Communications - Scientific Letters of the University of Zilina 2004, 6(1):68-71 | DOI: 10.26552/com.C.2004.1.68-71

The Eigenvalue Approximations of the Laplace Operator Defined on a Domain with Strongly Deformed Boundary

Slavka Tkacova1
1 Department of Mathematic Analysis and Applied Mathematics, Faculty of Science, University of Zilina, Slovak Republic

In this paper the eigenvalue approximations of the Laplace operator defined on a domain with strongly deformed boundary are presented. Because the exact eigenfunctions exhibit complicated behaviour in the vicinity of singular points of the used conformal mapping, the B-spline trial functions are used in order to improve the quality of the eigenfunction approximations near the singular points.

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Published: March 31, 2004  Show citation

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Tkacova, S. (2004). The Eigenvalue Approximations of the Laplace Operator Defined on a Domain with Strongly Deformed Boundary. Communications - Scientific Letters of the University of Zilina, 6(1), 68-71. doi: 10.26552/com.C.2004.1.68-71
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