The Neumann Series - A New Possibility For Coupling FEM And BEM
Price
Free (open access)
Transaction
Volume
14
Pages
10
Published
1996
Size
721 kb
Paper DOI
10.2495/BE960201
Copyright
WIT Press
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- leKeywords