HDG-POD Reduced Order Model of the Heat Equation
Numerical Analysis
2018-11-27 v1
Abstract
We propose a new hybridizable discontinuous Galerkin (HDG) model order reduction technique based on proper orthogonal decomposition (POD). We consider the heat equation as a test problem and prove error bounds that converge to zero as the number of POD modes increases. We present 2D and 3D numerical results to illustrate the convergence analysis.
Keywords
Cite
@article{arxiv.1801.00079,
title = {HDG-POD Reduced Order Model of the Heat Equation},
author = {Jiguang Shen and John R. Singler and Yangwen Zhang},
journal= {arXiv preprint arXiv:1801.00079},
year = {2018}
}