Discontinuous Galerkin Methods for Solving a Frictional Contact Problem with Normal Compliance. (10th September 2018)

• Record Type: Journal Article
• Authors: Xiao, Wenqiang; Wang, Fei; Han, Weimin
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 12(2018)
• Page Start: 1248
• Page End: 1264
• Publication Date: 2018-09-10
• Subjects: Contact problem -- discontinuous Galerkin methods -- normal compliance -- quasi-variational inequality; 65N30; 49J40; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1472609
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Several discontinuous Galerkin (DG) methods are introduced for solving a frictional contact problem with normal compliance, which is modeled as a quasi-variational inequality. Consistency, boundedness, and stability are established for the DG methods. Two numerical examples are presented to illustrate the performance of the DG methods.