A discrete commutator theory for the consistency and phase error analysis of semi-discrete \(C^0\) finite element approximations to the linear transport equation

DOI10.1016/j.cam.2016.02.042zbMath1382.65329OpenAlexW2325306716MaRDI QIDQ269390

Travis Thompson

Publication date: 18 April 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.042

zbMATH Keywords

finite elementssuperconvergencetransport equationdispersion errorconsistency errormass lumping

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)

Related Items (8)

Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge--Kutta Schemes ⋮ Well-Balanced Second-Order Finite Element Approximation of the Shallow Water Equations with Friction ⋮ Analysis of algebraic flux correction schemes for semi-discrete advection problems ⋮ Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state ⋮ Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations ⋮ Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting ⋮ A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems ⋮ An conservative anti-diffusion technique for the level set method

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