Kue-Hong Chen1, *, Cheng-Tsung Chen2, 3
CMC-Computers, Materials & Continua, Vol.64, No.1, pp. 145-160, 2020, DOI:10.32604/cmc.2020.08864
Abstract In this study, we applied a defined auxiliary problem in a novel error
estimation technique to estimate the numerical error in the method of fundamental
solutions (MFS) for solving the Helmholtz equation. The defined auxiliary problem is
substituted for the real problem, and its analytical solution is generated using the
complementary solution set of the governing equation. By solving the auxiliary problem
and comparing the solution with the quasianalytical solution, an error curve of the MFS
versus the source location parameters can be obtained. Thus, the optimal location
parameter can be identified. The convergent numerical solution can be obtained and… More >
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