A Mixed Discontinuous Galerkin Method for the Helmholtz Equation

Qingjie Hu, Yinnian He, Tingting Li and Jing Wen

Mathematical Problems in Engineering, 2020, vol. 2020, 1-9

Abstract:

In this paper, we introduce and analyze a mixed discontinuous Galerkin method for the Helmholtz equation. The mixed discontinuous Galerkin method is designed by using a discontinuous finite element pair for the flux variable and the scattered field with . We can get optimal order convergence for the flux variable in both - like norm and norm and the scattered field in norm numerically. Moreover, we conduct the numerical experiments on the Helmholtz equation with perturbation and the rectangular waveguide, which also demonstrate the good performance of the mixed discontinuous Galerkin method.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9582583

DOI: 10.1155/2020/9582583

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