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

Authors:
Jungho Park
Affiliations:
R&D Group, KT, 17 Woomyeon-dong, Seocho-gu, Seoul 137-792 South Korea
Venue:
Applied Numerical Mathematics
Year:
2004

Citing 1
Cited 2

New substructuring domain decomposition methods for advection diffusion equations

Journal of Computational and Applied Mathematics

Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

Computers & Mathematics with Applications
Parallel Galerkin domain decomposition procedures based on the streamline diffusion method for convection-diffusion problems

Journal of Computational and Applied Mathematics

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Abstract

A nonoverlapping iterative domain decomposition procedure by nonconforming primal mixed finite elements is proposed for convection-diffusion problems. We use the nonconforming streamline diffusion method to resolve convection dominated problems, and Robin-type boundary conditions to transmit information between subdomains. The convergence of the parallel iterative procedure is shown in detail and numerical examples are given.