Year: 2014
Type: preprint
Abstract: In this work we address the complexity problem of the isogeometric Boundary Element Method by proposing a collocation scheme for practical problems in linear elasticity and the application of hierarchical matrices. For mixed boundary value problems, a block system of matrices similar to Galerkin formulations is constructed allowing an effective application of that matrix format. We introduce a strategy for the geometric bisection of surfaces based on NURBS patches. The approximation of system matrices is carried out by means of kernel interpolation. Numerical results are shown that prove the success of the formulation.
Source: arXiv (Cornell University)
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funder: Austrian Science Fund
OpenAlex ID: W2396668358