A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics

DOI10.1016/j.cam.2017.06.011zbMath1372.65309arXiv1611.07337OpenAlexW2552288396MaRDI QIDQ2402396

Shelvean Kapita, Peter B. Monk

Publication date: 7 September 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07337

zbMATH Keywords

acoustic scatteringerror estimateHelmholtz equationartificial boundaryDirichlet-to-Neumann mapnumerical resultplane wave discontinuous Galerkin method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory ⋮ A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains ⋮ Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation ⋮ A Trefftz Discontinuous Galerkin method for time-harmonic waves with a generalized impedance boundary condition ⋮ Unnamed Item

Uses Software

• DLMF
• LehrFEM

Cites Work

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• Residual-Based Adaptivity and PWDG Methods for the Helmholtz Equation
• Inverse acoustic and electromagnetic scattering theory
• The discontinuous enrichment method

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