Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems

DOI10.1007/s00607-012-0276-yzbMath1314.76034OpenAlexW2021243537MaRDI QIDQ488320

Matthias Möller

Publication date: 26 January 2015

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-012-0276-y

zbMATH Keywords

hyperbolic problemshigh-resolution schemesflux-corrected transportconvection-dominated flowsnon-/conforming finite elements

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Complexity and performance of numerical algorithms (65Y20)

Related Items (1)

On an integration rule for products of barycentric coordinates over simplexes in \(\mathbb{R}^n\)

Uses Software

• ITPACK
• ITPACK 2C
• HONEI
• FEATFLOW

Cites Work

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• HONEI: A collection of libraries for numerical computations targeting multiple processor architectures
• Fully multidimensional flux-corrected transport algorithms for fluids
• Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes
• On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection
• On the design of algebraic flux correction schemes for quadratic finite elements
• Multilevel preconditioning of rotated bilinear non-conforming FEM problems
• Explicit and implicit FEM-FCT algorithms with flux linearization
• Computational algorithms for aerodynamic analysis and design
• Flux correction tools for finite elements
• High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter
• High-resolution FEM--FCT schemes for multidimensional conservation laws
• An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model
• Simple nonconforming quadrilateral Stokes element
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Robustness of an Elementwise Parallel Finite Element Method for Convection-Diffusion Problems
• P₁Nonconforming Finite Element Multigrid Method for Radiation Transport
• Multidimensional FEM-FCT schemes for arbitrary time stepping
• Flux-Corrected Transport
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• Iterative Procedures for Nonlinear Integral Equations

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