An effective direct solution method for certain boundary element equations in 3D | Zendy

Meyer A. | Zendy; Rjasanow S. | Zendy

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An effective direct solution method for certain boundary element equations in 3D

Author(s) -

Meyer A.,

Rjasanow S.

Publication year - 1990

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670130105

Subject(s) - mathematics , boundary element method , arithmetic function , mathematical analysis , dirichlet boundary condition , boundary (topology) , fast fourier transform , domain (mathematical analysis) , block (permutation group theory) , matrix (chemical analysis) , geometry , finite element method , algorithm , physics , thermodynamics , materials science , composite material

The boundary element method for the Dirichlet problem in a three‐dimensional rotational domain leads to a system of linear equations with a full dense matrix having a special block structure. A direct solution method for such systems is presented, which requires O ( N 3/2 ln N ) arithmetical operations only, using a Fast Fourier Transformation (FFT), where N denotes the number of unknowns on the boundary surface.

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