Solving elliptic interface problems with jump conditions on Cartesian grids

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text

Computing, Computer Science, Computational Geometry +8

A finite element method for crack growth without remeshing

Nicolas Mo�s, John E. Dolbow, Ted Belytschko · International Journal for Numerical Methods in Engineering · 1999 · 6.2K citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +17

Level Set Methods: An Overview and Some Recent Results

Stanley Osher, Ronald Fedkiw · Journal of Computational Physics · 2001 · 2.3K citations

Computing, Computer Science, Mathematics +6

A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method)

Ronald Fedkiw, Tariq D. Aslam, Barry Merriman et al. · Journal of Computational Physics · 1999 · 1.9K citations

Engineering, Mechanical Engineering, Physics +13

Level Set Methods and Dynamic Implicit Surfaces

S Osher, Ronald Fedkiw, K. Piechór · Applied Mechanics Reviews · 2004 · 1.2K citations

Architecture, Computational Engineering, 3D Modeling +9