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《工程与科学中的计算机建模（英文）》
>Performance of Compact Radial Basis Functions in the Direct Interpolation Boundary Element Method for Solving Potential Problems
Performance of Compact Radial Basis Functions in the Direct Interpolation Boundary Element Method for Solving Potential Problems
This study evaluates the effectiveness of a new technique that transforms doma in integrals into boundary integrals that is applicable to the boundary element method.Si mulations were conducted in which two-dimensional surfaces were approximated by inter polation using radial basis functions with full and compact supports.Examples involving Poisson’s equation are presented using the boundary element method and the proposed te chnique with compact radial basis functions.The advantages and the disadvantages are e xamined through simulations.The effects of internal poles,the boundary mesh refinemen t and the value for the support of the radial basis functions on performance are assessed.
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