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A nodal coupling of finite and boundary elements
Author(s) -
Sayas FranciscoJavier
Publication year - 2003
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/num.10057
Subject(s) - mathematics , boundary (topology) , finite element method , parametric statistics , coupling (piping) , bounded function , mathematical analysis , boundary value problem , laplace's equation , triangulation , boundary knot method , poincaré–steklov operator , simple (philosophy) , partial differential equation , singular boundary method , boundary element method , mixed boundary condition , geometry , robin boundary condition , structural engineering , engineering , mechanical engineering , statistics , philosophy , epistemology
This article presents and analyzes a simple method for the exterior Laplace equation through the coupling of finite and boundary element methods. The main novelty is the use of a smooth parametric artificial boundary where boundary elements fit without effort together with a straight approximate triangulation in the bounded area, with the coupling done only in nodes. A numerically integrated version of the algorithm is also analyzed. Finally, an isoparametric variant with higher order is proposed. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 555–570, 2003