Abstract
The new adaptive boundary element method (BEM) is developed in this paper by using the concept sample point error analysis. The analysis relies on estimation of the discretization error over each boundary element appearing in the boundary integral equation through the magnitude of inconsistency of intermediate solution except at the boundary nodes for the prescribed discretization. The extended error indicator is defined and employed for boundary mesh refinement. This paper deals with the h-adaptive scheme with some simple numerical examples associated with two dimensional Laplace equation.
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