The behavior of domain decomposition methods when the overlapping length is large

DOI10.2478/S11533-014-0431-0zbMath1298.65190OpenAlexW2004285109MaRDI QIDQ403181

Minh-Binh Tran

Publication date: 29 August 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/222

zbMATH Keywords

algorithmconvergencesemilinear elliptic equationsdomain decompositionSchwarz methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Semilinear elliptic equations (35J61)

Related Items (2)

An improved iterative HDG approach for partial differential equations ⋮ Overlapping optimized Schwarz methods for parabolic equations in 𝑛 dimensions

Cites Work

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• A convergence theory for an overlapping Schwarz algorithm using discontinuous iterates
• On the geometric convergence of optimized Schwarz methods with applications to elliptic problems
• Schwarz Waveform Relaxation Algorithms with Nonlinear Transmission Conditions for Reaction-Diffusion Equations
• A homographic best approximation problem with application to optimized Schwarz waveform relaxation
• Nonlinear nonoverlapping Schwarz waveform relaxation for semilinear wave propagation
• Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
• Optimized Schwarz Methods

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