A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems

作者：Dolz Jurgen; Harbrecht Helmut; Kurz Stefan; Schoeps Sebastian; Wolf Felix^*

来源：Computer Methods in Applied Mechanics and Engineering, 2018, 330: 83-101.

DOI：10.1016/j.cma.2017.10.020

• BEM
• IGA
• FMM
• B-splines
• Helmholtz problem
• Laplace problem

We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compression and reduction of computational complexity, to counteract the problems arising due to the dense matrices produced by boundary element methods. By solving Laplace and Helmholtz problems via a single layer approach we show, through a series of numerical examples suitable for easy comparison with other numerical schemes, that o

• 出版日期2018-3-1