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Finite elements for exterior problems using integral equations
Author(s) -
Nedelec JeanClaude
Publication year - 1987
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.1650071106
Subject(s) - mathematics , integral equation , finite element method , bounded function , laplace transform , mathematical analysis , domain (mathematical analysis) , laplace's equation , calculus (dental) , partial differential equation , physics , thermodynamics , medicine , dentistry
We present some integral methods for exterior problems for the Laplace equation. Then we give finite element approximations for these equations and some errors estimates. Finally, we indicate how these integral equations can be coupled with a usual finite element method on a bounded domain to solve an exterior non‐linear problem which is linear far away.