Space-Time Finite Element Methods for Parabolic Initial-Boundary Value Problems with Non-smooth Solutions

DOI10.1007/978-3-030-41032-2_68zbMath1465.65098OpenAlexW3006591426MaRDI QIDQ3297746

Andreas Schafelner, Ulrich Langer

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41032-2_68

zbMATH Keywords

unstructured meshesadaptivityspace-time finite element methodsparabolic initial-boundary-value problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

Time‐continuous and time‐discontinuous space‐time finite elements for advection‐diffusion problems

Cites Work

• Unnamed Item
• Arbitrary dimension convection-diffusion schemes for space-time discretizations
• Space-time finite element methods for parabolic problems
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Space-time \(hp\)-approximation of parabolic equations
• Space-time finite element methods for parabolic evolution problems with variable coefficients
• Non-autonomous maximal regularity for forms given by elliptic operators of bounded variation
• 7. Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution
• The Mathematical Theory of Finite Element Methods

This page was built for publication: Space-Time Finite Element Methods for Parabolic Initial-Boundary Value Problems with Non-smooth Solutions