Isogeometric Fast Multipole Boundary Element Method Based on Burton-Miller Formulation for 3D Acoustic Problems

An isogeometric boundary element method is applied to simulate wave scattering problems governed by the Helmholtz equation. The NURBS (non-uniform rational B-splines) widely used in CAD (computer aided design) field represent geometric model and approximate physical variables. Burton-Miller formulation overcome fictitious frequency problem when using a single integral equation for exterior boundary-value problems. singular integrals existing are evaluated directly accurately Hadamard’s finite part integration. Fast multipole accelerate solution of system equations. It demonstrated that based on performs better than conventional approach Lagrange basis functions terms accuracy, use fast both retains accuracy reduces computational cost.