Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations-Reference-Cited by-同舟云学术

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Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations

Published:2017-01 Issue:6 Volume:55 Page:3120-3146
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Guermond Jean-Luc,Popov Bojan

Funder

Air Force Office of Scientific Research

Army Research Office

National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/16M1106560

Reference37 articles.

1. Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes

2. Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works

3. Kruzkov’s estimates for scalar conservation laws revisited

4. On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws

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1. Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws;SIAM Journal on Scientific Computing;2024-09-10

2. Asymptotic and Invariant-Domain Preserving Schemes for Scalar Conservation Equations with Stiff Source Terms and Multiple Equilibrium Points;Journal of Scientific Computing;2024-08-02

3. First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System;Journal of Scientific Computing;2024-06-27

4. On Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws;SIAM Journal on Numerical Analysis;2024-03-11

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