Информационная система "Конференции"

Abstracts

Computational Algebra

Let $D, G, Omegasubset {bf R}^2$ be bounded Lipshitz domains, $D=GcupOmega$. Consider the following Dirichlet boundary value problem: $$ mbox{div},(Knabla u) = f ;;mbox{in};;D, quad u = 0 ;;mbox{on} ;;partial D $$ where $$ K(x) = A(x)(1+omega(x)),;; A(x) = left(begin{array}{cc} a(x) &0 0 &gamma a(x) end{array}right), ;; omega(x) = left{begin{array}{l} 1, quad xin G omega, quad xinOmega end{array}right. $$ here $gamma,omegagg 1$ are large parameters. For solving this problem an effective iterative algorithm is suggested. The convergence rate of the algorithm does not depend on both parameters $gamma$ and $omega$. Peculiarities of the finite element realization of the proposed method are discussed.

Note. Abstracts are published in author's edition

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