7. Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution

DOI10.1515/9783110548488-007zbMath1453.65344OpenAlexW2976061740MaRDI QIDQ3299951

Publication date: 27 July 2020

Published in: Space-Time Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110548488-007

zbMATH Keywords

heat equation space-time isogeometric analysis

Mathematics Subject Classification ID

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) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (12)

Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations ⋮ Design and performance of a space-time virtual element method for the heat equation on prismatic meshes ⋮ A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations ⋮ Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022 ⋮ 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 ⋮ Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation ⋮ Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems ⋮ Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces ⋮ 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 ⋮ Adaptive space-time finite element methods for parabolic optimal control problems

This page was built for publication: 7. Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution