Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 330, Issue -, Pages 83-101Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2017.10.020
Keywords
BEM; IGA; FMM; B-splines; Helmholtz problem; Laplace problem
Funding
- Swiss National Science Foundation (SNSF)
- DFG [SCHO1562/3-1, KU1553/4-1]
- Excellence Initiative of the German Federal and State Governments
- Graduate School of Computational Engineering at TU Darmstadt
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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 one can indeed achieve extremely high rates of convergence of the pointwise potential through the utilisation of higher order B-spline-based ansatz functions (C) 2017 Elsevier B.V. All rights reserved.
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