Abstract
A mathematical formulation of a Signorini problem with friction can be characterized by a class of variational inequalities. In a variational inequality formulation, the presence of friction leads to nonconservative nondifferentiable forms, which represents a major difficulty to applying the finite element technique effectively. It has been shown that the finite element error estimate is of order h 1 2 in the energy norm. In this article we sharpen this result. Using the smooth perturbation of the variational inequality, we show that the error estimate for the finite element approximation if of order h in the energy norm. In fact, our estimates improve all of the previous known estimates for elliptic variational inequalities. We also discuss special cases that can be obtained from this general result.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
