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College of Liberal Arts and Sciences | Mathematics

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October 15, 2018 | 2:45 p.m. - 4:00 p.m.
Category: Lecture
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Weimin Han, University of Iowa

Title: Numerical Analysis of Hemivariational Inequalities with Applications in Contact Mechanics


Abstract: Inequality problems in mechanics can be divided into two main categories:that of variational inequalities concerned with convex functionals(potentials), and that of hemivariational inequalities concerned with nonconvex functionals (superpotentials). Through the formulation of hemivariational inequalities, problems involving nonmonotone, nonsmooth and multivalued constitutive laws, forces, and boundary conditions can be treated successfully. Hemivariational inequalities have been shown to be very useful across a wide variety of subjects, ranging from nonsmooth mechanics, physics, engineering, to economics.


This talk starts with a discussion of weak formulations of a model elliptic boundary value problems, followed by an introduction of variational inequalities and then that of hemivariational inequalities arising in contact mechanics. We present recent and new results on convergence and optimal order error estimates for numerical solutions of hemivariational inequalities. Numerical examples are shown on the performance of the numerical methods, including numerical convergence orders.

For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.