Abstract
Developments in numerical analysis in the twentieth century generated many methods for obtaining approximate solutions to partial differential equations. Compared with the finite-difference method, spectral methods, the finite-volume method, or the singularity method, the successes of the finite-element method are unquestionable, and its supremacy is quite justifiably acclaimed.
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References
G. Duvaut, Mécanique des milieux continus (Dunod, Paris, 1998)
H. Brézis, Analyse fonctionnelle, théorie et applications (Masson, Paris, 1983)
R. Dautray, J.-L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques (Masson, Paris, 1987)
M. Moussaoui, in Singularities and Constructive Methods for Their Treatment, ed. by P. Grisvard, W. Wendland, J.R. Whiteman. Sur l’approximation des solutions du problème de Dirichlet dans un ouvert avec coins. Lecture Notes in Mathematics, vol. 1121 (Springer, Berlin, 1984), p. 136
D. Euvrard, Résolution des équations aux dérivées partielles de la physique, de la mécanique et des sciences de l’ingénieur (Masson, Paris, 1994)
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Chaskalovic, J. (2014). Finite-Element Method. In: Mathematical and Numerical Methods for Partial Differential Equations. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-03563-5_2
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DOI: https://doi.org/10.1007/978-3-319-03563-5_2
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