TY - GEN
T1 - A general boundary element method for homogeneous differential operators - Linear or nonlinear
AU - Duddeck, Fabian M.E.
PY - 2000
Y1 - 2000
N2 - For many engineering problems (e.g. anisotropic media) the fundamental solutions which are essential for boundary element methods (BEM) are not known analytically. Therefore, alternative boundary integral equations (BIE) are presented here which are obtained by a spatial Fourier transformation of the corresponding integral terms. In this transformed domain, the fundamental solution is always known and has a simple structure. Instead of transferring it back to the original domain (which is analytically often not possible) the already discretized unknowns are transferred into the transformed domain where all BIE are evaluated. The realization for isotropic and anisotropic plates (Kirchhoff) should visualize that this approach is possible for all homogeneous problems. First insights of the corresponding nonlinear BEM-formulations are given.
AB - For many engineering problems (e.g. anisotropic media) the fundamental solutions which are essential for boundary element methods (BEM) are not known analytically. Therefore, alternative boundary integral equations (BIE) are presented here which are obtained by a spatial Fourier transformation of the corresponding integral terms. In this transformed domain, the fundamental solution is always known and has a simple structure. Instead of transferring it back to the original domain (which is analytically often not possible) the already discretized unknowns are transferred into the transformed domain where all BIE are evaluated. The realization for isotropic and anisotropic plates (Kirchhoff) should visualize that this approach is possible for all homogeneous problems. First insights of the corresponding nonlinear BEM-formulations are given.
KW - Anisotropic plates
KW - Distribution theory
KW - Fourier transformation
KW - Fourier-boundary element method
KW - Galerkin boundary integral equations
KW - Nonlinear BEM
UR - http://www.scopus.com/inward/record.url?scp=84880170260&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84880170260
SN - 8489925704
SN - 9788489925700
T3 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Y2 - 11 September 2000 through 14 September 2000
ER -