Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
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Publication:3091800
DOI10.1137/090761057zbMath1229.65215OpenAlexW2077458918MaRDI QIDQ3091800
Ilaria Perugia, Andrea Moiola, Ralf Hiptmair
Publication date: 14 September 2011
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/090761057
convergenceerror estimateswave propagationnumerical examplesdiscontinuous Galerkin methodHelmholtz equationTrefftz functionsduality estimates\(p\)-version analysis
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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