Multilevel additive Schwarz method for the $h$-$p$ version of the Galerkin boundary element method
نویسندگان
چکیده
منابع مشابه
Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method
We study a multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method with geometrically graded meshes. Both hypersingular and weakly singular integral equations of the first kind are considered. As it is well known the h-p version with geometric meshes converges exponentially fast in the energy norm. However, the condition number of the Galerkin matrix in th...
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We study the multiplicative Schwarz method for the p-version Galerkin boundary element method for a hypersingular and a weakly singular integral equation of the rst kind and for the h-version for a hypersingular integral equation of the rst kind. We prove that the rate of convergence of the multiplicative Schwarz operator is strictly less than 1 for the h-version for both two level and multilev...
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Domain decomposition methods based on the Schwarz framework were originally proposed for the h-version nite element method for elliptic problems. In this paper, we consider instead the p-version, in which increased accuracy is achieved by increasing the degree of the elements while the mesh is xed. We consider linear, scalar, self adjoint, second order elliptic problems and quadrilateral elemen...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1998
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-98-00926-0