Finite volume method for solving the stochastic Helmholtz equation

Author:

Xu RuiminORCID,Wu Tingting

Funder

a project of Shandong Province Higher Educational Science and Technology Program of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference27 articles.

1. Allen, E.J., Novosel, S.J., Zhang, Z.: Finite element and difference approximation of some linear stochastic partial differential equations. Stoch. Stoch. Rep. 64, 117–142 (1998)

2. Babuška, I., Ihlenburg, F., Paik, E.T., Sauter, S.A.: A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution. Comput. Methods Appl. Math. 128, 325–359 (1995)

3. Babuška, I., Sauter, S.A.: Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? SIAM Rev. 42, 451–484 (2000)

4. Bao, G., Chen, C., Li, P.: Inverse random source scattering problems in several dimensions. SIAM/ASA J. Uncertain. Quantificat. 4, 1263–1287 (2016)

5. Bao, G., Chow, S.-N., Li, P., Zhou, H.: Numerical solution of an inverse medium scattering problem with a stochastic source. Inverse Probl. 26, 074014 (2010)

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