arXiv subjects

Thomas-Peter Fries

Publications and source records attributed to Thomas-Peter Fries.

20 records · Page 2Linked to original sources

arXiv2014

Boundary Element Analysis with trimmed NURBS and a generalized IGA approach

A novel approach to the simulation with the boundary element method using trimmed NURBS patches is presented. The advantage of this approach is its efficiency and easy implementation. The analysis with trimmed NURBS is achieved by double mapping. The variation of the unknowns on the boundary is specified in a local coordinate system and is completely independent of the description of the geometry. The method is tested on a branched tunnel and the results compared with those obtained from a conventional analysis. The conclusion is that the proposed approach is superior in terms of number of unknowns and effort required.

math.NA↗

arXiv2014

Isogeometric Boundary Element Method with Hierarchical Matrices

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.

math.NA↗