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Parallel algorithms for a singularly perturbed parabolic problem
Author(s) -
Boglaev Igor
Publication year - 1999
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/(sici)1098-2426(199905)15:3<389::aid-num8>3.0.co;2-5
Subject(s) - mathematics , domain decomposition methods , convergence (economics) , domain (mathematical analysis) , algorithm , partial differential equation , decomposition , iterative method , finite element method , mathematical analysis , ecology , physics , biology , economics , thermodynamics , economic growth
Abstract This article deals with iterative algorithms for domain decomposition applied to the solution of a singularly perturbed parabolic problem. These algorithms are based on finite difference domain decomposition methods and are suitable for parallel computing. Convergence properties of the algorithms are established. Numerical results for test problems are presented. © 1999 Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 389–405, 1999