Zeitschriftenartikel:
M. Feischl, M. Karkulik, J. Melenk, D. Praetorius:
"Quasi-optimal convergence rate for an adaptive boundary element method";
SIAM Journal on Numerical Analysis,
51
(2013),
2;
S. 1327
- 1348.
Kurzfassung englisch:
For the simple layer potential V
that is associated with the 3D Laplacian, we consider the weakly
singular integral equation V\phi=f.
This equation is discretized by the lowest order Galerkin boundary
element method.
We prove convergence of an h-adaptive algorithm that is driven by a
weighted residual error estimator. Moreover, we identify the
approximation class for which the adaptive algorithm converges
quasi-optimally with respect to the number of elements. In particular,
we prove that adaptive mesh refinement is superior to uniform mesh
refinement.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1137/110842569
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.