The Dirichlet problem for the Laplace equation in supershaped annuli

被引：0
作者：
Diego Caratelli
Johan Gielis
Ilia Tavkhelidze
Paolo E Ricci
机构：
[1] Delft University of Technology,Microwave Sensing, Signals and Systems
[2] University of Antwerp,Department of Bioscience Engineering
[3] Tbilisi State University,Faculty of Exact and Natural Sciences
[4] Campus Bio-Medico University,Faculty of Engineering
来源：
Boundary Value Problems | / 2013卷
关键词：
Dirichlet Problem; Laplace Equation; Computer Algebra System; Annular Domain; Circular Annulus;
D O I：
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学科分类号：
摘要：
The Dirichlet problem for the Laplace equation in normal-polar annuli is addressed by using a suitable Fourier-like technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by the so-called ‘superformula’ introduced by Gielis. A dedicated numerical procedure based on the computer algebra system Mathematica© is developed in order to validate the proposed methodology. In this way, highly accurate approximations of the solution, featuring properties similar to the classical ones, are obtained.
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Caratelli D(undefined)On convergence and growth of partial sums of Fourier series undefined undefined undefined-undefined
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Gielis J(undefined)undefined undefined undefined undefined-undefined
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