Dynamic parallel Galerkin domain decomposition procedures with grid modification for parabolic equation

DOI10.1002/FLD.2330zbMath1225.65096OpenAlexW2026622953MaRDI QIDQ3089018

Keying Ma, Tong-jun Sun

Publication date: 23 August 2011

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2330

zbMATH Keywords

Galerkin methoderror estimatesdomain decompositionnumerical experimentsfinite elementparallel computationintegral mean methodgrid modificationdiffusion-reaction parabolic equationinter-domain boundary flux calculation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) 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)

Related Items (6)

Domain decomposition procedures combined with \(H^1\)-Galerkin mixed finite element method for parabolic equation ⋮ A non-overlapping DDM for optimal boundary control problems governed by parabolic equations ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Parallel nonoverlapping DDM combined with the characteristic method for incompressible miscible displacements in porous media ⋮ Parallel Galerkin domain decomposition procedures based on the streamline diffusion method for convection-diffusion problems ⋮ A non-overlapping DDM combined with the characteristic method for optimal control problems governed by convection-diffusion equations

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