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    Potential Problems by Singular Boundary Method Satisfying Moment Condition

    Wen Chen1,2, Zhuojia Fu1, Xing Wei1

    CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.1, pp. 65-86, 2009, DOI:10.3970/cmes.2009.054.065

    Abstract This study investigates the singular boundary method (SBM), a novel boundary-type meshless method, in the numerical solution of potential problems. Our finding is that the SBM can not obtain the correct solution in some tested cases, in particular, in the cases whose solution includes a constant term. To remedy this drawback, this paper presents an improved SBM formulation which is a linear sum of the fundamental solution adding in a constant term. It is stressed that this SBM approximation with the additional constant term has to satisfy the so-called moment condition in order to guarantees the uniqueness of the solution.… More >

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