High order \(C^0\)-continuous Galerkin schemes for high order PDEs, conservation of quadratic invariants and application to the Korteweg-de Vries model
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Publication:1703069
DOI10.1007/s10915-017-0455-2zbMath1398.65253OpenAlexW2617660179MaRDI QIDQ1703069
Richard Pasquetti, Sebastian Minjeaud
Publication date: 1 March 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0455-2
spectral element methodKdV equationIMEX schemeshigh order derivative approximationinvariants conservation
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Numerical finite-gap integration of the Zabusky–Kruskal problem, An unconditionally stable space-time FE method for the Korteweg-de Vries equation, New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
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