A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes

Maximum principle and uniform convergence for the finite element method

Philippe G. Ciarlet, Pierre-Arnaud Raviart · Computer Methods in Applied Mechanics and Engineering · 1973 · 504 citations

Numerical Analysis, Finite Element Method, Method Of Fundamental Solution +10

Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods

I. Aavatsmark, T. Barkve, Trond Mannseth · SIAM Journal on Scientific Computing · 1998 · 363 citations

Numerical Analysis, Engineering, Anisotropic Media +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 · 259 citations

Geometric Modeling, Finite Element Method, Numerical Analysis +11

Discretization on Non-Orthogonal, Quadrilateral Grids for Inhomogeneous, Anisotropic Media

I. Aavatsmark, T. Barkve, Ø. Bøe et al. · Journal of Computational Physics · 1996 · 244 citations

Numerical Analysis, Finite Element Method, Engineering +7

Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem

Yves Coudière, Jean‐Paul Vila, Philippe Villedieu · ESAIM Mathematical Modelling and Numerical Analysis · 1999 · 216 citations · Full text

Numerical Analysis, Engineering, General Unstructured Meshes +16