A fast, high-order algorithm for the solution of surface scattering problems: basic implementation, tests, and applications

A fast algorithm for three-dimensional potential fields calculation: fast Fourier transform on multipoles

Journal of Computational Physics

A kernel-independent adaptive fast multipole algorithm in two and three dimensions

Journal of Computational Physics

A simple manifold-based construction of surfaces of arbitrary smoothness

ACM SIGGRAPH 2004 Papers

A high-order algorithm for obstacle scattering in three dimensions

Journal of Computational Physics

High-order RKDG Methods for Computational Electromagnetics

Journal of Scientific Computing

A fast, higher-order solver for scattering by penetrable bodies in three dimensions

Journal of Computational Physics

An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics

Journal of Computational Physics

High-order RKDG methods for computational electromagnetics

Journal of Scientific Computing

Surface modeling and parameterization with manifolds: Siggraph 2006 course notesAuthor presenation videos are available from the citation page

ACM SIGGRAPH 2006 Courses

Surface modeling and parameterization with manifolds

SIGGRAPH '05 ACM SIGGRAPH 2005 Courses

A spectrally accurate integral equation solver for molecular surface electrostatics

Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design

A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains

Journal of Computational Physics

A mixed hybrid formulation based on oscillated finite element polynomials for solving Helmholtz problems

Journal of Computational and Applied Mathematics

An O(1) integration scheme for three-dimensional surface scattering problems

Journal of Computational and Applied Mathematics

Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis

Journal of Computational Physics

A meshless, spectrally accurate, integral equation solver for molecular surface electrostatics

ACM Journal on Emerging Technologies in Computing Systems (JETC)

A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces

Journal of Computational Physics

A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains

Computing

Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations

Journal of Computational Physics

A spectral boundary integral method for flowing blood cells

Journal of Computational Physics

Fast directional algorithms for the Helmholtz kernel

Journal of Computational and Applied Mathematics

Local solutions to high-frequency 2D scattering problems

Journal of Computational Physics

A high accuracy algorithm for 3D periodic electromagnetic scattering

Journal of Computational Physics

Manifold-based surfaces with boundaries

Computer Aided Geometric Design

A fast algorithm for simulating vesicle flows in three dimensions

Journal of Computational Physics

A fast directional algorithm for high-frequency electromagnetic scattering

Journal of Computational Physics

Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions

Journal of Computational Physics

A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces

Journal of Computational Physics

A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media

Journal of Computational Physics

Convergence and conditioning of a Nyström method for Stokes flow in exterior three-dimensional domains

Advances in Computational Mathematics

A high-order integral solver for scalar problems of diffraction by screens and apertures in three-dimensional space

Journal of Computational Physics

Quadrature by expansion: A new method for the evaluation of layer potentials

Journal of Computational Physics

A Nyström flavored Calderón Calculus of order three for two dimensional waves, time-harmonic and transient

Computers & Mathematics with Applications

A fast and high-order method for the three-dimensional elastic wave scattering problem

Journal of Computational Physics

Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including Wood anomalies

Journal of Computational Physics