On the Application of Algebraic Flux Correction Schemes to Problems with Non-vanishing Right-Hand Side

DOI10.1007/978-3-319-25727-3_8zbMath1427.65367OpenAlexW2475704430MaRDI QIDQ5207411

Knobloch, Petr

Publication date: 20 December 2019

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25727-3_8

zbMATH Keywords

finite element discretizationdiscrete maximum principlefinite element spacespurious oscillationlayer region

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes

Cites Work

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• A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
• Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Improvements of the Mizukami-Hughes method for convection-diffusion equations
• Analysis of Algebraic Flux Correction Schemes
• Some analytical results for an algebraic flux correction scheme for a steady convection–diffusion equation in one dimension

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