Geodesic
Numerical analysis of the general biharmonic problem by the finite element method
Applications of Mathematics, Tome 27 (1982) no. 5, pp. 352-374

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The present paper deals with solving the general biharmonic problem by the finite element method using curved triangular finit $C^1$-elements introduced by Ženíšek. The effect of numerical integration is analysed in the case of mixed boundary conditions and sufficient conditions for the uniform $V_{Oh}$-ellipticity are found.
The present paper deals with solving the general biharmonic problem by the finite element method using curved triangular finit $C^1$-elements introduced by Ženíšek. The effect of numerical integration is analysed in the case of mixed boundary conditions and sufficient conditions for the uniform $V_{Oh}$-ellipticity are found.
DOI : 10.21136/AM.1982.103982
Classification : 31A30, 35J40, 65N15, 65N30
Keywords: curved triangular finite elements; mixed boundary conditions; biharmonic problem; Bell’s elements; Error bounds 
Hřebíček, Jiří. Numerical analysis of the general biharmonic problem by the finite element method. Applications of Mathematics, Tome 27 (1982) no. 5, pp. 352-374. doi: 10.21136/AM.1982.103982
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