Some Observations on the TLM Numerical Solution of the Laplace Equation |
| |
Authors: | D de Cogan X Gui M Rak |
| |
Institution: | 1. School of Computing Sciences, University of East Anglia, Norwich, NR4 7TJ, UK 2. NXT Energy Solutions Inc., Suite 1400, 505-3rd Street SW, Calgary, Alberta, T2P 3E6, Canada 3. Institute of Physics, Technical University of ?ód?, ul. Wolczanska 219, PL-93-005, ?ód?, Poland
|
| |
Abstract: | This paper describes progress on the TLM modelling of the Laplace equation, in particular, how the rate of convergence is
influenced by the choice of scattering parameter for a particular discretisation. The hypothesis that optimum convergence
is achieved when the real and imaginary parts for the lowest harmonic in a Fourier solution cancel appears to be upheld. The
Fourier solution for the problem has been advanced by a better understanding of the nature of the initial excitation. The
relationship between the form of the initial condition used in this and many other numerical solutions of the Laplace equation
and oscillatory behavior in the results is given a firmer theoretical basis. A correlation between TLM numerical results and
those obtained from matrix spectral radius calculations has confirmed much previous work. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|