RELIABLE AND EFFICIENT A POSTERIORI ERROR ESTIMATES OF DG METHODS FOR A SIMPLIFIED FRICTIONAL CONTACT PROBLEM

Fei Wang; Weimin Han

Back

RELIABLE AND EFFICIENT A POSTERIORI ERROR ESTIMATES OF DG METHODS FOR A SIMPLIFIED FRICTIONAL CONTACT PROBLEM

Journal article

Peer reviewed

RELIABLE AND EFFICIENT A POSTERIORI ERROR ESTIMATES OF DG METHODS FOR A SIMPLIFIED FRICTIONAL CONTACT PROBLEM

Fei Wang and Weimin Han

International journal of numerical analysis and modeling, Vol.16(1), pp.49-62

01/01/2019

View Online

Abstract

A posteriori error estimators are studied for discontinuous Galerkin methods for solving a representative elliptic variational inequality of the second kind, known as a simplified frictional contact problem. The estimators are derived by relating the error of the variational inequality to that of a linear problem. Reliability and efficiency of the estimators are theoretically proved.

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Details

Title: Subtitle: RELIABLE AND EFFICIENT A POSTERIORI ERROR ESTIMATES OF DG METHODS FOR A SIMPLIFIED FRICTIONAL CONTACT PROBLEM
Creators: Fei Wang - Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Weimin Han - Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Resource Type: Journal article
Publication Details: International journal of numerical analysis and modeling, Vol.16(1), pp.49-62
Publisher: ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
ISSN: 1705-5105
Number of pages: 14
Grant note: DMS-1521684 / NSF 11771350 / Chinese National Science Foundation
Language: English
Date published: 01/01/2019
Academic Unit: Mathematics
Record Identifier: 9984240868602771

Metrics

15 Record Views