The ghost fluid method for deflagration and detonation discontinuities

A second-order-accurate symmetric discretization of the Poisson equation on irregular domains

Journal of Computational Physics

The random projection method for stiff multispecies detonation capturing

Journal of Computational Physics

Shock capturing, level sets, and PDE based methods in computer vision and image processing: a review of Osher's contributions

Journal of Computational Physics

A level set approach to Eulerian-Lagrangian coupling

Journal of Computational Physics

A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws II: Systems of Equations

Journal of Scientific Computing

A Discontinuous Spectral Element Method for the Level Set Equation

Journal of Scientific Computing

Convergence of the ghost fluid method for elliptic equations with interfaces

Mathematics of Computation

Ghost fluid method for strong shock impacting on material interface

Journal of Computational Physics

A partial differential equation approach to multidimensional extrapolation

Journal of Computational Physics

A numerical method for three-dimensional gas-liquid flow computations

Journal of Computational Physics

An interface interaction method for compressible multifluids

Journal of Computational Physics

Local level set method in high dimension and codimension

Journal of Computational Physics

A second order primitive preconditioner for solving all speed multi-phase flows

Journal of Computational Physics

A quadrature-free discontinuous Galerkin method for the level set equation

Journal of Computational Physics

Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets

Journal of Scientific Computing

Adaptive characteristics-based matching for compressible multifluid dynamics

Journal of Computational Physics

Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method

Applied Numerical Mathematics

A high-resolution Godunov method for compressible multi-material flow on overlapping grids

Journal of Computational Physics

On Boundary Condition Capturing for Multiphase Interfaces

Journal of Scientific Computing

An upwinding boundary condition capturing method for Maxwell's equations in media with material interfaces

Journal of Computational Physics

An adaptive ghost fluid finite volume method for compressible gas-water simulations

Journal of Computational Physics

Numerical Simulation of Fluid-Structure Interaction Using Modified Ghost Fluid Method and Naviers Equations

Journal of Scientific Computing

Fast PDE approach to surface reconstruction from large cloud of points

Computer Vision and Image Understanding

Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions

Journal of Computational Physics

A high-order cut-cell method for numerical simulation of hypersonic boundary-layer instability with surface roughness

Journal of Computational Physics

On high-order shock-fitting and front-tracking schemes for numerical simulation of shock-disturbance interactions

Journal of Computational Physics

An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method

Journal of Computational Physics

A Robust Front Tracking Method: Verification and Application to Simulation of the Primary Breakup of a Liquid Jet

SIAM Journal on Scientific Computing

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

Journal of Scientific Computing

A diffuse interface model with immiscibility preservation

Journal of Computational Physics