Parallel Galerkin domain decomposition procedures for parabolic equation on general domain

DOI10.1002/NUM.20394zbMath1173.65061OpenAlexW2058727726WikidataQ112878974 ScholiaQ112878974MaRDI QIDQ3396267

Danping Yang, Keying Ma, Tong-jun Sun

Publication date: 17 September 2009

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20394

zbMATH Keywords

stabilitynumerical experimentsparallel computationerror boundsextrapolation methodparabolic equationdomain decomposition methodintegral mean methodimplicit Galerkin method

Mathematics Subject Classification ID

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) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (14)

Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes ⋮ A new parallel subspace correction method for advection-diffusion equation ⋮ Parallel Galerkin domain decomposition procedures for wave equation ⋮ Parallel Splitting Positive Definite Mixed Element Method for Parabolic Problem ⋮ 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 D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation ⋮ 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 ⋮ Dynamic parallel Galerkin domain decomposition procedures with grid modification for parabolic equation ⋮ Galerkin domain decomposition procedures for parabolic equations on rectangular domain ⋮ A NEW DOMAIN DECOMPOSITION PARALLEL ALGORITHM FOR CONVECTION–DIFFUSION PROBLEM

Cites Work

• Unnamed Item
• Schwarz type domain decomposition algorithms for parabolic equations and error estimates
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 2, Refinements
• Parallel Multilevel Preconditioners
• Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
• Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1
• Multiplicative Schwarz Methods for Parabolic Problems

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