The Eigenvalue Approximations of the Laplace Operator Defined on a Domain with Strongly Deformed Boundary
The Eigenvalue Approximations of the Laplace Operator Defined on a Domain with Strongly Deformed Boundary
Author(s): Slávka TkáčováSubject(s): Methodology and research technology
Published by: Žilinská univerzita v Žilině
Keywords: Eigenvalue Approximations; Laplace Operator; Strongly Deformed Boundary;
Summary/Abstract: 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.
Journal: Komunikácie - vedecké listy Žilinskej univerzity v Žiline
- Issue Year: 6/2004
- Issue No: 1
- Page Range: 68-71
- Page Count: 4
- Language: English
