Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media

Author:

Yeung Tak Shing AuORCID,Cheung Ka Chun,Chung Eric T.,Fu Shubin,Qian Jianliang

Funder

National Science Foundation

Research Grants Council, University Grants Committee

Faculty of Science, Chinese University of Hong Kong

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference39 articles.

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2. The short wave asymptotic form of the solution for the problem of a point source in an inhomogeneous medium;Babich;USSR Comput. Math. Math. Phys.,1965

3. A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution;Babuška;Comput. Methods Appl. Mech. Eng.,1995

4. Is the pollution effect of the fem avoidable for the Helmholtz equation considering high wave numbers?;Babuška;SIAM J. Numer. Anal.,1997

5. Numerical microlocal analysis of 2-D noisy harmonic plane and circular waves;Benamou;Asymptot. Anal.,2013

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