Efficient Algorithms for the p-Version of the Boundary Element Method
Norbert Heuer
J. Integral Equations Appl., 8 (3), 337-361, 1996.
Abstract
We investigate the p-version of the boundary element Galerkin method
for a first kind integral equation. We present a-priori driven
algorithms which yield sparse Galerkin matrices and do not destroy
the convergence properties of the boundary element method.
Further, we show that the additive Schwarz method is nearly an optimal
preconditioner for the Galerkin systems. Numerical results confirm
the efficiency of our methods.