Numerical approximation of acoustic waves by spectral element methods

DOI10.1016/j.apnum.2007.04.008zbMath1139.76043OpenAlexW2035381216WikidataQ126264903 ScholiaQ126264903MaRDI QIDQ932757

Chuanju Xu, Zhijian Rong

Publication date: 11 July 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.04.008

zbMATH Keywords

stabilityconvergenceerror estimationnon-homogeneous boundary data

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Hydro- and aero-acoustics (76Q05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Optimal error analysis of the spectral element method for the 2D homogeneous wave equation ⋮ Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations ⋮ A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation ⋮ Error analysis of the spectral element method with Gauss-Lobatto-Legendre points for the acoustic wave equation in heterogeneous media ⋮ Numerical investigations of a partition-of-unity based ``FE-meshfre QUAD4 element with radial-polynomial basis functions for acoustic problems ⋮ A posteriori error estimates of \textit{hp} spectral element methods for integral state constrained elliptic optimal control problems

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