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Parallel fictitious domain method for a non‐linear elliptic neumann boundary value problem
Author(s) -
Rossi Tuomo,
Toivanen Jari
Publication year - 1999
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199901/02)6:1<51::aid-nla145>3.0.co;2-#
Subject(s) - boundary value problem , neumann boundary condition , domain (mathematical analysis) , domain decomposition methods , mathematics , scalability , elliptic curve , variable (mathematics) , algebraic equation , elliptic boundary value problem , algebraic number , fictitious domain method , parallel computing , computer science , mathematical analysis , free boundary problem , nonlinear system , finite element method , physics , database , quantum mechanics , thermodynamics
Abstract Parallelization of the algebraic fictitious domain method is considered for solving Neumann boundary value problems with variable coefficients. The resulting method is applied to the parallel solution of the subsonic full potential flow problem which is linearized by the Newton method. Good scalability of the method is demonstrated on a Cray T3E distributed memory parallel computer using MPI in communication. Copyright © 1999 John Wiley & Sons, Ltd.