Einladung zu einem Vortrag von:
Prof. Dr. Ernst P. STEPHAN
(Universität Hannover)
Dienstag, 4. Dezember 2001,
15:30 Uhr, T 811
hp Preconditioners and Adaptive Schemes for Boundary Integral Equations
Galerkin boundary element solutions for first kind integral equations
with the hp-version on geometrically refined meshes converge exponentially
fast. However this method leads to ill-conditioned matrices and suitable
preconditioners are necessary. In this talk we present (almost) optimal
additive and multiplicative Schwarz preconditioners for the conjugate gradient
method. We give results for weakly singular and hypersingular integral equa-
tients on curves and surfaces. The analysis is based on stable subspace
splittings of the ansatz spaces of piecewise linear functions and tensor
products of Legendre polynomials. We further present a-posteriori error
estimates and adaptive algorithms based on suitable 2-level subspace splittings.
Numerical experiments for benchmarks are also given.
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