The Shortley–Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions

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

A Cartesian Grid Embedded Boundary Method for Poisson's Equation on Irregular Domains

Hans Johansen, Phillip Colella · Journal of Computational Physics · 1998 · 488 citations · Full text

Engineering, Computational Engineering, Physics +14

<i>Numerical Solution of Ordinary and Partial Differential Equations</i>

L. Fox, J. Gillis · Physics Today · 1963 · 486 citations

Natural Sciences, Mathematics, Differential Equations +11

The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

Andreas Wiegmann, Kenneth P. Bube · SIAM Journal on Numerical Analysis · 2000 · 270 citations

Engineering, Computational Engineering, Physics +15