𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An improved prediction–correction method for monotone variational inequalities with separable operators

✍ Scribed by M.H. Xu; J.L. Jiang; B. Li; B. Xu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
739 KB
Volume
59
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study the variational inequality problems with a particular splitting structure, in which the mapping F does not have an explicit form and only its function values can be employed in the numerical methods for solving such problems. Studies and applications of such problems can be found in Fukushima (1992) [3], Glowinski (1984) [4], Glowinski (1989) [5] and Xu ( 2007) [15]. The paper He et al. (2006) [6] presents an efficient prediction-correction method for such problems. Based on the predictor method in the latter, this paper presents two classes of correction methods which are more convenient to be carried out than that in this reference. Numerical experiments show that the new method is effective.

📜 SIMILAR VOLUMES

A two-stage prediction–correction method
A two-stage prediction–correction method for solving monotone variational inequalities
✍ Xiaoling Fu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 196 KB

In this paper, we present a two-stage prediction-correction method for solving monotone variational inequalities. The method generates the two predictors which should satisfy two acceptance criteria. We also enhance the method with an adaptive rule to update prediction step size which makes the meth