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    Fast Boundary Knot Method for Solving Axisymmetric Helmholtz Problems with HighWave Number

    J. Lin1, W. Chen1,2, C. S. Chen3, X. R. Jiang4

    CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.6, pp. 485-505, 2013, DOI:10.3970/cmes.2013.094.485

    Abstract To alleviate the difficulty of dense matrices resulting from the boundary knot method, the concept of the circulant matrix has been introduced to solve axi-symmetric Helmholtz problems. By placing the collocation points in a circular form on the surface of the boundary, the resulting matrix of the BKM has the block structure of a circulant matrix, which can be decomposed into a series of smaller matrices and solved efficiently. In particular, for the Helmholtz equation with high wave number, a large number of collocation points is required to achieve desired accuracy. In this paper, we More >

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