Sonderforschungsbereich 393 Parallele Numerische Simulation für Physik und Kontinuumsmechanik
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چکیده
The boundary concentrated finite element method is a variant of the hp-version of the finite element method that is particularly suited for the numerical treatment of elliptic boundary value problems with smooth coefficients and low regularity boundary conditions. For this method we present two multilevel preconditioners that lead to preconditioned stiffness matrices with condition numbers that are bounded uniformly in the problem size N . The cost of applying the preconditioners is O(N). Numerical examples illustrate the efficiency of the algorithms.
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Sonderforschungsbereich 393 Parallele Numerische Simulation für Physik und Kontinuumsmechanik
SFB393/05-01 January 2005 Abstract The Laplace-Beltrami operator corresponds to the Laplace operator on curved surfaces. In this paper, we consider an eigenvalue problem for the Laplace-Beltrami operator on subdomains of the unit sphere in R. We develop a residual a posteriori error estimator for the eigenpairs and derive a reliable estimate for the eigenvalues. A global parametrization of the ...
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تاریخ انتشار 2004