Parallel Schwarz methods for convection-dominated semilinear diffusion problems

DOI10.1016/S0377-0427(01)00575-1zbMath1012.65135OpenAlexW1984699403WikidataQ110032302 ScholiaQ110032302MaRDI QIDQ1612397

R. Smith

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00575-1

zbMATH Keywords

convergencesingular perturbationnumerical experimentsconvection-diffusion problemsparallel computationSchwarz alternating methodsemilinear diffusion problemstwo-level Schwarz methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Parallel numerical computation (65Y05)

Related Items (1)

A brief survey on numerical methods for solving singularly perturbed problems

Cites Work

• Global solutions of reaction-diffusion systems
• The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms
• Calculation of extinction limits for premixed laminar flames in a stagnation point flow
• Parallel two-level Schwarz methods for singularly perturbed elliptic problems
• Linear and quasilinear elliptic equations
• Numerical solution of some quasilinear singularly perturbed heat-conduction equations on nonuniform grids
• A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
• Uniform Convergence of the Schwarz Alternating Method for Solving Singularly Perturbed Advection-Diffusion Equations
• A SPRAY COMBUSTION PROBLEM
• Overlapping Schwarz Methods for a Singularly Perturbed Semilinear Elliptic Problem and Their Parallel Implementation
• A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems
• A Schwarz Alternating Procedure for Singular Perturbation Problems
• Modelling and Analysis of a Spray of Droplets' Combustion Problem
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