Spherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shellSpherical harmonic solution of the Robin problem for the Helmholtz equation in a supershaped shell
Faculty of Sciences. Bioscience Engineering

Environmental Ecology & Microbiology (ENdEMIC)

article

2013Irvine, CA :Scientific Research Publishing, Inc, 2013

Mathematics

Biology

Engineering sciences. Technology

Applied mathematics. - Irvine, CA, 2009, currens

4(2013):1A, p. 263-270

2152-7385

E

English (eng)

University of Antwerp

The Robin problem for the Helmholtz equation in normal-polar shells is addressed by using a suitable spherical harmonic expansion technique. Attention is in particular focused on the wide class of domains whose boundaries are defined by a generalized version of 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.

https://repository.uantwerpen.be/docman/irua/6e877f/f4054f85.pdf