AN APPROXIMATE SOLUTION FOR A CLASS OF SECOND-ORDER ELLIPTIC VARIATIONAL INEQUALITIES IN ARBITRARY-FORM DOMAINS

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Abstract

Penalty and dummy-domain methods are used to approximate second-order elliptic variational inequalities with a restriction inside a domain by nonlinear boundary-value problems in a rectangle. Difference schemes, with the order of accuracy O(h1/2) in the grid norm W21(ω), are constructed for these problems.

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