A fast Poisson solver for complex geometries

Electrostatic fields without singularities: theory, algorithms and error analysis

Journal of the ACM (JACM)

A Fat Boundary Method for the Poisson Problem in a Domain with Holes

Journal of Scientific Computing

A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions

Journal of Computational Physics

A Hierarchical 3-D Poisson Modified Fourier Solver by Domain Decomposition

Journal of Scientific Computing

A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D

Journal of Computational Physics

A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow

Journal of Computational Physics

A fast solver for the Stokes equations with distributed forces in complex geometries

Journal of Computational Physics

A ghost-cell immersed boundary method for flow in complex geometry

Journal of Computational Physics

A Fast Spectral Subtractional Solver for Elliptic Equations

Journal of Scientific Computing

The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions

Journal of Computational Physics

High order accurate particular solutions of the biharmonic equation on general regions

Contemporary mathematics

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

Journal of Computational Physics

A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids

Journal of Computational Physics

Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions

Journal of Computational Physics

A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids

Journal of Scientific Computing

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

Applied Numerical Mathematics

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

Journal of Computational Physics

A coupling interface method for elliptic interface problems

Journal of Computational Physics

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

Journal of Computational Physics

A kernel-free boundary integral method for elliptic boundary value problems

Journal of Computational Physics

MIB method for elliptic equations with multi-material interfaces

Journal of Computational Physics

Augmented strategies for interface and irregular domain problems

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

An economic method for evaluation of volume integrals

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

A transformation-free HOC scheme and multigrid method for solving the 3D Poisson equation on nonuniform grids

Journal of Computational Physics

A kernel-free boundary integral method for implicitly defined surfaces

Journal of Computational Physics