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An iterative solver for a coupled system of Helmholtz equations
Author(s) -
Cooper K. D.,
Yarrow Maurice
Publication year - 1996
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(199603)12:2<207::aid-num4>3.0.co;2-u
Subject(s) - mathematics , solver , convergence (economics) , relaxation (psychology) , scheme (mathematics) , partial differential equation , multigrid method , iterative method , helmholtz equation , numerical partial differential equations , rate of convergence , mathematical analysis , mathematical optimization , computer science , boundary value problem , psychology , social psychology , channel (broadcasting) , computer network , economics , economic growth
An iterative solver for a pair of coupled partial differential equations that are related to the Maxwell equations is discussed. The convergence of the scheme depends on the choice of two parameters. When the first parameter is fixed, the scheme is seen to be a successive under‐relaxation scheme in the other parameter. A theory for convergence of the scheme is discussed for a special case of the equations, and several numerical examples are presented. © 1996 John Wiley & Sons, Inc.