid-Solid Interaction Eigenvalue Problems DOI 10.1137/13093755x Type Journal Article Author Kimeswenger A Journal SIAM Journal on Numerical Analysis Pages 2400-2414 Link Publication -
2014
Title Classical and all-floating FETI methods for the simulation of arterial tissues DOI 10.1002/nme.4674 Type Journal Article Author Augustin C Journal International Journal for Numerical Methods in Engineering Pages 290-312 Link Publication -
2014
Title Dynamics of stochastic three dimensional Navier–Stokes–Voigt equations on unbounded domains DOI 10.1016/j.jmaa.2014.05.003 Type Journal Article Author Tang Q Journal Journal of Mathematical Analysis and Applications Pages 583-605 Link Publication -
2014
Title On Computation of the Shape Hessian of the Cost Functional Without Shape Sensitivity of the State Variable DOI 10.1007/s10957-013-0520-4 Type Journal Article Author Kasumba H Journal Journal of Optimization Theory and Applications Pages 779-804 Link Publication -
2014
Title Finite element error estimates on the boundary with application to optimal control DOI 10.1090/s0025-5718-2014-02862-7 Type Journal Article Author Apel T Journal Mathematics of Computation Pages 33-70 Link Publication -
2014
Title Distributed control design with local model information and guaranteed stability DOI 10.3182/20140824-6-za-1003.00917 Type Journal Article Author Deroo F Journal IFAC Proceedings Volumes Pages 4010-4017 -
2014
Title The bang-bang property of time optimal controls for the Burgers equation DOI 10.3934/dcds.2014.34.3611 Type Journal Article Author Kunisch K Journal Discrete & Continuous Dynamical Systems - A Pages 3611-3637 Link Publication -
2014
Title Three-dimensional tool design for steady-state electrochemical machining by continuous adjoint-based shape optimization DOI 10.1016/j.ces.2013.11.040 Type Journal Article Author Lu J Journal Chemical Engineering Science Pages 198-210 -
2014
Title Adjoint based optimal control of partially miscible two-phase flow in porous media with applications to CO2 sequestration in underground reservoirs DOI 10.1007/s11081-014-9270-x Type Journal Article Author Simon M Journal Optimization and Engineering Pages 103-130 -
2014
Title Space–time DG methods for the coupled electro–mechanical activation of the human heart DOI 10.1002/pamm.201410400 Type Journal Article Author Karabelas E Journal PAMM Pages 839-840 -
2014
Title Riemannian methods for optimization in a shape space of triangular meshes DOI 10.1080/17415977.2014.980243 Type Journal Article Author Kniely M Journal Inverse Problems in Science and Engineering Pages 1011-1039 -
2014
Title Landau–Zener type surface hopping algorithms DOI 10.1063/1.4882073 Type Journal Article Author Belyaev A Journal The Journal of Chemical Physics Pages 224108 Link Publication -
2014
Title Many–Core Sustainability by Pragma Directives DOI 10.1007/978-3-662-43880-0_51 Type Book Chapter Author Kucher A Publisher Springer Nature Pages 448-456 Link Publication -
2014
Title An energy space finite element approach for elliptic Dirichlet boundary control problems DOI 10.1007/s00211-014-0653-x Type Journal Article Author Of G Journal Numerische Mathematik Pages 723-748 Link Publication -
2011
Title A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems DOI 10.1007/s00211-011-0409-9 Type Journal Article Author Neitzel I Journal Numerische Mathematik Pages 345-386 -
2011
Title Path-following for optimal control of stationary variational inequalities DOI 10.1007/s10589-011-9400-8 Type Journal Article Author Kunisch K Journal Computational Optimization and Applications Pages 1345-1373 -
2011
Title Multilevel preconditioning and adaptive sparse solution of inverse problems DOI 10.1090/s0025-5718-2011-02507-x Type Journal Article Author Dahlke S Journal Mathematics of Computation Pages 419-446 Link Publication -
2011
Title Advanced Numerical Methods for PDE Constrained Optimization with Application to Optimal Design in Navier Stokes Flow DOI 10.1007/978-3-0348-0133-1_14 Type Book Chapter Author Brandenburg C Publisher Springer Nature Pages 257-275 -
2011
Title Constrained Optimization and Optimal Control for Partial Differential Equations DOI 10.1007/978-3-0348-0133-1 Type Book Publisher Springer Nature Link Publication -
2011
Title Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape DOI 10.1007/s00526-011-0427-6 Type Journal Article Author Au Yeung Y Journal Calculus of Variations and Partial Differential Equations Pages 81-100 Link Publication -
2011
Title Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems DOI 10.1007/978-3-0348-0133-1_18 Type Book Chapter Author Meidner D Publisher Springer Nature Pages 319-348 Link Publication -
2010
Title Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints DOI 10.1007/s10589-010-9357-z Type Journal Article Author Krumbiegel K Journal Computational Optimization and Applications Pages 181-207 Link Publication -
2010
Title On the Modeling of the Synovial Fluid DOI 10.1155/2010/104957 Type Journal Article Author Hron J Journal Advances in Tribology Pages 1-12 Link Publication -
2009
Title Goal-oriented error control of the iterative solution of finite element equations DOI 10.1515/jnum.2009.009 Type Journal Article Author Meidner D Journal Journal of Numerical Mathematics Pages 143-172