Wednesday, May 4th, 2022. Time: 12 noon

Online!

Link for online session: https://meet.google.com/qjo-sttx-dgo

See video on Youtube

ABSTRACT

We propose a novel dual-primal finite element tearing and interconnecting method for nonlinear variational inequalities. The proposed method is based on a particular Fenchel–Rockafellar dual formulation of the target problem, which yields linear local problems despite the nonlinearity of the target problem. Since local problems are linear, each iteration of the proposed method can be done very efficiently compared with usual nonlinear domain decomposition methods. We prove that the proposed method is linearly convergent with the rate 1-r^{-1∕2} while the convergence rate of relevant existing methods is 1-r^{-1}, where r is proportional to the condition number of the dual operator. The spectrum of the dual operator is analyzed for the cases of two representative variational inequalities in structural mechanics: the obstacle problem and the contact problem.

SPEAKER CV

Associate Professor/Professor at the Department of Mathematical Sciences, KAIST, Daejeon (South Korea) since 2007. General Council Member, International Association of Computational Mechanics (IACM) since 2017. Member of the editorial board of the Journal of the Korean Mathematical Society. Director Global Institute for Talented Education (KAIST, Daejeon, Korea) during the period 2017-2019.

See Seminar Programme 2022