Equivalence between the Trefftz method and the method of fundamental solution for the annular Green ’ s function using the addition theorem and image concept

@inproceedings{Chen2009EquivalenceBT,
title={Equivalence between the Trefftz method and the method of fundamental solution for the annular Green ’ s function using the addition theorem and image concept},
author={Jeng-Tzong Chen and Ying-Te Lee and Shang-Ru Yu and Shiang-Chih Shieh},
year={2009}
}

In this paper, the Green’s function for the annular Laplace problem is first derived by using the image method which can be seen as a special case of method of fundamental solutions. Three cases, fixed–fixed, fixed–free and free–fixed boundary conditions are considered. Also, the Trefftz method is employed to derive the analytical solution by using T-complete sets. By employing the addition theorem, both solutions are found to be mathematically equivalent when the number of Trefftz base and the… CONTINUE READING