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The simple layer potential method of fundamental solutions for certain biharmonic problems
Author(s) -
Karageorghis Andreas,
Fairweather Graeme
Publication year - 1989
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650091005
Subject(s) - biharmonic equation , simple (philosophy) , mathematics , representation (politics) , flow (mathematics) , plane (geometry) , set (abstract data type) , mathematical analysis , computer science , geometry , boundary value problem , philosophy , programming language , epistemology , politics , political science , law
A novel formulation of the method of fundamental solutions for the numerical solution of plane biharmonic problems, based on the simple layer potential representation of Fichera, is presented. The applicability and accuracy of the method are demonstrated by examining its performance on a set of practical problems arising in Stokes fluid flow.