Adaptive Finite Element Relaxation Schemes for Hyperbolic Conservation Laws
ESAIM: M2AN, 35 1 (2001) 17-33
Published online: 2002-04-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Behavior of Finite Volume Schemes for Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids
Ch. Arvanitis and A. I. DelisSIAM Journal on Scientific Computing 28 (5) 1927 (2006)
DOI: 10.1137/050632853
See this article
A Godunov-type fractional semi-implicit method based on staggered grid for dam-break modeling
Amir Hossein Asadiani Yekta and Mohammad Ali BanihashemiInternational Journal for Numerical Methods in Fluids 67 (10) 1291 (2011)
DOI: 10.1002/fld.2419
See this article
Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws
Ramaz Botchorishvili and Olivier PironneauJournal of Computational Physics 187 (2) 391 (2003)
DOI: 10.1016/S0021-9991(03)00086-X
See this article
Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws
Christos Arvanitis, Charalambos Makridakis and Athanasios E. TzavarasSIAM Journal on Numerical Analysis 42 (4) 1357 (2004)
DOI: 10.1137/S0036142902420436
See this article
ENTROPY CONSERVATIVE SCHEMES AND ADAPTIVE MESH SELECTION FOR HYPERBOLIC CONSERVATION LAWS
CHRISTOS ARVANITIS, CHARALAMBOS MAKRIDAKIS and NIKOLAOS I. SFAKIANAKISJournal of Hyperbolic Differential Equations 07 (03) 383 (2010)
DOI: 10.1142/S0219891610002177
See this article
Time discretizations for numerical optimisation of hyperbolic problems
Michael Herty and Veronika SchleperApplied Mathematics and Computation 218 (1) 183 (2011)
DOI: 10.1016/j.amc.2011.05.116
See this article
Variants of relaxed schemes and two-dimensional gas dynamics
Mapundi Kondwani BandaJournal of Computational and Applied Mathematics 175 (1) 41 (2005)
DOI: 10.1016/j.cam.2004.06.008
See this article
Numerical Simulation of Conservation Laws with Moving Grid Nodes: Application to Tsunami Wave Modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis and Nina Yu. ShokinaGeosciences 9 (5) 197 (2019)
DOI: 10.3390/geosciences9050197
See this article
Method of relaxed streamline upwinding for hyperbolic conservation laws
Ameya D. JagtapWave Motion 78 132 (2018)
DOI: 10.1016/j.wavemoti.2018.02.001
See this article
Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods
A.I. Delis and Th. KatsaounisApplied Mathematical Modelling 29 (8) 754 (2005)
DOI: 10.1016/j.apm.2004.11.001
See this article
Entropy dissipation of moving mesh adaptation
Mária Lukáčová-Medvid'ová and Nikolaos SfakianakisJournal of Hyperbolic Differential Equations 11 (03) 633 (2014)
DOI: 10.1142/S0219891614500192
See this article
Relaxation schemes for the shallow water equations
A. I. Delis and Th. KatsaounisInternational Journal for Numerical Methods in Fluids 41 (7) 695 (2003)
DOI: 10.1002/fld.462
See this article
Hyperbolic Problems: Theory, Numerics, Applications
Theodoros Katsaounis and Charalambos MakridakisHyperbolic Problems: Theory, Numerics, Applications 621 (2003)
DOI: 10.1007/978-3-642-55711-8_58
See this article
Mesh Redistribution Strategies and Finite Element Schemes for Hyperbolic Conservation Laws
Christos ArvanitisJournal of Scientific Computing 34 (1) 1 (2008)
DOI: 10.1007/s10915-007-9155-7
See this article