Wavelet Solutions for the Dirichlet Problem
نویسندگان
چکیده
A modiied classical penalty method for solving a Dirichlet boundary value problem is presented. This new ctitious domain/penalty method eliminates the traditional need of generating a complex computation grid in the case of irregular domain. It is based on the fact that one can expand the boundary measure under the chosen basis which leads to a fast, approximate calculation of boundary integral. The compact support and orthonormality of the basis are essential for representing the boundary measure numerically, and therefore for implementing this methodology.
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