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The Obstacle Problem for the Equilibrium of a Shallow Shell Reinforced with Stiffening Ribs
Author(s) -
Haslinger J.,
Lovíšek J.
Publication year - 1982
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19820620105
Subject(s) - obstacle , variational inequality , obstacle problem , stiffening , uniqueness , finite element method , shell (structure) , mathematics , mathematical optimization , mathematical analysis , structural engineering , engineering , civil engineering , political science , law
The paper deals with the existence and uniqueness of a solution of a variational inequality for the obstacle problem of the shallow shell reinforced with stiffening ribs. The obstacle problem is the formulated as a direct variational problem. Next we construct a finite element approximation of the obstacle problem, and we prove an error estimate of the approximation.