English

A non-overlapping Schwarz algorithm for the HDG method

Numerical Analysis 2023-08-21 v1 Numerical Analysis

Abstract

In this paper, we present two non-overlapping Schwarz algorithms for the hybridizable discontinuous Galerkin (HDG) method. The first algorithm is based on the Neumann-Neumann method. The second one is an iterative algorithm uses both trace and flux interface unknowns on interfaces between subdomains. Numerical results are provided to verify the validity of our algorithms.

Cite

@article{arxiv.2308.09330,
  title  = {A non-overlapping Schwarz algorithm for the HDG method},
  author = {Issei Oikawa},
  journal= {arXiv preprint arXiv:2308.09330},
  year   = {2023}
}
R2 v1 2026-06-28T11:58:27.801Z