Explicit jump immersed interface method for virtual material design of the effective elastic moduli of composite materials

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

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.7K citations

Numerical Analysis, Geometric Modeling, Machine Vision +12

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

Randall J. LeVeque, Zhilin Li · SIAM Journal on Numerical Analysis · 1994 · 1.4K citations

Numerical Analysis, Method Of Fundamental Solution, Elliptic Equation +14

Structural Boundary Design via Level Set and Immersed Interface Methods

James A. Sethian, Andreas Wiegmann · Journal of Computational Physics · 2000 · 1.2K citations

Geometric Modeling, Engineering, Fluid-structure Interaction +14

The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions

Anita Mayo · SIAM Journal on Numerical Analysis · 1984 · 277 citations

A Fast Iterative Algorithm for Elliptic Interface Problems

Zhilin Li · SIAM Journal on Numerical Analysis · 1998 · 271 citations

Numerical Analysis, Mathematical Programming, Fast Iterative Algorithm +13