Discontinuous G alerkin Methods for Computational Fluid Dynamics

B Cockburn - Encyclopedia of computational mechanics, 2004 - Wiley Online Library
The discontinuous Galerkin methods are locally conservative, high‐order accurate, and
robust methods that can easily handle elements of arbitrary shapes, irregular triangulations …

An HDG method for convection diffusion equation

W Qiu, K Shi - Journal of Scientific Computing, 2016 - Springer
We present a new hybridizable discontinuous Galerkin (HDG) method for the convection
diffusion problem on general polyhedral meshes. This new HDG method is a generalization …

Efficiency enhancement of ultrathin CIGS solar cells by optimal bandgap grading

F Ahmad, TH Anderson, PB Monk, A Lakhtakia - Applied optics, 2019 - opg.optica.org
The power conversion efficiency of an ultrathin CuIn_1− ξGa_ξSe_2 (CIGS) solar cell was
maximized using a coupled optoelectronic model to determine the optimal bandgap grading …

[HTML][HTML] A robust WG finite element method for convection–diffusion–reaction equations

G Chen, M Feng, X **e - Journal of Computational and Applied …, 2017 - Elsevier
This paper proposes and analyzes a weak Galerkin (WG) finite element method for 2-and 3-
dimensional convection–diffusion–reaction problems on conforming or nonconforming …

Discontinuous Galerkin methods through the lens of variational multiscale analysis

SKF Stoter, B Cockburn, TJR Hughes… - Computer Methods in …, 2022 - Elsevier
In this article, we present a theoretical framework for integrating discontinuous Galerkin
methods in the variational multiscale paradigm. Our starting point is a projector-based …

A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks

H Egger, N Philippi - ESAIM: Mathematical Modelling and …, 2023 - esaim-m2an.org
We study the numerical approximation of singularly perturbed convection-diffusion problems
on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type of …

Towards highly efficient thin-film solar cells with a graded-bandgap CZTSSe layer

F Ahmad, A Lakhtakia, TH Anderson… - Journal of Physics …, 2020 - iopscience.iop.org
A coupled optoelectronic model was implemented along with the differential evolution
algorithm to assess the efficacy of grading the bandgap of the Cu 2 ZnSn (S ξ Se 1–ξ) 4 …

Space-time hybridizable discontinuous Galerkin method for advection-diffusion on deforming domains: The advection-dominated regime

Y Wang, S Rhebergen - arxiv preprint arxiv:2308.12130, 2023 - arxiv.org
We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-
dependent advection-diffusion equation on deforming domains. We prove stability of the …

Robust a posteriori error estimates for HDG method for convection–diffusion equations

H Chen, J Li, W Qiu - IMA Journal of Numerical Analysis, 2016 - academic.oup.com
We propose a robust a posteriori error estimator for the hybridizable discontinuous Galerkin
method for convection–diffusion equations with dominant convection. The reliability and …

Coupled optoelectronic simulation and optimization of thin-film photovoltaic solar cells

TH Anderson, BJ Civiletti, PB Monk… - Journal of Computational …, 2020 - Elsevier
A design tool was formulated for optimizing the efficiency of inorganic, thin-film, photovoltaic
solar cells. The solar cell can have multiple semiconductor layers in addition to antireflection …