Mixed formulation of elliptic variational inequalities and its approximation
Applications of Mathematics, Tome 26 (1981) no. 6, pp. 462-475
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The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian $\Cal 2$ on a certain convex set $Kx \ \Lambda$. Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.
The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian $\Cal 2$ on a certain convex set $Kx \ \Lambda$. Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.
DOI : 10.21136/AM.1981.103936
Classification : 35J20, 49A29, 49J40, 65K10
Keywords: elliptic variational inequalities; mixed formulation; saddle point problem
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Haslinger, Jaroslav. Mixed formulation of elliptic variational inequalities and its approximation. Applications of Mathematics, Tome 26 (1981) no. 6, pp. 462-475. doi: 10.21136/AM.1981.103936

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