36 citations · 75 across the 8 of their papers we have counts for
5 papers · 1 filter
Sharp estimates of HDG methods for Poisson equation II: 3D
Gang Chen, Peter Monk, Yangwen Zhang
In [SIAM J. Numer. Anal., 59 (2), 720-745], we proved quasi-optimal estimates (up to logarithmic factors) for the solution of Poisson's equation by a hybridizable discon…
norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem
Gang Chen, Peter Monk, Yangwen Zhang
We prove quasi-optimal norm error estimates (up to logarithmic factors) for the solution of Poisson's problem by the standard Hybridizable Discontinuous Galerkin (HDG) m…
HDG and CG methods for the Indefinite Time-Harmonic Maxwell's Equations under minimal regularity
Gang Chen, Peter Monk, Yangwen Zhang
We propose to use a hybridizable discontinuous Galerkin (HDG) method combined with the continuous Galerkin (CG) method to approximate Maxwell's equations. We make two contributions…
Analysis of the Rigorous Coupled Wave Approach for p-polarized light in gratings
Benjamin J. Civiletti, Akhlesh Lakhtakia, Peter B. Monk
We study the convergence properties of the two-dimensional Rigorous Coupled Wave Approach (RCWA) for p-polarized monochromatic incident light. The RCWA is a semi-analytical numeric…
Finite Element Methods for Maxwell's Equations
Peter Monk, Yangwen Zhang
We survey finite element methods for approximating the time harmonic Maxwell equations. We concentrate on comparing error estimates for problems with spatially varying coefficients…