First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System
Author:
Funder
National Science Foundation
Air Force Office of Scientific Research
Army Research Office
European Union
Spanish MCIN/AEI
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s10915-024-02592-4.pdf
Reference36 articles.
1. Clayton, B., Guermond, J.-L., Popov, B.: Upper bound on the maximum wave speed in Riemann problems for the Euler equations with tabulated equation of state (2021). https://doi.org/10.5281/zenodo.4685868
2. Dafermos, C.M.: Polygonal approximations of solutions of the initial value problem for a conservation law. J. Math. Anal. Appl. 38, 33–41 (1972)
3. Guermond, J.-L., Popov, B.: Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. J. Comput. Phys. 321, 908–926 (2016)
4. Guermond, J.-L., Popov, B.: Invariant domains and first-order continuous finite element approximation for hyperbolic systems. SIAM J. Numer. Anal. 54(4), 2466–2489 (2016)
5. Guermond, J.-L., Popov, B.: Invariant domains and second-order continuous finite element approximation for scalar conservation equations. SIAM J. Numer. Anal. 55(6), 3120–3146 (2017)
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