activity
20182026
most citedHigh-order FDTD schemes for Maxwell's interface problems with discontinuous coefficients and complex interfaces based on the Correction Function Method

4 citations · 4 across the 7 of their papers we have counts for

collaborators

9 papers

math.NA2026

Waves 2026 Book of Abstracts

Lise-Marie Imbert-Gerard, Chrysoula Tsogka, Daniel Appelo +4

WAVES 2026, 17th International Conference on Mathematical and Numerical Aspects of Wave Propagation Concordia University (John Molson Building), Montreal, Canada, June 22-26, 2026…

math.NA2025

The high-order Hermite discrete correction function method for surface-driven electromagnetic problems

Yann-Meing Law

The Hermite-Taylor method evolves all the variables and their derivatives through order in time to achieve a order rate of convergence. The data required at each node of…

math.NA2025

A -Adaptive Hermite Method for Nonlinear Dispersive Maxwell's Equations

Yann-Meing Law, Zhichao Peng, Daniel Appelö +1

In this work, we introduce a novel Hermite method to handle Maxwell's equations for nonlinear dispersive media. The proposed method achieves high-order accuracy and is free of any…

math.NA2024

Energy-Conserving Hermite Methods for Maxwell's Equations

Daniel Appelo, Thomas Hagstrom, Yann-Meing Law-Kam-Cio

Energy-conserving Hermite methods for solving Maxwell's equations in dielectric and dispersive media are described and analyzed. In three space dimensions methods of order to…

math.NA2023

The Hermite-Taylor Correction Function Method for Embedded Boundary and Maxwell's Interface Problems

Yann-Meing Law, Daniel Appelö, Thomas Hagstrom

We propose a novel Hermite-Taylor correction function method to handle embedded boundary and interface conditions for Maxwell's equations. The Hermite-Taylor method evolves the ele…

math.NA2022

The Hermite-Taylor Correction Function Method for Maxwell's Equations

Yann-Meing Law, Daniel Appelö

The Hermite-Taylor method, introduced in 2005 by Goodrich, Hagstrom and Lorenz, is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains. Unfo…

math.NA2021★ 4 cited

High-order FDTD schemes for Maxwell's interface problems with discontinuous coefficients and complex interfaces based on the Correction Function Method

Yann-Meing Law, Jean-Christophe Nave

We propose high-order FDTD schemes based on the Correction Function Method (CFM) for Maxwell's interface problems with discontinuous coefficients and complex interfaces. The key id…

math.NA2019

FDTD schemes for Maxwell's equations with embedded perfect electric conductors based on the correction function method

Yann-Meing Law, Jean-Christophe Nave

In this work, we propose staggered FDTD schemes based on the correction function method (CFM) to discretize Maxwell's equations with embedded perfect electric conductor (PEC) bound…

math.NA2018

Treatment of complex interfaces for Maxwell's equations with continuous coefficients using the correction function method

Yann-Meing Law, Alexandre Noll Marques, Jean-Christophe Nave

We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical appro…