English

A high-order HDG method for the Biot's consolidation model

Numerical Analysis 2018-04-30 v1

Abstract

We propose a novel high-order HDG method for the Biot's consolidation model in poroelasticity. We present optimal error analysis for both the semi-discrete and full-discrete (combined with temporal backward differentiation formula) schemes. Numerical tests are provided to demonstrate the performance of the method.

Keywords

Cite

@article{arxiv.1804.10329,
  title  = {A high-order HDG method for the Biot's consolidation model},
  author = {Guosheng Fu},
  journal= {arXiv preprint arXiv:1804.10329},
  year   = {2018}
}

Comments

18 pages

R2 v1 2026-06-23T01:37:38.716Z