A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form
DOI10.1137/21M1432922zbMath1492.65280arXiv2107.05770OpenAlexW3178702969MaRDI QIDQ5088629
Kenny Wiratama, Kenneth Duru, Si Yang Wang
Publication date: 13 July 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05770
stabilityspectral element methodEinstein's equationsshifted wave equationconstraint preservingsecond order hyperbolic PDE
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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