Publication
Title
Fourier-like solution of the Dirichlet problem for the Laplace Equation in k-type Gielis domains
Author
Abstract
The interior and exterior Dirichlet problems for the Laplace equation in k-type Gielis domains are analytically addressed by using a suitable Fourier-like technique. A dedicated numerical procedure based on the computer-aided algebra tool Mathematica© is developed in order to validate the proposed approach. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained. Computed results are found to be in good agreement with theoretical findings on Fourier series expansion presented by Carleson.
Language
English
Source (journal)
Journal of pure and applied mathematics : advances and applications
Publication
2011
Volume/pages
5:2(2011), p. 99-111
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Record
Identification
Creation 07.09.2011
Last edited 04.09.2013
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