Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes

Handbook of linear partial differential equations for engineers and scientists

Choice Reviews Online · 2002 · 712 citations

Natural Sciences, Mathematics, Physics +17

A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

J. M. Greenberg, Alain Leroux · SIAM Journal on Numerical Analysis · 1996 · 669 citations

Natural Sciences, Mathematics, Physics +17

A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems

Pierre‐Henri Maire, Rémi Abgrall, J. Breil et al. · SIAM Journal on Scientific Computing · 2007 · 442 citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +10

Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces

Robert Eymard, Thierry Gallouët, R. Herbin · IMA Journal of Numerical Analysis · 2009 · 334 citations · Full text

Computing, Computational Engineering, Computational Mechanics +16

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

Konstantin Lipnikov, Mikhail Shashkov, D. Svyatskiy et al. · Journal of Computational Physics · 2007 · 264 citations

Computing, Mathematics, Physics +16