A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations

A maximum-principle preserving finite element method for scalar conservation equations

(2014) Jean-Luc Guermond et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A correction technique for the dispersive effects of mass lumping for transport problems

(2012) Jean-Luc Guermond et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A formally second-order cell centred scheme for convection-diffusion equations on general grids

(2012) L. Piar et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection–diffusion equations on triangular meshes

(2012) Yifan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics

(2012) Veselin A. Dobrev et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes

(2011) Xiangxiong Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

DOLFIN

(2010) Anders Logg et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

On maximum-principle-satisfying high order schemes for scalar conservation laws

(2010) Xiangxiong Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy viscosity method for nonlinear conservation laws

(2010) Jean-Luc Guermond et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Entropy-based nonlinear viscosity for Fourier approximations of conservation laws

(2008) Jean-Luc Guermond et al.   COMPTES RENDUS MATHEMATIQUE