A Wire Basket Based Method for Spectral Elements in Three Dimensions
نویسنده
چکیده
A two-level iterative substructuring algorithm with a wire basket based coarse space is proposed and analyzed. The three dimensional model problem is scalar, elliptic, with discontinuous coeecients, and is discretized by conforming spectral elements. The condition number of the resulting iteration operator is bounded by C (1 + log p) 2 , where the constant is independent of the number of elements, their diameters, their degree p; and the size of the jumps across element boundaries of the coeecients of the elliptic operator. The results of this paper have been obtained jointly with Olof B. Widlund.
منابع مشابه
Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow
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