Adaptive Galerkin boundary element methods with panel clustering
The authors propose a boundary element method (BEM) for solving classical boundary integral equations on a surface that contains complicated geometric details and the data are given only up to some uncertainties. Typical applications are: the computation of the elastic behaviour of a plate or a body containing a large number of small cracks. The goal of the paper is to introduce the wire-basket boundary element method for the construction of the initial discretisation for such type of problems. The construction employs techniques such as mesh grading and variable polynomial degree vectors which are well known in the field of adaptive \(hp\)-BEM. The idea of the wire-basket BEM is the construction of the boundary element discretisation which contains only very few unknown and leads to a numerical solution which has accuracy with respect to the energy norm.
scientific article; zbMATH DE number 5131237