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A Mixed Discontinuous Galerkin Method for the Helmholtz Equation

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Listed:
  • Qingjie Hu
  • Yinnian He
  • Tingting Li
  • Jing Wen

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.

Suggested Citation

  • Qingjie Hu & Yinnian He & Tingting Li & Jing Wen, 2020. "A Mixed Discontinuous Galerkin Method for the Helmholtz Equation," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, May.
    • Handle: RePEc:hin:jnlmpe:9582583
    DOI: 10.1155/2020/9582583
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