FESTUNG: a MATLAB/GNU octave toolbox for the discontinuous Galerkin method. II: Advection operator and slope limiting

DOI10.1016/j.camwa.2016.08.006zbMath1361.65079arXiv1602.05754OpenAlexW2283320765MaRDI QIDQ521531

Balthasar Reuter, Vadym Aizinger, Manuel Wieland, Peter Knabner, Florian Frank

Publication date: 11 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05754

zbMATH Keywords

discontinuous Galerkin methodvectorizationlinear advection equationslope limitingopen sourceMatlab/GNU octave

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Packaged methods for numerical algorithms (65Y15) First-order hyperbolic equations (35L02)

Related Items

Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation ⋮ Hybridizable discontinuous Galerkin reduced order model for the variable coefficient advection equation ⋮ Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems ⋮ A discontinuous Galerkin method for the subjective surfaces problem ⋮ New directional vector limiters for discontinuous Galerkin methods ⋮ FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods ⋮ FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface ⋮ FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. III: Hybridized discontinuous Galerkin (HDG) formulation ⋮ Enriched Galerkin method for the shallow-water equations ⋮ A subcell-enriched Galerkin method for advection problems ⋮ Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem ⋮ FESTUNG ⋮ p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator

Uses Software

• Matlab
• Octave
• Kron
• GitHub

Cites Work

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