WIT Press


The Neumann Series - A New Possibility For Coupling FEM And BEM

Price

Free (open access)

Paper DOI

10.2495/BE960201

Volume

14

Pages

10

Published

1996

Size

721 kb

Author(s)

K. Turke & E. Schnack

Abstract

This paper presents a coupling algorithm of the Finite Element Method and the Boundary Element Method within a domain decomposition proce- dure for solving mixed boundary value problems in elastostatics. A mixed variational formulation on the coupling interfaces leads to the use of non- conforming grids for each substructure (cf. Schnack^). The local BEM problems are solved iteratively by expanding the boundary integral equa- tion in a Neumann series. As a consequence the properties of the coupling operator concerning symmetry and definiteness can be controlled automat- ically within an adaptive algorithm. 1 Domain decomposition with non-overlapping sub- structures We consider a bounded, isotropic interior domain 0 = O U F in R™, (m = 2,3), with a Lipschitz boundary F = <9Q. The boundary value prob- le

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