An extended isogeometric boundary element method for two-dimensional wave scattering problems

Peake, MJ; Trevelyan, J; Coates, G; Osman, A.S.; Coombs, W.M.; Koziara, T.

Abstract

Isogeometric analysis, using the same basis functions that describe a geometry in CAD software to approximate unknown fields in numerical simulations, is a topic of considerable interest. Until recently, much of the research in this field has concentrated on using this approach for finite element analysis (FEA); however, now, there is an increased focus on boundary integral methods. In contrast to FEA, the boundary element method (BEM) requires only the bounding surfaces of a domain to be meshed. Non-uniform, rational basis splines (NURBS), used commonly in CAD software, describe only the boundary of geometries; hence, NURBS would appear to be a natural tool for the BEM and isogeometric analysis. The partition of unity method has provided significant benefits over conventional, piecewise boundary element methods; here, a partition-of-unity extended, isogeometric BEM is presented and numerical results of an acoustic wave scattering problem given.

Citation

Peake, M., Trevelyan, J., Coates, G., Osman, A., Coombs, W., & Koziara, T. (2013, March). An extended isogeometric boundary element method for two-dimensional wave scattering problems. Presented at International Conference on Computational Mechanics : CM13, Durham, UK

• Presentation Conference Type: Conference Paper (published)
• Conference Name: International Conference on Computational Mechanics : CM13
• Start Date: Mar 25, 2013
• End Date: Mar 27, 2013
• Publication Date: Mar 1, 2013
• Deposit Date: Feb 22, 2013
• Publicly Available Date: Jan 28, 2016
• Keywords: Isogeometric analysis, Boundary element method, Partition of unity, NURBS
• Public URL: https://durham-repository.worktribe.com/output/1157459
• Publisher URL: https://www.dur.ac.uk/whatson/event/?eventno=14706