Open AccessLocal boundary integral equation method based on radial basis functions for potential problems
Author(s) -
Dai Bao-Dong,
Cheng Yu-Min
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.597
Subject(s) - radial basis function , basis function , integral equation , interpolation (computer graphics) , mathematical analysis , singular boundary method , boundary value problem , basis (linear algebra) , boundary (topology) , summation equation , mathematics , function (biology) , boundary element method , computer science , physics , geometry , finite element method , animation , computer graphics (images) , machine learning , artificial neural network , thermodynamics , evolutionary biology , biology
Combining the interpolation function, which has the delta function property and is constructed on the basis of radial basis functions and polynomial functions, using the local boundary integral equation method (LBIE), the local boundary integral equation method based on radial basis functions is presented for potential problem in this paper. The corresponding discrete equations are obtained. Comparing with the other meshless boundary integral equation methods, the present method has simpler numerical procedures, lower computation cost and higher accuracy. In addition, the essential boundary conditions can be implemented directly. Some numerical results to show the efficiency of the present method are given.