XFEM with hanging nodes for two-phase incompressible flow

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 continuum method for modeling surface tension

J. U. Brackbill, D.B. Kothe, C. Zemach · Journal of Computational Physics · 1992 · 10.1K citations

Engineering, Materials Engineering, Materials Science +14

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

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

A. Brooks, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1982 · 5.3K citations

Engineering, Computational Engineering, Aerodynamics +15

A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow

Mark Sussman, Peter Smereka, Stanley Osher · Journal of Computational Physics · 1994 · 4.7K citations

Natural Sciences, Mechanical Engineering, Physics +10