Fourier Analyses of High-Order Continuous and Discontinuous Galerkin Methods

DOI10.1137/19M1289595zbMath1448.65166OpenAlexW3036026662MaRDI QIDQ3303716

Daniel Y. Le Roux, Mark A. Taylor, Christopher Eldred

Publication date: 4 August 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1289595

zbMATH Keywords

finite element methoddiscontinuous Galerkin methodnumerical dispersioncomputational modesdispersion analysiserratic numerical modes

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Surface waves in solid mechanics (74J15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for discrete and fast Fourier transforms (65T50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Initial-boundary value problems for first-order hyperbolic systems (35L50) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Fourier analysis of the local discontinuous Galerkin method for the linearized KdV equation ⋮ An extended range of stable flux reconstruction schemes on quadrilaterals for various polynomial bases ⋮ Spectral/hp element methods' linear mechanism of (apparent) energy transfer in Fourier space: insights into dispersion analysis for implicit LES

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