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Finite Element Method and Discontinuous Galerkin Method for Stochastic Scattering Problem of Helmholtz Type in ℝd (d = 2, 3)

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Abstract

In this paper, we address the finite element method and discontinuous Galerkin method for the stochastic scattering problem of Helmholtz type in ℝd (d = 2, 3). Convergence analysis and error estimates are presented for the numerical solutions. The effects of the noises on the accuracy of the approximations are illustrated. Results of the numerical experiments are provided to examine our theoretical results.

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Authors and Affiliations

  1. Department of Mathematics, Florida A&M, University, Tallahassee, FL, 32307, USA

    Yanzhao Cao

  2. Department of Mathematics, Jilin University, Changchun, Jilin, 130023, People’s Republic of China

    Ran Zhang & Kai Zhang

Authors
  1. Yanzhao Cao
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  2. Ran Zhang
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  3. Kai Zhang
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Corresponding author

Correspondence to Kai Zhang.

Additional information

The first author is supported by NSF under grand number 0609918 and AFOSR under grant numbers FA9550-06-1-0234 and FA9550-07-1-0154, the second author is supported by NSFC(10671082, 10626026, 10471054), and the third author is supported by NNSF (No. 10701039 of China) and 985 program of Jilin University.

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Cao, Y., Zhang, R. & Zhang, K. Finite Element Method and Discontinuous Galerkin Method for Stochastic Scattering Problem of Helmholtz Type in ℝd (d = 2, 3). Potential Anal 28, 301–319 (2008). https://doi.org/10.1007/s11118-008-9078-4

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  • DOI: https://doi.org/10.1007/s11118-008-9078-4

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