Article
MSC:
49A22,
49A36,
49J20,
65N30,
65N99,
73k40,
74P99,
74S30,
93B40 | MR 0996898 | Zbl 0691.73037 | DOI: 10.21136/AM.1989.104350
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Keywords:
shape of the meridian curve; class of Lipschitz functions; axisymmetric mixed boundary value problems; four different cost functionals; approximate piecewise linear solutions; finite element technique; convergence; existence; appropriate weighted Sobolev spaces; axisymmetric elliptic problems; body of revolution; elastic equilibrium
shape of the meridian curve; class of Lipschitz functions; axisymmetric mixed boundary value problems; four different cost functionals; approximate piecewise linear solutions; finite element technique; convergence; existence; appropriate weighted Sobolev spaces; axisymmetric elliptic problems; body of revolution; elastic equilibrium
Summary:
The shape of the meridian curve of an elastic body is optimized within a class of Lipschitz functions. Only axisymmetric mixed boundary value problems are considered. Four different cost functionals are used and approximate piecewise linear solutions defined on the basis of a finite element technique. Some convergence and existence results are derived by means of the theory of the appropriate weighted Sobolev spaces.
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