Some studies on PUBEM for wave scattering problems involving smooth scatterers

 

We have known for ten years now that, in BEM simulations of wave scattering, expanding the potential in terms of a family of plane waves can give highly accurate solutions on coarse meshes. This presentation includes a description of some enhancements to the method and other observations. These include the use of trigonometric shape functions to replace the traditional piecewise polynomials. Here the extra smoothness gives a reduction in error, most noticeable at element ends. Also included are some results that show CHIEF to outperform Burton-Miller when analysing scattering from smooth objects using the collocation approach. Finally, some results are shown for isogeometric formulations, leading to the eXtended Isogeometric BEM.