R. Abgrall

Publication List Details

Period

1995 - 2009

Number

8

Co-Authors

Preliminary results on very high order oscillation free Residual Distribution schemes for hyperbolic systems (2006)

R. Abgrall, M. Ricchiuto

Since a few years, the Residual Distribution (RD) methodology has become a more mature numerical technique. It has been applied to several physical problems: standard aerodynamic problems, MHD flows,...

Residual distribution schemes on quadrilateral meshes (2005)

F. Marpeau, R. Abgrall

We propose an investigation of the residual distribution schemes for the numerical approximation of two dimensional hyperbolic systems of conservation laws on general quadrilateral meshes. In...

High Order Fluctuation Schemes on Triangular Meshes (2003)

Abgrall, R., Roe, Philip L.

We develop a new class of schemes for the numerical solution of first-order steady conservation laws. The schemes are of the residual distribution, or fluctuation-splitting type. These schemes have...

Design of an Essentially Non-Oscillatory Reconstruction Procedure on Finite-Element Type Meshes. (1998)

Abgrall, R.

In this report, we have designed an essentially non-oscillatory reconstruction for functions defined on finite-element type meshes. Two related problems are studied: the interpolation of possibly...

On Essentially Non-Oscillatory Schemes on Unstructured Meshes: Analysis and Implementation. (1998)

Abgrall, R.

A few years ago, the class of Essentially Non-Oscillatory Schemes for the numerical simulation of hyperbolic equations and systems was constructed. Since then, some extensions have been made to...