We consider the retarded potential boundary integral equation, arising from the 3D Dirichlet exterior wave equation problem. For its numerical solution we use compactly supported temporal basis functions in time and a standard collocation method in space. Since the accurate computation of the integrals involved in the numerical scheme is a key issue for the numerical stability, we propose a new efficient and competitive quadrature strategy. We compare this approach with the one that uses the Lubich time convolution quadrature, and show pros and cons of both methods.
|Titolo:||A new boundary element integration strategy for retarded potential boundary integral equations|
|Data di pubblicazione:||2015|
|Digital Object Identifier (DOI):||10.1016/j.apnum.2015.03.009|
|Appare nelle tipologie:||1.1 Articolo in rivista|