Stabilized Galerkin for transient advection of differential forms

DOI10.3934/dcdss.2016.9.185zbMath1334.65148OpenAlexW2289245605MaRDI QIDQ258717

Cecilia Pagliantini, Holger Heumann, Ralf Hiptmair

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016.9.185

zbMATH Keywords

convergencefinite elementmethod of linesnumerical experimentLie derivativediscrete differential formsadvection velocityexplicit Runge Kutta timesteppingstabilized Galerkin

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) First-order hyperbolic equations (35L02)

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