6533b7d1fe1ef96bd125cca8
RESEARCH PRODUCT
Parallel Schwarz methods for convection-dominated semilinear diffusion problems
V. SirotkinP. Tarvainensubject
Parallel computingApplied MathematicsNumerical analysisMathematical analysisParallel algorithmDomain decomposition methodsSingularly perturbed semilinear convection–diffusion problemMulti-level Schwarz methodsComputational MathematicsAdditive Schwarz methodDistributed memoryBoundary value problemSchwarz alternating methodConvection–diffusion equationMathematicsdescription
AbstractParallel two-level Schwarz methods are proposed for the numerical solution of convection-diffusion problems, with the emphasis on convection-dominated problems. Two variants of the methodology are investigated. They differ from each other by the type of boundary conditions (Dirichlet- or Neumann-type) posed on a part of the second-level subdomain interfaces. Convergence properties of the two-level Schwarz methods are experimentally compared with those of a variant of the standard multi-domain Schwarz alternating method. Numerical experiments performed on a distributed memory multiprocessor computer illustrate parallel efficiency of the methods.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-08-01 | Journal of Computational and Applied Mathematics |