Discontinuous Galerkin time-domain methods for multiscale electromagnetic simulations: A review

J Chen, QH Liu - Proceedings of the IEEE, 2012 - ieeexplore.ieee.org
Efficient multiscale electromagnetic simulations require several major challenges that need
to be addressed, such as flexible and robust geometric modeling schemes, efficient and …

Discontinuous Galerkin methods in nanophotonics

K Busch, M König, J Niegemann - Laser & Photonics Reviews, 2011 - Wiley Online Library
This article reviews the state of the recently developed discontinuous Galerkin finite element
method for the efficient numerical treatment of nanophotonic systems. This approach …

GPU-accelerated discontinuous Galerkin methods on hybrid meshes

J Chan, Z Wang, A Modave, JF Remacle… - Journal of …, 2016 - Elsevier
We present a time-explicit discontinuous Galerkin (DG) solver for the time-domain acoustic
wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal …

Current and emerging time-integration strategies in global numerical weather and climate prediction

G Mengaldo, A Wyszogrodzki, M Diamantakis… - … Methods in Engineering, 2019 - Springer
The continuous partial differential equations governing a given physical phenomenon, such
as the Navier–Stokes equations describing the fluid motion, must be numerically discretized …

Acceleration of frequency sweeping in eddy-current computation

M Lu, A Peyton, W Yin - IEEE Transactions on Magnetics, 2017 - ieeexplore.ieee.org
In this paper, a novel method for accelerating frequency sweeping in eddy-current
calculation using finite-element method is presented. Exploiting the fact that between …

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 …

Toward GPU accelerated topology optimization on unstructured meshes

T Zegard, GH Paulino - Structural and multidisciplinary optimization, 2013 - Springer
The present work investigates the feasibility of finite element methods and topology
optimization for unstructured meshes in massively parallel computer architectures, more …

Massively parallel modeling of electromagnetic field in conductive media: An MPI-CUDA implementation on Multi-GPU computers

X Tu, EJ Bowles-Martinez, A Schultz - Computers & Geosciences, 2024 - Elsevier
Numerical modeling of electromagnetic (EM) fields in a conductive marine environment is
crucial for marine EM data interpretation. During marine controlled-source electromagnetic …

GPU accelerated discontinuous Galerkin methods for shallow water equations

R Gandham, D Medina, T Warburton - … in Computational Physics, 2015 - cambridge.org
We discuss the development, verification, and performance of a GPU accelerated
discontinuous Galerkin method for the solutions of two dimensional nonlinear shallow water …

GPU performance analysis of a nodal discontinuous Galerkin method for acoustic and elastic models

A Modave, A St-Cyr, T Warburton - Computers & Geosciences, 2016 - Elsevier
Finite element schemes based on discontinuous Galerkin methods possess features
amenable to massively parallel computing accelerated with general purpose graphics …