Decoupled mixed element schemes for fourth order problems
Numerical Analysis
2016-12-01 v1
Abstract
In this paper, we study decoupled mixed element schemes for fourth order problems. A general process is designed such that an elliptic problem on high-regularity space is transformed to a decoupled system with spaces of low order involved only and is further discretised by low-degree finite elements. The process can be fit for various fourth order problems, and is used in the remaining of the paper particularly for three-dimensional bi-Laplacian equation to conduct a family of mixed element discretisation schemes.
Cite
@article{arxiv.1611.10029,
title = {Decoupled mixed element schemes for fourth order problems},
author = {Shuo Zhang},
journal= {arXiv preprint arXiv:1611.10029},
year = {2016}
}