Nitsche's method for unilateral contact problems
Research output: Contribution to journal › Article › Scientific › peer-review
Researchers
Research units
- VTT Technical Research Centre of Finland
- University of Lisbon
Abstract
We derive optimal a priori and a posteriori error estimates for Nitsche's method applied to unilateral contact problems. Our analysis is based on the interpretation of Nitsche's method as a stabilised finite element method for the mixed Lagrange multiplier formulation of the contact problem wherein the Lagrange multiplier has been eliminated elementwise. To simplify the presentation, we focus on the scalar Signorini problem and outline only the proofs of the main results since most of the auxiliary results can be traced to our previous works on the numerical approximation of variational inequalities. We end the paper by presenting results of our numerical computations which corroborate the efficiency and reliability of the a posteriori estimators.
Details
Original language | English |
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Pages (from-to) | 189-204 |
Number of pages | 16 |
Journal | PORTUGALIAE MATHEMATICA |
Volume | 75 |
Issue number | 3-4 |
Publication status | Published - 1 Jan 2018 |
MoE publication type | A1 Journal article-refereed |
- A posteriori estimate, Nitsche's method, Stabilised finite elements, Unilateral contact
Research areas
ID: 35319689