THE KACANOV METHOD FOR A NONLINEARVARIATIONAL INEQUALITY OF THE SECOND KIND ARISING IN ELASTOPLASTICITY
Hanweimin, Signe M. Jensen · Acta Scientiarum Naturalium Universitatis Sunyatseni · 1996
The authors first prove a convergence result on the Kacanov method for solving generalnonlineax vafiational inequalities of the second kind and then apply the Kacanov method tosolve a nonlinear variational inequality of the second kind arising in elastoplastieity. In additionto the convergence result, an a posteriori error estimate is shown for the Kacanov iterates. Ineach step of the Kacanov iteration, one has a (linear) variational inequality of the secondkind, which can he solved by uaing a regularization technique. The Kacanov iteration and the regularization technique together provide approximations which can be readily computednumerically. An a posteriori error estimate is derived for the combined effect of the Kacanoviteration and the regularization.