Stabilized DG-PSTD method with nonconformal meshes for electromagnetic waves

Q Zhan, Y Fang, M Zhuang, M Yuan… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We present a node-based discontinuous Galerkin (DG) pseudospectral time domain (PSTD)
algorithm, with adaptive nonconformal unstructured meshes, for 3-D large-scale Maxwell's …

Isotropic Riemann solver for a nonconformal discontinuous Galerkin pseudospectral time-domain algorithm

Q Zhan, Q Ren, Q Sun, H Chen… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
We present a discontinuous Galerkin pseudospectral time-domain (DG-PSTD) algorithm to
solve elastic-/acoustic-wave propagation problems. The developed DG-PSTD algorithm …

A new upwind flux for a jump boundary condition applied to 3D viscous fracture modeling

Q Zhan, Q Sun, M Zhuang, Y Mao, Q Ren… - Computer methods in …, 2018 - Elsevier
We present a discontinuous Galerkin (DG) algorithm with nonconformal meshes to simulate
3D elastic wave propagation in heterogeneous media with arbitrary discrete fractures. In our …

A higher order hybrid SIE/FEM/SEM method for the flexible electromagnetic simulation in layered medium

Y Ren, Y Chen, Q Zhan, J Niu… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
A novel hybrid method is developed for the flexible and accurate electromagnetic simulation
of penetrable objects in a layered medium (LM). In this method, the original complex …

Discontinuous Galerkin pseudospectral time domain algorithm (DG-PSTD) with auxiliary ordinary differential equations perfectly matched layer (AODE-PML) for 3D …

Q Zhan*, Q Ren, Q Sun, QH Liu - SEG Technical Program Expanded …, 2015 - library.seg.org
A discontinuous Galerkin pseudospectral time domain (DGPSTD) algorithm is proposed for
the elastic wave propagation problem in unbounded domains, where an equivalent but …

A hybrid solver based on domain decomposition method for the composite scattering in layered medium

Y Ren, WF Huang, J Niu, QH Liu - IEEE Antennas and Wireless …, 2016 - ieeexplore.ieee.org
In the framework of domain decomposition method, we present a novel hybrid solver for
accurate electromagnetic simulations of composite objects in layered medium (LM). This …

Stability of a leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials

A Araujo, S Barbeiro, MK Ghalati - … in Computational Physics, 2017 - cambridge.org
In this work we discuss the numerical discretization of the time-dependent Maxwell's
equations using a fully explicit leap-frog type discontinuous Galerkin method. We present a …

Numerical analysis and simulation of discontinuous Galerkin methods for time-domain Maxwell's equations

MK Ghalati - 2016 - search.proquest.com
In this thesis we present a detailed analysis of a fully explicit leap-frog type discontinuous
Galerkin (DG) method for the numerical discretization of the time-dependent Maxwell's …

Convergence of an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials

A Araújo, S Barbeiro, M Khaksar Ghalati - Journal of Mathematics in …, 2018 - Springer
We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain
Maxwell's equations in anisotropic materials and derive its convergence properties. The a …

An SO-DGTD method of modeling dispersive media

Q Yang, B Wei, L Li, R Li, D Ge - Waves in Random and Complex …, 2021 - Taylor & Francis
A new method, called the SO-DGTD method, for solving time-dependent Maxwell's
equations via the discontinuous Galerkin time domain (DGTD) method in dispersive media …