IETI-DP方法关于h和p显式的条件数界
数值分析
2021-03-05 v1 数值分析
摘要
我们研究用于对多片等几何分析产生的大规模代数系统求解的对偶原始等几何撕裂与互联（IETI-DP）方法的收敛行为。我们关注二维计算域上的泊松问题。我们给出了涵盖若干种原始自由度选择的收敛分析：顶点值、边平均值以及两者组合。我们推导了条件数界，其表现出关于网格尺寸h的预期行为，且关于样条次数p为拟线性。
引用
@article{arxiv.1912.07909,
title = {Condition number bounds for IETI-DP methods that are explicit in h and p},
author = {Rainer Schneckenleitner and Stefan Takacs},
journal= {arXiv preprint arXiv:1912.07909},
year = {2021}
}
备注
The first author was supported by the Austrian Science Fund (FWF): S117 and W1214-04, while the second author has received support by the Austrian Science Fund (FWF): P31048. Moreover, the authors thank Ulrich Langer for fruitful discussions and help with the study of existing literature