A flux-based HDG method
Numerical Analysis
2022-12-13 v4 Numerical Analysis
Abstract
In this paper, we present a flux-based formulation of the hybridizable discontinuous Galerkin (HDG) method for steady-state diffusion problems and propose a new method derived by letting a stabilization parameter tend to infinity. Assuming an inf-sup condition, we prove its well-posedness and error estimates of optimal order. We show that the inf-sup condition is satisfied by some triangular elements. Numerical results are also provided to support our theoretical results.
Cite
@article{arxiv.1811.00737,
title = {A flux-based HDG method},
author = {Issei Oikawa},
journal= {arXiv preprint arXiv:1811.00737},
year = {2022}
}
Comments
16 pages