On the application of the method of fundamental solutions to boundary value problems with jump discontinuities
作者：
Highlights：
• Applying a subtraction of singularity technique to circumvent MFS approximation problems (Gibbs phenomena) to discontinuous boundary data.
• Application of this technique to improve the MFS for other type of non regular data.
• Enrich the MFS approximation basis with crack singular functions, as an alternative technique.
• Application of both techniques to non trivial 2D geometries, for the Laplace equation.
• Excellent numerical results, with a practical advantage using the enrichment technique.
摘要
•Applying a subtraction of singularity technique to circumvent MFS approximation problems (Gibbs phenomena) to discontinuous boundary data.•Application of this technique to improve the MFS for other type of non regular data.•Enrich the MFS approximation basis with crack singular functions, as an alternative technique.•Application of both techniques to non trivial 2D geometries, for the Laplace equation.•Excellent numerical results, with a practical advantage using the enrichment technique.
论文关键词：Harmonic boundary value problems,Singular boundary conditions,Meshfree method,Method of fundamental solutions,Enrichment technique
论文评审过程：Received 26 January 2017, Revised 8 September 2017, Accepted 11 September 2017, Available online 3 October 2017, Version of Record 3 October 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.09.018
