A hybrid method for moving interface problems with application to the Hele-Shaw flow

Reactive autophobic spreading of drops

Journal of Computational Physics

A Level Set-Boundary Element Method for Simulation of Dynamic Powder Consolidation of Metals

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications

A rectangular immersed finite element space for interface problems

Scientific computing and applications

An Eulerian method for computation of multimaterial impact with ENO shock-capturing and sharp interfaces

Journal of Computational Physics

An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface

Journal of Scientific Computing

Finite elements for elliptic problems with wild coefficients

Computational science, mathematics and software

Convergence of the ghost fluid method for elliptic equations with interfaces

Mathematics of Computation

A moving overset grid method for interface dynamics applied to non-Newtonian Hele-Shaw flow

Journal of Computational Physics

A level set based Eulerian method for paraxial multivalued traveltimes

Journal of Computational Physics

A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant

Journal of Computational Physics

Sharp interface Cartesian grid method III: Solidification of pure materials and binary solutions

Journal of Computational Physics

A level-set method for interfacial flows with surfactant

Journal of Computational Physics

The numerical approximation of a delta function with application to level set methods

Journal of Computational Physics

High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources

Journal of Computational Physics

A moving mesh interface tracking method for 3D incompressible two-phase flows

Journal of Computational Physics

On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method

Journal of Computational Physics

A large jump asymptotic framework for solving elliptic and parabolic equations with interfaces and strong coefficient discontinuities

Applied Numerical Mathematics

A study of numerical methods for the level set approach

Applied Numerical Mathematics

Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces

Journal of Computational Physics

Fast data extrapolating

Journal of Computational and Applied Mathematics

A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity

Journal of Computational Physics

A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell

Journal of Computational Physics

High order numerical methods to a type of delta function integrals

Journal of Computational Physics

Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities

Journal of Computational Physics

Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing

Journal of Computational Physics

A grid based particle method for moving interface problems

Journal of Computational Physics

High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains

Journal of Scientific Computing

A low numerical dissipation immersed interface method for the compressible Navier-Stokes equations

Journal of Computational Physics

MIB method for elliptic equations with multi-material interfaces

Journal of Computational Physics

An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application

Computers & Mathematics with Applications

Physalis method for heterogeneous mixtures of dielectrics and conductors: Accurately simulating one million particles using a PC

Journal of Computational Physics

An Analysis of a Broken $P_1$-Nonconforming Finite Element Method for Interface Problems

SIAM Journal on Numerical Analysis

Augmented strategies for interface and irregular domain problems

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications

Heterogeneous mixtures of elliptical particles: Directly resolving local and global properties and responses

Journal of Computational Physics

A second order virtual node algorithm for Stokes flow problems with interfacial forces, discontinuous material properties and irregular domains

Journal of Computational Physics

Weak Galerkin methods for second order elliptic interface problems

Journal of Computational Physics

A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method

Computers & Mathematics with Applications

A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries

Journal of Computational Physics