Two-component domain decomposition scheme with overlapping subdomains for parabolic equations

DOI10.1016/j.cam.2017.09.015zbMath1432.65149arXiv1705.03434OpenAlexW2612795713WikidataQ57694485 ScholiaQ57694485MaRDI QIDQ1636817

Petr N. Vabishchevich

Publication date: 12 June 2018

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

Full work available at URL: https://arxiv.org/abs/1705.03434

zbMATH Keywords

finite element methodparabolic equationdifference schemedomain decomposition methodstability of difference schemesevolutionary equation

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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

Subdomain solution decomposition method for nonstationary problems

Cites Work

• Vector additive difference schemes for first-order evolution equations.
• Regionally additive difference schemes with a stabilizing correction for parabolic problems
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• A substructuring domain decomposition scheme for unsteady problems
• Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics
• Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
• An Alternating Direction Method for Operator Equations
• Regularization of difference schemes
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