On an optimal finite element scheme for the advection equation

DOI10.1016/j.cam.2016.08.029zbMath1382.65312OpenAlexW2514850036MaRDI QIDQ730578

Argus A. Dunca

Publication date: 28 December 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.2016.08.029

zbMATH Keywords

finite element methodsadvection equationdifferential filters

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

The gradient discretisation method for linear advection problems

Uses Software

• FreeFem++

Cites Work

• Stabilized approximation to degenerate transport equations via filtering
• Approximating local averages of fluid velocities: the equilibrium Navier-Stokes equations
• Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis.
• On the Vreman filter based stabilization for the advection equation
• On the accuracy of the finite element method plus time relaxation
• Differential filters of elliptic type
• Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems
• CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE
• New development in freefem++
• FINITE ELEMENT ERROR ANALYSIS OF SPACE AVERAGED FLOW FIELDS DEFINED BY A DIFFERENTIAL FILTER
• The Mathematical Theory of Finite Element Methods
• Galerkin Methods for First Order Hyperbolics: An Example