Asymptotic behavior and \textit{a posteriori} error estimates for the generalized overlapping domain decomposition method for parabolic equation

DOI10.1186/s13661-015-0398-1zbMath1382.65305OpenAlexW1888374089WikidataQ59430284 ScholiaQ59430284MaRDI QIDQ284153

Khaled Habita, Mohamed Haiour, Salah Mahmoud Boulaaras

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0398-1

zbMATH Keywords

parabolic equationa posteriori error estimatesRobin conditiongeneralized overlapping domain decomposition method (GODDM)

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (3)

Unnamed Item ⋮ Unnamed Item ⋮ An asymptotic behavior and a posteriori error estimates for the generalized Schwartz method of advection-diffusion equation

Cites Work

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• A posteriori error estimates for the generalized overlapping domain decomposition methods
• Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media
• Geometry Related Convergence Results for Domain Decomposition Algorithms
• On the Schwarz Alternating Method with More than two Subdomains for Nonlinear Monotone Problems

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