A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems

DOI10.1023/A:1019133818553zbMath0916.65113MaRDI QIDQ1281793

Magne S. Espedal, Xue-Cheng Tai, Ning-Ning Yan

Publication date: 22 March 1999

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

algorithmsconvergenceiterative algorithmdomain decompositionnumerical experimentserror analysisadvection-diffusion problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (1)

A primal mixed domain decomposition procedure based on the nonconforming streamline diffusion method

Cites Work

• A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods
• Convergence Analysis of the Schwarz Algorithm and Multilevel Decomposition Iterative Methods II: Nonselfadjoint and Indefinite Elliptic Problems
• Domain Decomposition Algorithms for Indefinite Elliptic Problems
• A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
• A Preconditioned GMRES Method for Nonsymmetric or Indefinite Problems
• Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Boundary Layers in Linear Elliptic Singular Perturbation Problems
• Subspace correction methods for nonsymmetric parabolic problems
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