Boundary element methods for variational inequalities

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Multigrid methods for variational inequalities

In this paper we introduce four multigrid algorithms for the constrained minimization of non-quadratic functionals. The algorithm introduced in [L. Badea, Convergence rate of a Schwarz multilevel method for the constrained minimization of non-quadratic functionals, SIAM J. Numer. Anal., 44, 2, 2006, p. 449-477], has a sub-optimal computing complexity because the convex set, which is defined on ...

Boundary C Regularity for Variational Inequalities

In this paper we will consider the regularity problem for the following obstacle problem. (1.1) inf Z jrvj p dx among the functions in W(''), where is a bounded C 2 domain in < n (n 2) and ' and are C 2-functions deened on w i t h ', a n d 1 < p < 1 such t h a t W('') = fv 2 W 1p (() : v ; ' 2 W 1p 0 (() and v a.e. in g Remark 1.1. The C 2 assumptions on and ' are purely technical to avoid comp...

iterative methods for equilibrium problems, variational inequalities and fixed points

Extended Extragradient Methods for Generalized Variational Inequalities

where C is a nonempty closed convex subset of a real Hilbert space H and A : C → H is a nonlinear operator. This problem has been researched extensively due to its applications in industry, finance, economics, optimization, medical sciences, and pure and applied sciences; see, for instance, 1–19 and the reference contained therein. For solving the above variational inequality, Korpelevičh 20 in...