Overlapping optimized Schwarz methods for parabolic equations in 𝑛 dimensions

DOI10.1090/S0002-9939-2012-11522-9zbMath1263.35124arXiv1008.0806MaRDI QIDQ4910775

Minh-Binh Tran

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0806

zbMATH Keywords

domain decomposition methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Second-order parabolic equations (35K10)

Related Items (4)

The mass‐conserving domain decomposition method for convection diffusion equations with variable coefficients ⋮ The conservative splitting domain decomposition method for multicomponent contamination flows in porous media ⋮ Parallelizing the Kolmogorov-Fokker-Planck equation ⋮ The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients

Cites Work

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• The behavior of domain decomposition methods when the overlapping length is large
• Classes of solutions of linear systems of partial differential equations of parabolic type
• A domain decomposition method for the Helmholtz equation and related optimal control problems
• Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation
• 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

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