Artificial boundary conditions for elliptic systems on polyhedral truncation surfaces |
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| Authors: | S A Nazarov M Specovius-Neugebauer |
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| Institution: | 1. Institute of Problems of Mechanical Engineering, Vasil’evskii Ostrov, Bol’shoi pr. 61, St. Petersburg, 199178, Russia
2. Universit?t-GH Kassel, 40 Heinrich-Plett-Str, D-34132, Kassel, Germany
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| Abstract: | For a sufficiently broad class of formally selfadjoint boundary value problems in the domains with conical outlets to infinity, including exterior boundary value problems, we suggest an algorithm for constructing some artificial boundary conditions on polyhedral truncation surfaces that guarantees higher precision of approximation as the infinite domain is replaced with a large but bounded domain. The errors are estimated. Anisotropic 3-dimensional elasticity problems are discussed as an example. |
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