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    A New Adaptive Algorithm for the Fast Multipole Boundary Element Method

    M. S. Bapat1, Y. J. Liu1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.58, No.2, pp. 161-184, 2010, DOI:10.3970/cmes.2010.058.161

    Abstract A new definition of the interaction list in the fast multipole method (FMM) is introduced in this paper, which can reduce the moment-to-local (M2L) translations by about 30-40% and therefore improve the efficiency for the FMM. In addition, an adaptive tree structure is investigated, which is potentially more efficient than the oct-tree structure for thin and slender domains as in the case of micro-electro-mechanical systems (MEMS). A combination of the modified interaction list (termed L2 modification in the adaptive fast multipole BEM) and the adaptive tree structure in the fast multipole BEM has been implemented for both 3-D potential and… More >

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