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Fast Solution Methods
[chapter]
Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
The standard boundary element method applied to the time harmonic Helmholtz equation yields a numerical method with O(N 3 ) complexity when using a direct solution of the fully populated system of linear equations. Strategies to reduce this complexity are discussed in this paper. The O(N 3 ) complexity issuing from the direct solution is first reduced to O(N 2 ) by using iterative solvers. Krylov subspace methods as well as strategies of preconditioning are reviewed. Based on numerical examples
doi:10.1007/978-3-540-77448-8_13
fatcat:hbbsvwcy3zamxoyhml2mvlfram