Optimal error analysis of the spectral element method for the 2D homogeneous wave equation

DOI10.1016/j.camwa.2022.05.038OpenAlexW4283785404MaRDI QIDQ2159880

Marc Laforest, Régis Cottereau, Ziad Aldirany, Serge Prudhomme

Publication date: 2 August 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.05.038

zbMATH Keywords

wave equationspectral element methoda priori error estimationleap-frog schemeGauss-Lobatto-Legendre quadrature

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Seismology (including tsunami modeling), earthquakes (86A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

Operator approximation of the wave equation based on deep learning of Green's function

Uses Software

• SPEED
• RegSEM

Cites Work

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