|
|
| |
| THE KACANOV METHOD FOR A NONLINEAR VARIATIONAL INEQUALITYOF THE SECOND KIND ARISING IN ELASTOPLASTICITY |
| |
Citation： |
Han Weimin,S. Jensen.THE KACANOV METHOD FOR A NONLINEAR VARIATIONAL INEQUALITYOF THE SECOND KIND ARISING IN ELASTOPLASTICITY[J].Chinese Annals of Mathematics B,1996,17(2):129~138 |
| Page view： 0
Net amount： 759 |
Authors： |
Han Weimin; S. Jensen |
Foundation： |
Project supported by the ONR grant N00014-90-J-1238 |
|
|
| Abstract： |
The authors first prove a convergence result on the
Ka\v{c}anov method for solving general nonlinear variational inequalities
of the second kind and then apply the Ka\v{c}anov method to solve a
nonlinear variational inequality of the second kind arising in elastoplasticity.
In addition to the convergence result, an a posteriori
error estimate is shown for the Ka\v{c}anov iterates.
In each step of the Ka\v{c}anov iteration, one has a (linear) variational
inequality of the second kind, which can be solved by using a regularization
technique. The Ka\v{c}anov iteration and the regularization technique
together provide approximations which can be readily computed numerically.
An a posteriori error estimate is derived for the combined effect
of the Ka\v{c}anov iteration and the regularization. |
Keywords： |
Ka\v{c}anov method, Nonlinear variational inequality
of the second kind,Convergence, Regularization, A posteriori error estimate |
Classification： |
65N12, 65N15 |
|
|
Download PDF Full-Text
|
|
|
|
