A non-overlapping domain decomposition method for parabolic initial-boundary value problems

DOI10.1016/S0168-9274(98)00053-1zbMath0924.65094OpenAlexW1995187808MaRDI QIDQ1294528

Hannes Müller, F. C. Otto, Gert Lube

Publication date: 2 November 1999

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00053-1

zbMATH Keywords

convergenceGalerkin methodnumerical examplesnon-overlapping domain decomposition methodparabolic initial boundary value problemsadvection-reaction-diffusion model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (5)

Hybrid domain decomposition filters for advection-diffusion PDEs with mobile sensors ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Solver algorithm for stabilized space-time formulation of advection-dominated diffusion problem ⋮ A parallel coupling strategy for the Chimera and domain decomposition methods in computational mechanics ⋮ The convergence of classical Schwarz methods applied to convection--diffusion problems with regular boundary layers

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• An accelerated domain decomposition procedure based on Robin transmission conditions
• Stabilized finite element methods for singularly perturbed parabolic problems
• A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE OSEEN EQUATIONS
• FACTORIZATION OF THE CONVECTION-DIFFUSION OPERATOR AND THE SCHWARZ ALGORITHM

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