Approximation variationnelle des problèmes aux limites
Annales de l'Institut Fourier, Tome 14 (1964) no. 2, pp. 345-444.

L’auteur donne un procédé convergent d’approximation systématique des solutions “faibles” d’une vaste classe de problèmes aux limites elliptiques. Il retrouve ainsi des résultats sur la stabilité et sur les phénomènes de perturbation singulière d’une part, et sur l’approximation de certains problèmes par des problèmes de Dirichlet ou de Neumann d’autre part. Les méthodes variationnelles de Galerkin et des différences finies font l’objet d’une étude plus poussée : l’auteur applique ces méthodes aux solutions des problèmes les plus généraux d’ordre 2, ainsi qu’à des problèmes de transmissions, d’élasticité et de type mêlé d’ordre 2m. Une étude des systèmes linéaires approchés est faite, et quelques résultats numériques sont donnés.

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     author = {Cea, Jean},
     title = {Approximation variationnelle des probl\`emes aux limites},
     journal = {Annales de l'Institut Fourier},
     pages = {345--444},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {14},
     number = {2},
     year = {1964},
     doi = {10.5802/aif.181},
     mrnumber = {30 #5037},
     zbl = {0127.08003},
     language = {fr},
     url = {https://www.numdam.org/articles/10.5802/aif.181/}
}
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Cea, Jean. Approximation variationnelle des problèmes aux limites. Annales de l'Institut Fourier, Tome 14 (1964) no. 2, pp. 345-444. doi : 10.5802/aif.181. https://www.numdam.org/articles/10.5802/aif.181/

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