Laplace's equation and the Dirichlet-Neumann map in multiply connected domains

Electrostatic fields without singularities: theory, algorithms and error analysis

Journal of the ACM (JACM)

Simulating the Behavior of MEMS Devices: Computational Methods and Needs

IEEE Computational Science & Engineering

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

An analytical method for linear elliptic PDEs and its numerical implementation

Journal of Computational and Applied Mathematics

Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method

Journal of Computational Physics

A boundary integral formulation of quasi-steady fluid wetting

Journal of Computational Physics

Short note: Moore's law and the Saffman-Taylor instability

Journal of Computational Physics

Electrostatics and heat conduction in high contrast composite materials

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

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

Journal of Computational Physics

On the evaluation of layer potentials close to their sources

Journal of Computational Physics

The immersed interface method for simulating prescribed motion of rigid objects in an incompressible viscous flow

Journal of Computational Physics

Faster convergence and higher accuracy for the Dirichlet-Neumann map

Journal of Computational Physics

Fast integral equation methods for the modified Helmholtz equation

Journal of Computational Physics

A novel technique to parametrize shell-like deformations inside biological membranes

Computational Mechanics

Fast integral equation methods for Rothe's method applied to the isotropic heat equation

Computers & Mathematics with Applications

Linear-time smoke animation with vortex sheet meshes

EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation

Linear-time smoke animation with vortex sheet meshes

Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation

On the use of rational-function fitting methods for the solution of 2D Laplace boundary-value problems

Journal of Computational Physics

Second kind integral equation formulation for the modified biharmonic equation and its applications

Journal of Computational Physics