Parallel characteristic finite element method for time-dependent convection-diffusion problem

DOI10.1002/nla.751zbMath1265.65205OpenAlexW1973291355MaRDI QIDQ2918583

Hongfei Fu, Hui Guo, Danping Yang, Jian-Song Zhang

Publication date: 8 October 2012

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.751

zbMATH Keywords

convergencefinite element methodnumerical examplesconvection-diffusion problemmethod of characteristicsoverlapping domain decompositionparallel algorithmparallel subspace correction

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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 ⋮ Parallel algorithm combined with mixed element procedure for compressible miscible displacement problem ⋮ Parallel characteristic mixed element method for saltwater intrusion problem ⋮ A NEW DOMAIN DECOMPOSITION PARALLEL ALGORITHM FOR CONVECTION–DIFFUSION PROBLEM

Cites Work

• Schwarz type domain decomposition algorithms for parabolic equations and error estimates
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Parallel Multilevel Preconditioners
• 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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