Parallel characteristic finite difference method for convection-diffusion equations

DOI10.1002/num.20557zbMath1226.65082OpenAlexW2153774285MaRDI QIDQ3015173

Danping Yang, Jian-Song Zhang

Publication date: 8 July 2011

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20557

zbMATH Keywords

convergenceoverlapping domain decompositionconvection-diffusion equationsparallel subspace correctioncharacteristic finite difference method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (5)

A new parallel subspace correction method for advection-diffusion equation ⋮ Parallel Splitting Positive Definite Mixed Element Method for Parabolic Problem ⋮ An efficient MMOCAA-DDM for solving advection diffusion equations ⋮ Parallel algorithm combined with mixed element procedure for compressible miscible displacement problem ⋮ Parallel characteristic mixed element method for saltwater intrusion problem

Cites Work

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• Parallel finite difference schemes for heat equation based upon overlapping domain decomposition
• Schwarz type domain decomposition algorithms for parabolic equations and error estimates
• Additive Schwarz methods for parabolic problems
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Iterative Methods by Space Decomposition and Subspace Correction
• Multiplicative Schwarz Methods for Parabolic Problems
• The method of subspace corrections

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