Geodesic
Internal finite element approximation in the dual variational method for the biharmonic problem
Applications of Mathematics, Tome 30 (1985) no. 4, pp. 255-273.

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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 C0-elements. The convergence of the method is proved and an algorithm described.
DOI : 10.21136/AM.1985.104149
Classification : 31A30, 35J40, 49D25, 65E05, 65N30, 73K25
Mots-clés : conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions 
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     author = {Hlav\'a\v{c}ek, Ivan and K\v{r}{\'\i}\v{z}ek, Michal},
     title = {Internal finite element approximation in the dual variational method for the biharmonic problem},
     journal = {Applications of Mathematics},
     pages = {255--273},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {1985},
     doi = {10.21136/AM.1985.104149},
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     zbl = {0584.65068},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104149/}
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Hlaváček, Ivan; Křížek, Michal. Internal finite element approximation in the dual variational method for the biharmonic problem. Applications of Mathematics, Tome 30 (1985) no. 4, pp. 255-273. doi : 10.21136/AM.1985.104149. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104149/

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