Approximations of Variational Inequalities

  • Anca Capatina
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 31)


This chapter is devoted to the discrete approximation of abstract elliptic and implicit evolutionary quasi-variational inequalities. Convergence results for internal approximations in space of elliptic quasi-variational inequalities together with a backward difference scheme in time of implicit evolutionary quasi-variational inequalities are proved. The results obtained in this chapter, representing generalizations of the approximations of variational inequalities of the first and second kinds, can be applied to a large variety of static and quasistatic contact problems, including unilateral and bilateral contact or normal compliance conditions with friction. In particular, static and quasistatic unilateral contact problems with nonlocal Coulomb friction in linear elasticity will be considered in last part of this book.


Variational Inequality Nonempty Closed Convex Subset Discrete Approximation Closed Convex Cone Nonempty Convex 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Anca Capatina
    • 1
  1. 1.Institute of Mathematics “Simion Stoilow” of the Romanian AcademyBucharestRomania

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