Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations

DOI10.1007/s00211-018-0985-zzbMath1402.65107arXiv1708.01479OpenAlexW2745310824WikidataQ92985888 ScholiaQ92985888MaRDI QIDQ1616033

Monika Eisenmann, Eskil Hansen

Publication date: 31 October 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01479

zbMATH Keywords

domain decompositiondegenerate parabolic equations

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solutions to abstract evolution equations (65J08)

Related Items

Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line ⋮ An exploratory study on machine learning to couple numerical solutions of partial differential equations ⋮ Convergence analysis on computation of coupled advection-diffusion-reaction problems ⋮ Convergence Analysis of the Nonoverlapping Robin--Robin Method for Nonlinear Elliptic Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Full discretization of the porous medium/fast diffusion equation based on its very weak formulation
• Domain decomposition methods for the numerical solution of partial differential equations
• Mixed finite element domain decomposition for nonlinear parabolic problems
• Space-time domain decomposition for parabolic problems
• Modified Douglas splitting methods for reaction-diffusion equations
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• Global and uniform convergence of subspace correction methods for some convex optimization problems
• Domain Decomposition Scheme for First-Order Evolution Equations with Nonselfadjoint Operators
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
• Additive domain decomposition operator splittings—convergence analyses in a dissipative framework
• Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
• Galerkin Finite Element Methods for Parabolic Problems
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces