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Numerical Analysis of Elliptic Hemivariational Inequalities
时间  Datetime
2017-07-07 10:30 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
Prof. Weimin Han
单位  Affiliation
Department of Mathematics,University of Iowa, USA
邀请人  Host
Jianguo Huang
报告摘要  Abstract

Inequality problems in mechanics can be divided into two main categories: that of variational inequalities concerned with convex energy functional (potentials), and that of hemivariational inequalities concerned with nonsmooth and nonconvex energy 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 gentle description of the basic notions and ideas of the theory of hemivariational inequalities.  We then present new results on convergence and optimal order error estimates for numerical solutions of elliptic hemivariational inequalities.  Numerical examples are shown on the performance of the numerical methods, including numerical convergence orders.