An hp-adaptive refinement strategy for hypersingular operators
on surfaces
Norbert Heuer
Numer. Methods Partial Differential Eq. 18 (3), 396-419, 2002.
An adaptive refinement strategy for the hp-version of the boundary
element method with hypersingular operators on surfaces is presented.
The error indicators are based on local projections provided by
two-level decompositions of ansatz spaces with additional bubble
functions. Assuming a saturation property and locally quasi-uniform meshes,
efficiency and reliability of the resulting error estimator is proved.
A second error estimator based on mesh refinement and overlapping
decompositions that better fulfills the saturation property is presented.
The performance of the algorithm and the estimators is demonstrated
for a model problem.