Article
MSC:
31A30,
35J40,
49D25,
65E05,
65N30,
73K25 | MR 0795986 | Zbl 0584.65068 | DOI: 10.21136/AM.1985.104149
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Keywords:
conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions
conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions
Summary:
A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with $C^0$-elements. The convergence of the method is proved and an algorithm described.
References:
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