Research
Work in progress
A Bivariate Spline Method for the Numerical Solution of an Elliptic Obstacle Problem.
A Bivariate Spline Solution to the Exterior Helmholtz Equations and Its Applications (with Ming-Jun Lai).
Papers
A Trefftz Discontinuous Galerkin Method for Time Harmonic Waves with Generalized Impedance Boundary Conditions (with Peter Monk, Virginia Selgas)
Applicable Analysis 99 (2020), pp. 379–406
A Plane Wave Discontinuous Galerkin Method with a Dirichlet-to-Neumann Boundary Condition for the Scattering Problem in Acoustics (with Peter Monk)
Journal of Computational and Applied Mathematics 327 (2018) pp. 208–225
Residual based Adaptivity and PWDG Methods for the Helmholtz Equation (with Peter Monk, Timothy Warburton)
SIAM Journal on Scientific Computing
37 (2015) pp. A1525–A1553
On Isoperimetric Surfaces in General Relativity II (with Farhan Abedin, Justin Corvino, Haotian Wu)
Journal of Geometry and Physics 59 (2009) 1453–1460.
(journal)
Code
Functions for computing with barycentric coordinates and b-net coefficients
This Python code contains functions for computing with barycentric coordinates and b-net coefficients.
(github)