Design of acoustic absorbing metasurfaces using a data-driven approach
The design of acoustic metasurfaces with desirable properties is challenging due to their
artificial nature and the large space of physical and geometrical parameters. Until recently …
artificial nature and the large space of physical and geometrical parameters. Until recently …
Weak Galerkin methods for time-dependent Maxwell's equations
S Shields, J Li, EA Machorro - Computers & Mathematics with Applications, 2017 - Elsevier
This paper adapts the weak Galerkin (WG) finite element scheme to Maxwell's equations in
the time domain. Developed by Wang and Ye in 2011, the WG scheme is a discontinuous …
the time domain. Developed by Wang and Ye in 2011, the WG scheme is a discontinuous …
Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
Simulation of electromagnetic wave propagation in metamaterials leads to more
complicated time domain Maxwell's equations than the standard Maxwell's equations in free …
complicated time domain Maxwell's equations than the standard Maxwell's equations in free …
Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
In this paper, we discuss the local discontinuous Galerkin methods coupled with two specific
explicit-implicit-null time discretizations for solving one-dimensional nonlinear diffusion …
explicit-implicit-null time discretizations for solving one-dimensional nonlinear diffusion …
Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media
The propagation of electromagnetic waves in general media is modeled by the time-
dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws …
dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws …
A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects
The interaction of light with metallic nanostructures is increasingly attracting interest
because of numerous potential applications. Sub-wavelength metallic structures, when …
because of numerous potential applications. Sub-wavelength metallic structures, when …
Simulation of electromagnetic wave propagations in negative index materials by the localized RBF-collocation method
In this paper, a fast simulation of the electromagnetic wave propagation in negative index
materials is developed by the localized meshfree radial basis function (RBF) collocation …
materials is developed by the localized meshfree radial basis function (RBF) collocation …
[PDF][PDF] A literature survey of mathematical study of metamaterials
J Li - Int. J. Numer. Anal. Model, 2016 - math.ualberta.ca
Since the successful construction of the so-called double negative metamaterials in 2000,
there has been a growing interest in studying metamaterials across many disciplinaries. In …
there has been a growing interest in studying metamaterials across many disciplinaries. In …
Development and analysis of a new finite element method for the Cohen–Monk PML model
This work deals with the Cohen–Monk Perfectly Matched Layer (PML) model. We first carry
out the stability analysis of its equivalent form. Then we propose and analyse a finite …
out the stability analysis of its equivalent form. Then we propose and analyse a finite …
Two new finite element schemes and their analysis for modeling of wave propagation in graphene
J Li - Results in Applied Mathematics, 2021 - Elsevier
In this paper, we investigate a system of governing equations for modeling wave
propagation in graphene. Compared to our previous work (Yang et al., 2020), here we re …
propagation in graphene. Compared to our previous work (Yang et al., 2020), here we re …