Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems

DOI10.1007/s10915-007-9149-5zbMath1132.65084OpenAlexW2135086547WikidataQ60146786 ScholiaQ60146786MaRDI QIDQ2463436

Erik Burman, Benjamin Stamm

Publication date: 6 December 2007

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/109403

zbMATH Keywords

stabilityerror estimatesdiscontinuous Galerkin finite element methodinterior penaltyadvection-reaction equationlocal mass conservation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) 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 (9)

A simple finite element method for linear hyperbolic problems ⋮ Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations ⋮ Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes ⋮ Local projection stabilized finite element methods for advection-reaction problems ⋮ An \(L^p\)-primal-dual finite element method for first-order transport problems ⋮ A new upwind weak Galerkin finite element method for linear hyperbolic equations ⋮ A novel hybrid difference method for an elliptic equation ⋮ Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps ⋮ A primal-dual finite element method for first-order transport problems

Cites Work

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