Convergence of a finite element method based on the dual variational formulation
Jaroslav Haslinger, Ivan Hlaváček (1976)
Aplikace matematiky
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Jaroslav Haslinger, Ivan Hlaváček (1976)
Aplikace matematiky
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Jaroslav Haslinger (1979)
Aplikace matematiky
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The dual variational formulation of some free boundary value problem is given and its approximation by finite element method is studied, using piecewise linear elements with non-positive divergence.
Ivan Hlaváček, Michal Křížek (1985)
Aplikace matematiky
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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 -elements. The convergence of the method is proved and an algorithm described.