Contributions to Books:

S. Ferraz-Leite, D. Praetorius:
"Adaptive boundary element methods based on accurate a posteriori error estimation";
in: "ASC Report 23/2008", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2008, ISBN: 978-3-902627-01-8.

English abstract:
The boundary element method is one strategy to solve partial
differential equations of elliptic type. As model problem, we consider
the computation of the charge density \phi and the capacitance C of a
thin electrified plate. We introduce an intelligent algorithm based on
certain error estimators. The mesh-refinement is steered automatically
in the sense that the mesh is locally refined, where the error
appears to be large. Numerical experiments show that the new method
reveals the optimal order of convergence and is therefore
significantly faster than a standard uniform approach. All
mathematical results are valid in a quite general framework and thus
apply to a large problem class, including, e.g., the Laplace problem,
the Stokes system, and the Lame equation.

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.