Computational Contact Problems: Investigations on the Robustness of Generalized Newton Method, Fixed-Point method and Partial Newton Method. Issue 4 (4th July 2018)

• Record Type: Journal Article
• Authors: Kudawoo, A.D.; Abbas, M.; De-Soza, T.; Lebon, F.; Rosu, I.
• Is Part Of: International journal for computational methods in engineering science and mechanics. Volume 19:Issue 4(2018)
• Page Start: 268
• Page End: 282
• Publication Date: 2018-07-04
• Subjects: Optimzation methods -- contact and friction -- augmented Lagrangian -- robustness -- performance; Engineering -- Data processing -- Periodicals; Engineering mathematics -- Periodicals; Computer-aided engineering -- Periodicals; 620.00420285
• DOI: 10.1080/15502287.2018.1502217
• Languages: English
• ISSNs: 1550-2287

Abstract

Abstract: Dealing with frictional contact simulations, one can use generalized Newton method or Fixed-point method. In this article, we present partial Newton method which combines advantages from both algorithms. The solution techniques presented are based on an equivalent writing of the augmented Lagrangian formulation. Level-set functions are introduced to describe the status of the point. We consider various numerical examples especially a large scale industrial in order to compare the algorithms implemented.