Simultaneous space-time finite element methods for parabolic optimal control problems

DOI10.1007/978-3-030-97549-4_36zbMath1487.49003arXiv2103.01688OpenAlexW3135489723MaRDI QIDQ2128453

Andreas Schafelner, Ulrich Langer

Publication date: 22 April 2022

Full work available at URL: https://arxiv.org/abs/2103.01688

zbMATH Keywords

parabolic optimal control problemsspace-time finite element methods\(L_2\)-regularization

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

Numerical modeling and open-source implementation of variational partition-of-unity localizations of space-time dual-weighted residual estimators for parabolic problems ⋮ Adaptive space-time finite element methods for parabolic optimal control problems

Uses Software

• MFEM

Cites Work

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• Non-autonomous maximal regularity for forms of bounded variation
• Space-time finite element methods for parabolic evolution problems with variable coefficients
• Comparison of algebraic multigrid methods for an adaptive space–time finite‐element discretization of the heat equation in 3D and 4D
• Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization
• Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations

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