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

DOI10.1016/j.jcp.2016.09.062zbMath1380.65360OpenAlexW2530061130MaRDI QIDQ1691796

M. Fares, Abderrahmane Bendali, Vanessa Mattesi, Sébastien Tordeux, Hélène Barucq

Publication date: 25 January 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.09.062

zbMATH Keywords

boundary element methoddispersiondiscontinuous Galerkin methodHelmholtz equationTrefftz methodpollution effect

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (11)

Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation ⋮ A Trefftz method with reconstruction of the normal derivative applied to elliptic equations ⋮ Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect? ⋮ A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems ⋮ Numerical solutions for the Helmholtz boundary value problems of anisotropic homogeneous media ⋮ Unnamed Item ⋮ A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations ⋮ Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering ⋮ Asymptotic behavior of acoustic waves scattered by very small obstacles ⋮ A Trefftz Discontinuous Galerkin method for time-harmonic waves with a generalized impedance boundary condition ⋮ A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes

Uses Software

• CUBPACK

Cites Work

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