r- and hr-adaptive boundary element method for two-dimensional potential problem

This paper presents r- and hr-adaptive schemes for boundary element method. The error analysis is carried out by the sample point error estimation scheme. Then, the error indicator is defined by the product of the computational error and the fundamental solution. Mesh refinement is carried out so that the error indicator distributes uniformly over the whole boundary. The present schemes are applied to the two-dimensional potential problem in order to confirm its validity.