A FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients
نویسندگان
چکیده
Second order elliptic problems with discontinuous coefficients are considered. The problem is discretized by the finite element method on geometrically conforming non-matching triangulations across the interface using the mortar technique. The resulting discrete problem is solved by a FETI-DP method. We prove that the method is convergent and its rate of convergence is almost optimal and independent of the jumps of coefficients. Numerical experiments for the case of four subregions are reported. They confirm the theoretical results.
منابع مشابه
Parallel scalability of a FETI–DP mortar method for problems with discontinuous coefficients
We consider elliptic problems with discontinuous coefficients discretized by FEM on non-matching triangulations across the interface using the mortar technique. The resulting discrete problem is solved by a FETI–DP method using a preconditioner with special scaling described in Dokeva, Dryja and Proskurowski [to appear]. Experiments performed on hundreds of processors show that this FETI–DP mor...
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