94 citations · 439 across the 45 of their papers we have counts for
7 papers · 1 filter
Asymptotic preserving Deferred Correction Residual Distribution schemes
Rémi Abgrall, Davide Torlo
This work aims to extend the residual distribution (RD) framework to stiff relaxation problems. The RD is a class of schemes which is used to solve hyperbolic system of partial dif…
Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics
R. Abgrall, K. Lipnikov, N. Morgan +1
We present the second-order multidimensional Staggered Grid Hydrodynamics Residual Distribution (SGH RD) scheme for Lagrangian hydrodynamics. The SGH RD scheme is based on the stag…
High order residual distribution for steady state problems for hyperbolic conservation laws}
Jianfang Lin, Rémi Abgrall, Jianxian Qiu
In this paper, we propose a high order residual distribution conservative finite difference scheme for solving steady state conservation laws. A new type of WENO (weighted essentia…
Model order reduction for parametrized nonlinear hyperbolic problems as an application to Uncertainty Quantification
R. Crisovan, D. Torlo, R. Abgrall +1
In this work, we focus on reduced order modeling (ROM) techniques for hyperbolic conservation laws with application in uncertainty quantification (UQ) and in conjunction with the w…
On the Connection between Residual Distribution Schemes and Flux Reconstruction
Remi Abgrall, Elise le Meledo, Philipp Oeffner
In this short paper, we are considering the connection between the \emph{Residual Distribution Schemes} (RD) and the \emph{Flux Reconstruction} (FR) approach. We demonstrate that f…
High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics
Remi Abgrall, Paola Bacigaluppi, Tokareva Svetlana
In the present work, a high order finite element type residual distribution scheme is designed in the framework of multidimensional compressible Euler equations of gas dynamics. Th…