Domain decomposition techniques for reaction-diffusion equations in two-dimensional regions with re-entrant corners

DOI10.1016/S0096-3003(99)00214-3zbMath1023.65101OpenAlexW2161311190MaRDI QIDQ5931706

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Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00214-3

zbMATH Keywords

numerical examplesapproximate factorizationbi-conjugate-gradient-stabilized techniquedifference methodnon-overlapping domain decompositionnonlinear reaction-diffusion equationsre-entrant cornerssystemtheta-method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

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• A Preconditioner Based on Domain Decomposition forh-pFinite-Element Approximation on Quasi-Uniform Meshes
• A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations
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