Godunov-type methods for conservation laws with a flux function discontinuous in space

Scalar conservation laws with a flux function discontinuous in space are approximated using a Godunov-type method for which a convergence theorem is proved. The case where the flux functions at the interface intersect is emphasized. A very simple formula is given for the interface flux. A numerical comparison between the Godunov numerical flux and the upstream mobility flux is presented for two-phase flow in porous media. A consequence of the convergence theorem is an existence theorem for the solution of the scalar conservation laws under consideration.Furthermore, for regular solutions, uniqueness has been shown

Monotonization of flux, entropy and numerical schemes for conservation laws

Using the concept of monotonization, families of two step and k-step finite volume schemes for scalar hyperbolic conservation laws are constructed and analyzed. These families contain the FORCE scheme and give an alternative to the MUSTA scheme. These schemes can be extended to systems of conservation law

Elements finis discontinus pour les lois de conservation

SIGLECNRS RS 14802 E / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

Flux calculation at the interface between two rock types for two-phase flow in porous media

Programme 6 : calcul scientifique, modelisation et logiciels numeriquesSIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.1993 n.2075 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

A discontinuous finite element method for scalar nonolinear conservation laws

Programme 6 : calcul scientifique, modelisation et logiciels numeriquesSIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.1993 n.1848 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

Godunov-type methods for conservation laws with a flux function discontinuous in space

Theme 4 - Simulation et optimisation de systemes complexes - Projets EstimeSIGLEAvailable from INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.2001 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

Refinement and coarsening indicators for adaptive parameterization : application to the estimation of hydraulic transmissivities

Theme 4 - Simulation et optimisation de systemes complexes - Projets EstimeSIGLEAvailable from INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.2001 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

A constructive method for deriving finite elements of nodal type

SIGLECNRS 14802E / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

A constructive method for deriving finite elements of nodal type

SIGLECNRS 14802E / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc