hp-adaptive two-level methods for boundary integral equations on curves
Norbert Heuer, Mario E. Mellado, Ernst P. Stephan
Computing 67 (4), 305-334, 2001.
We consider the p- and hp-versions of the Galerkin boundary element
method for hypersingular and weakly singular integral equations of the first
kind on curves. We derive a-posteriori error estimates that are based on
stable two-level decompositions of enriched ansatz spaces. The Galerkin errors
are estimated by inverting local projection operators that are defined on
small subspaces of the second level. A p-adaptive and two hp-adaptive
algorithms are defined and numerical experiments confirm their efficiency.