Geodesic
Konvergence metody konečných prvků pro okrajové problémy systému eliptických rovnic
Applications of Mathematics, Tome 14 (1969) no. 5, pp. 355-377

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MR Zbl
The finite element method is a generalized Ritz method using special admissible functions. In the paper, triangular elements and functions are considered which are linear or quadratic polynomials on each triangle. The convergence is proved for variational problems arising from second order boundary value problems. The order of accuracy of the procedure is $(s+1)/2$ in case of inhomogeneous Dirichlet conditions and $s$ in other cases ($s$ is the degree of the polynomial used).
The finite element method is a generalized Ritz method using special admissible functions. In the paper, triangular elements and functions are considered which are linear or quadratic polynomials on each triangle. The convergence is proved for variational problems arising from second order boundary value problems. The order of accuracy of the procedure is $(s+1)/2$ in case of inhomogeneous Dirichlet conditions and $s$ in other cases ($s$ is the degree of the polynomial used).
DOI : 10.21136/AM.1969.103246
Classification : 35-45
Mots-clés : numerical analysis 
Ženíšek, Alexander. Konvergence metody konečných prvků pro okrajové problémy systému eliptických rovnic. Applications of Mathematics, Tome 14 (1969) no. 5, pp. 355-377. doi: 10.21136/AM.1969.103246
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