Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh.

S. Champier; T. Gallouet; R. Herbin

Numerische Mathematik (1993/94)

  • Volume: 66, Issue: 2, page 139-158
  • ISSN: 0029-599X; 0945-3245/e

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Champier, S., Gallouet, T., and Herbin, R.. "Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh.." Numerische Mathematik 66.2 (1993/94): 139-158. <http://eudml.org/doc/133756>.

@article{Champier1993/94,
author = {Champier, S., Gallouet, T., Herbin, R.},
journal = {Numerische Mathematik},
keywords = {nonlinear hyperbolic problem; explicit Euler scheme; stability; convergence; upstream finite volume scheme; entropy weak solution},
number = {2},
pages = {139-158},
title = {Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh.},
url = {http://eudml.org/doc/133756},
volume = {66},
year = {1993/94},
}

TY - JOUR
AU - Champier, S.
AU - Gallouet, T.
AU - Herbin, R.
TI - Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh.
JO - Numerische Mathematik
PY - 1993/94
VL - 66
IS - 2
SP - 139
EP - 158
KW - nonlinear hyperbolic problem; explicit Euler scheme; stability; convergence; upstream finite volume scheme; entropy weak solution
UR - http://eudml.org/doc/133756
ER -

Citations in EuDML Documents

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  1. M. H. Vignal, Convergence of a finite volume scheme for an elliptic-hyperbolic system
  2. Bruno Després, Frédéric Lagoutière, Generalized Harten formalism and longitudinal variation diminishing schemes for linear advection on arbitrary grids
  3. Bruno Després, Frédéric Lagoutière, Generalized Harten Formalism and Longitudinal Variation Diminishing schemes for Linear Advection on Arbitrary Grids
  4. François Bouchut, Un formalisme pour les estimations de type Kružkov pour les lois de conservation scalaires
  5. Panagiotis Chatzipantelidis, Finite volume methods for elliptic PDE’s : a new approach
  6. Panagiotis Chatzipantelidis, Finite Volume Methods for Elliptic PDE's: A New Approach
  7. Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
  8. Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
  9. Laurent Levi, Obstacle problems for scalar conservation laws
  10. Laurent Levi, Obstacle problems for scalar conservation laws

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