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Solution domain decomposition with finite difference methods for partial differential equations
Author(s) -
Nguyen Hoa D.,
Paik Seungho
Publication year - 1995
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.1690110504
Subject(s) - mathematics , domain decomposition methods , partial differential equation , superposition principle , context (archaeology) , finite difference , finite difference method , domain (mathematical analysis) , finite element method , mathematical analysis , thermodynamics , physics , paleontology , biology
The Solution Domain Decomposition method of Nguyen and Paik [ J. Sci. Comput. 4 , 357 (1993)] originally developed in a pseudospectral context is extended for use with finite difference techniques to solve partial differential equations. The essential idea behind this method lies in an application of the superposition principle, which allows interactions between adjacent subdomains to be decoupled and the resulting equations to be solved in parallel. Several tests are performed to assess its accuracy and efficiency based on a model problem arising from thermal convection inside a fluid‐saturated porous cavity with heating from a side. The results reveal a well adaptation of the methodology into the framework of finite differences. © 1995 John Wiley & Sons, Inc.