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A characteristic nonoverlapping domain decomposition method for multidimensional convection‐diffusion equations
Author(s) -
Wang Hong,
Liu Jiangguo,
Espedal Magne S.,
Ewing Richard E.
Publication year - 2005
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20025
Subject(s) - domain decomposition methods , mathematics , partial differential equation , domain (mathematical analysis) , preconditioner , mathematical analysis , numerical partial differential equations , partial derivative , decomposition , convection–diffusion equation , multigrid method , decomposition method (queueing theory) , method of characteristics , hyperbolic partial differential equation , mortar methods , diffusion , finite element method , thermodynamics , physics , ecology , discrete mathematics , biology , linear system
We develop a quasi‐two‐level, coarse‐mesh‐free characteristic nonoverlapping domain decomposition method for unsteady‐state convection‐diffusion partial differential equations in multidimensional spaces. The development of the domain decomposition method is carried out by utilizing an additive Schwarz domain decomposition preconditioner, by using an Eulerian‐Lagrangian method for convection‐diffusion equations and by delicately choosing appropriate interface conditions that fully respect and utilize the hyperbolic nature of the governing equations. Numerical experiments are presented to illustrate the method. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005