Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations

DOI10.1137/130914401zbMath1295.65095arXiv1303.5985OpenAlexW2006493964MaRDI QIDQ5397624

Thi-Thao-Phuong Hoang, Michel Kern, Caroline Japhet, Jérôme Jaffré, Jean Elizabeth Roberts

Publication date: 24 February 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5985

zbMATH Keywords

convergencediffusion problemnumerical resultmixed formulationssemidiscrete problemsnonconforming time gridsspace-time domain decompositionoptimized Schwarz waveform relaxationtime-dependent Steklov-Poincaré operator

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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