Adaptive hierarchical boundary elements

A residual definition of error indicators and estimators is used. A p-and a h-implementation of an adaptive hierarchical boundary element method is presented.

The direct version of boundary elements based on the collocation method is reviewed and the way in which the residual boundary function is obtained is presented. The hierarchical definition of the interpolation and its advantages are discussed. Numerical interpolation to compute error estimators and indicators is established and its non-dimensionality is defined.