A nodal coupling of finite and boundary elements | Zendy

Sayas FranciscoJavier | Zendy

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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

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