Scalable BETI for variational inequalities

Abstract

We briefly review our first results concerning the development of scalable BETI based domain decomposition methods adapted to the solution of variational inequalities such as those describing the equilibrium of a system of bodies in mutual contact. They exploit classical results on the FETI and BETI domain decomposition methods for elliptic partial differential equations and our recent results on quadratic programming. The results of the numerical solution of a semicoercive model problem are given that are in agreement with the theory and illustrate the numerical scalability of our algorithm.