A domain splitting algorithm for parabolic problems

DOI10.1007/BF02238647zbMath0767.65073OpenAlexW70665148MaRDI QIDQ1195790

S. Lisky, Rolf Rannacher, Heribert Blum

Publication date: 13 January 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238647

zbMATH Keywords

stabilitydomain decompositionnumerical testsparallel implementationtransputer systemdomain splitting schemefully explicit schemeparallel time stepping

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (16)

Parallel domain decomposition procedures of improved D-D type for parabolic problems ⋮ Domain decomposition method for parabolic problems with Neumann conditions ⋮ Dynamic domain decomposition and grid modification for parabolic problems ⋮ Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation ⋮ A stabilized finite element method for the Stokes-Stokes coupling interface problem ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Domain decomposition strategies for the stochastic heat equation ⋮ Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation ⋮ Subspace correction methods for nonsymmetric parabolic problems ⋮ IPIC domain decomposition algorithm for parabolic problems ⋮ ADI method -- domain decomposition ⋮ Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods ⋮ A domain splitting method for heat conduction problems in composite materials ⋮ Domain decomposition methods for solving parabolic PDEs on multiprocessors ⋮ Second-order treatment of the interface of domain decomposition method for parabolic problems ⋮ Convergence analysis of domain decomposition algorithms with full overlapping for the advection-diffusion problems

Cites Work

• On the performance of transputer networks for solving linear systems of equations
• The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
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