Curved triangular finite $C^m$-elements

in a domain with a smooth boundary by the finite element method. The effect of numerical integration is studied, sufficient conditions for the existence and uniqueness of the approximate solution are presented and the rate of convergence is estimated. The rate of convergence is the same as in the case of polygonal domains when the generalized Bell's

C^{m}

-elements are used.

MR Zbl

DOI : 10.21136/AM.1978.103761

Classification : 35A35, 35J40, 65M99, 65N30, 65N99
Mots-clés : generalized Bell’s

C^{m}

-elements; approximate solution; rate of convergence

@article{10_21136_AM_1978_103761,
     author = {\v{Z}en{\'\i}\v{s}ek, Alexander},
     title = {Curved triangular finite $C^m$-elements},
     journal = {Applications of Mathematics},
     pages = {346--377},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {1978},
     doi = {10.21136/AM.1978.103761},
     mrnumber = {0502072},
     zbl = {0404.35041},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103761/}
}

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Ženíšek, Alexander. Curved triangular finite $C^m$-elements. Applications of Mathematics, Tome 23 (1978) no. 5, pp. 346-377. doi : 10.21136/AM.1978.103761. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103761/

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