Approximation of 2-D and 3-D diffusion operators with variable full tensor coefficients on arbitrary meshes

The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources

Randall J. LeVeque, Zhilin Li · SIAM Journal on Numerical Analysis · 1994 · 1.5K citations

Natural Sciences, Physics, Computational Fluid Dynamics +15

A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains

Xudong Liu, Ronald Fedkiw, Myungjoo Kang · Journal of Computational Physics · 2000 · 625 citations

Natural Sciences, Physics, Computational Mechanics +12

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 · 366 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +16

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

I. Aavatsmark, T. Barkve, Ø. Bøe et al. · Journal of Computational Physics · 1996 · 247 citations

Engineering, Computational Engineering, Computational Mechanics +13

A Multipoint Flux Mixed Finite Element Method

Mary F. Wheeler, Ivan Yotov · SIAM Journal on Numerical Analysis · 2006 · 238 citations

Computing, Computational Engineering, Petroleum Engineering +14