ISSN:
1572-9109
Keywords:
prox-regularization
;
ill-posed elliptic variational inequalities
;
finite element methods
;
two-body contact problem
;
stable numerical methods
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper new methods for solving elliptic variational inequalities with weakly coercive operators are considered. The use of the iterative prox-regularization coupled with a successive discretization of the variational inequality by means of a finite element method ensures well-posedness of the auxiliary problems and strong convergence of their approximate solutions to a solution of the original problem. In particular, regularization on the kernel of the differential operator and regularization with respect to a weak norm of the space are studied. These approaches are illustrated by two nonlinear problems in elasticity theory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022243127667
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