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Analysis of the truncation errors in the fast multipole method for scattering problems. (English) Zbl 0973.65092
The authors provide new and computable error bounds for truncation errors, when the fast multipole method is used, in order to solve the discretized boundary integral equations corresponding to the scalar Helmholtz equation.

MSC:
65N15 Error bounds for boundary value problems involving PDEs
65N38 Boundary element methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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References:
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