Space-time finite element methods for parabolic evolution problems with variable coefficients

DOI10.1007/978-3-030-14244-5_13zbMath1433.65217OpenAlexW2953509636MaRDI QIDQ2290599

Andreas Schafelner, Martin Neumüller, Ulrich Langer

Publication date: 29 January 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-14244-5_13

zbMATH Keywords

space-time finite element methodparabolic initial-boundary value problemsparallel AMG-preconditioned GMRES solver

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

Related Items (8)

Simultaneous space-time finite element methods for parabolic optimal control problems ⋮ Group projected subspace pursuit for identification of variable coefficient differential equations (GP-IDENT) ⋮ Time‐continuous and time‐discontinuous space‐time finite elements for advection‐diffusion problems ⋮ Accuracy Estimates for Bilinear Optimal Control Problems Governed by Ordinary Differential Equations ⋮ Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources ⋮ Space-Time Finite Element Methods for Parabolic Initial-Boundary Value Problems with Non-smooth Solutions ⋮ Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations ⋮ Robust discretization and solvers for elliptic optimal control problems with energy regularization

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