Monotone Schwarz iterates for a semilinear parabolic convection--diffusion problem

DOI10.1016/j.cam.2005.01.012zbMath1075.65110OpenAlexW1982526755MaRDI QIDQ2488298

Igor P. Boglaev

Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.01.012

zbMATH Keywords

stabilitysingular perturbationuniform convergencedomain decompositionconvection-diffusion problemmethod of upper and lower solutionssemilinear convection-diffusion equationmonotone Schwarz algorithmmonotone Schwarz alternating algorithms

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (5)

Convergence of Three-Step Taylor Galerkin Finite Element Scheme Based Monotone Schwarz Iterative Method for Singularly Perturbed Differential-Difference Equation ⋮ A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ The solution of a semilinear evolutionary convection-diffusion problem by a monotone domain decomposition algorithm ⋮ Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems

Cites Work

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• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Parallel Schwarz Method for a Convection-Diffusion Problem
• Methods of constructing grid approximations for singularly perturbed boundary-value problems. Condensing-grid methods
• A monotone Schwarz algorithm for a semilinear convection–diffusion problem

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