Optimization-based limiters for the spectral element method

DOI10.1016/j.jcp.2014.02.029zbMath1349.65516OpenAlexW2079424054MaRDI QIDQ349022

Amik St-Cyr, Mark A. Taylor, Oksana Guba

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.02.029

zbMATH Keywords

monotonefinite element methodlimitersspectral element methodhigh orderlocal extrema diminishingmimetic

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (11)

A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions ⋮ A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations ⋮ Embedded discontinuous Galerkin transport schemes with localised limiters ⋮ Two conservative multi-tracer efficient semi-Lagrangian schemes for multiple processor systems integrated in a spectral element (climate) dynamical core ⋮ A center compact scheme for the shallow water equations on the sphere ⋮ Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to algebraic flux correction ⋮ Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation ⋮ A Holistic Algorithmic Approach to Improving Accuracy, Robustness, and Computational Efficiency for Atmospheric Dynamics ⋮ A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions ⋮ Communication-Efficient Property Preservation in Tracer Transport ⋮ A spectral element Crank-Nicolson model to the 2D unsteady conduction-convection problems about vorticity and stream functions

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