A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation

JOURNAL OF COMPUTATIONAL PHYSICS

卷:330

Article

Barucq, H.^1,2  Bendali, A.^3,4  Fares, M.³  Mattesi, V.^1,2,3  Tordeux, S.^1,2,3 

[1] INRIA Bordeaux Sud Ouest Mag 3D Team, Pau, France

[2] Univ Pau, Pau, France

[3] CERFACS Algo Team, Toulouse, France

[4] Univ Toulouse, Math Inst Toulouse, INSA, Toulouse, France

关键词: Helmholtz equation;    Pollution effect;    Dispersion;    Trefftz method;    Discontinuous Galerkin method;    Boundary element method;   

DOI  :  10.1016/j.jcp.2016.09.062

来源: Elsevier

【 摘 要 】

A general symmetric Trefftz Discontinuous Galerkin method is built for solving the Helmholtz equation with piecewise constant coefficients. The construction of the corresponding local solutions to the Helmholtz equation is based on a boundary element method. A series of numerical experiments displays an excellent stability of the method relatively to the penalty parameters, and more importantly its outstanding ability to reduce the instabilities known as the pollution effect in the literature on numerical simulations of long-range wave propagation. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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