This article reviews the state of the recently developed discontinuous Galerkin finite element method for the efficient numerical treatment of nanophotonic systems. This approach …
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 …
The continuous partial differential equations governing a given physical phenomenon, such as the Navier–Stokes equations describing the fluid motion, must be numerically discretized …
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 …
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 …
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 …
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 …
We discuss the development, verification, and performance of a GPU accelerated discontinuous Galerkin method for the solutions of two dimensional nonlinear shallow water …
Finite element schemes based on discontinuous Galerkin methods possess features amenable to massively parallel computing accelerated with general purpose graphics …