PT - JOURNAL ARTICLE AU - Tkacova, Slavka TI - The Eigenvalue Approximations of the Laplace Operator Defined on a Domain with Strongly Deformed Boundary DP - 2004 Mar 31 TA - Communications - Scientific Letters of the University of Zilina PG - 68--71 VI - 6 IP - 1 AID - 10.26552/com.C.2004.1.68-71 IS - 13354205 AB - 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.