Name
Title | ||
|---|---|---|
Numerical analysis of history-dependent variational-hemivariational inequalities with applications in contact mechanics. |
Abstract | ||
|---|---|---|
This paper is devoted to numerical analysis of history-dependent variational– hemivariational inequalities arising in contact problems for viscoelastic material. We introduce both temporally semi-discrete approximation and fully discrete approximation for the problem, where the temporal integration is approximated by a trapezoidal rule and the spatial variable is approximated by the finite element method. We analyze the discrete schemes and derive error bounds. The results are applied for the numerical solution of a quasistatic contact problem. For the linear finite element method, we prove that the error estimation for the numerical solution is of optimal order under appropriate solution regularity assumptions. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.cam.2018.08.046 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Variational–Hemivariational inequality,Clarke subdifferential,History-dependent operator,Finite element method,Optimal order error estimate,Contact mechanics | Viscoelasticity,Mathematical analysis,Contact mechanics,Quasistatic process,Trapezoidal rule,Finite element method,Numerical analysis,Mathematics | Journal |
Volume | ISSN | Citations |
351 | 0377-0427 | 1 |
PageRank | References | Authors |
0.44 | 3 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wei Xu | 1 | 9 | 2.48 |
| Ziping Huang | 2 | 5 | 3.35 |
| Weimin Han | 3 | 52 | 12.52 |
| Wenbin Chen | 4 | 57 | 7.88 |
| Cheng Wang | 5 | 6 | 2.31 |