Extended isogeometric boundary element method (XIBEM) for acoustic wave scattering problems

Peake, M.J.; Trevelyan, J.; Coates, G.

Extended isogeometric boundary element method (XIBEM) for acoustic wave scattering problems

Peake, M.J.; Trevelyan, J.; Coates, G.

Authors

M.J. Peake

J. Trevelyan

G. Coates

Abstract

Isogeometric analysis is the concept of using the same functions that describe a geometry in computer-aided design to approximate unknown elds in numerical simulations. This has become a topic of considerable interest to the boundary integral methods community. This paper introduces an eXtended Isogeometric Boundary Element Method (XIBEM), in which isogeometric functions approximating wave potential are enriched using the partition-of-unity method. In this new method, the isogeometric basis is formed from a space of non-uniform rational B-spline (NURBS) functions multiplied by families of plane waves. Using numerical examples, it is shown that this reduces the total number of equations that need to be solved for a given frequency and geometry of problem; this improves the accuracy of and extends the supported frequency range of the boundary element method to include short wave diraction problems.

Citation

Peake, M., Trevelyan, J., & Coates, G. (2013). Extended isogeometric boundary element method (XIBEM) for acoustic wave scattering problems.

Conference Name	9th UK Conference on Boundary Integral Methods
Conference Location	Aberdeen, UK
Start Date	Jul 8, 2013
End Date	Jul 9, 2013
Publication Date	Jan 1, 2013
Deposit Date	Jan 5, 2016
Publicly Available Date	Jan 30, 2016
Publisher URL	http://www.amazon.co.uk/9th-Conference-Boundary-Integral-Methods/dp/0902604791