Analysis of a one-dimensional model for the immersed boundary method

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

Journal of Computational Physics

Robust numerical simulation of porosity evolution in chemical vapor infiltration: II. Two-dimensional anisotropic fronts

Journal of Computational Physics

Immersed Interface Method for a Reaction-Diffusion Equation with a Moving Own Concentrated Source

NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications

Construction and Convergence of Difference Schemes for a Model Elliptic Equation with Dirac-delta Function Coefficient

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

Regularization Techniques for Numerical Approximation of PDEs with Singularities

Journal of Scientific Computing

A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions

Journal of Computational Physics

Numerical approximations of singular source terms in differential equations

Journal of Computational Physics

A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains

Journal of Computational Physics

Discretization of Dirac delta functions in level set methods

Journal of Computational Physics

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

Journal of Computational Physics

An immersed interface method for simulating the interaction of a fluid with moving boundaries

Journal of Computational Physics

Two methods for discretizing a delta function supported on a level set

Journal of Computational Physics

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

Journal of Computational Physics

A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations

Journal of Computational Physics

The immersed boundary method: A projection approach

Journal of Computational Physics

High order numerical methods to a type of delta function integrals

Journal of Computational Physics

Constructing spectral schemes of the immersed interface method via a global description of discontinuous functions

Journal of Computational Physics

Superposition of Multi-Valued Solutions in High Frequency Wave Dynamics

Journal of Scientific Computing

Smoothed profile method for particulate flows: Error analysis and simulations

Journal of Computational Physics

Discretizing delta functions via finite differences and gradient normalization

Journal of Computational Physics

A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations

Journal of Computational Physics

On the accuracy of direct forcing immersed boundary methods with projection methods

Journal of Computational Physics

Immersed-boundary methods for general finite-difference and finite-volume Navier-Stokes solvers

Journal of Computational Physics

Short note: A note on pressure accuracy in immersed boundary method for Stokes flow

Journal of Computational Physics

A boundary condition capturing immersed interface method for 3D rigid objects in a flow

Journal of Computational Physics

Towards oscillation-free implementation of the immersed boundary method with spectral-like methods

Journal of Computational Physics

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

Journal of Scientific Computing