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- W2894929146 abstract "This paper is concerned with the Fourier-Bessel method for the boundary value problems of the Helmholtz equation in a smooth simply connected domain. Based on the denseness of Fourier-Bessel functions, the problem can be approximated by determining the unknown coefficients in the linear combination. By the boundary conditions, an operator equation can be obtained. We derive a lower bound for the smallest singular value of the operator, and obtain a stability and convergence result for the regularized solution with a suitable choice of the regularization parameter. Numerical experiments are also presented to show the effectiveness of the proposed method." @default.
- W2894929146 created "2018-10-12" @default.
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- W2894929146 date "2018-10-01" @default.
- W2894929146 modified "2023-09-25" @default.
- W2894929146 title "A Fourier-Bessel method with a regularization strategy for the boundary value problems of the Helmholtz equation" @default.
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- W2894929146 doi "https://doi.org/10.48550/arxiv.1810.01055" @default.
- W2894929146 hasPublicationYear "2018" @default.
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