Geodesic
Spectral approximation of variationally formulated eigenvalue problems on curved domains
Electronic transactions on numerical analysis, Tome 35 (2009), pp. 69-87
This paper is concerned with the spectral approximation of variationally formulated eigenvalue problems posed on curved domains. As an example of the present theory, convergence and optimal error estimates are proved for the piecewise linear finite element approximation of the eigenvalues and eigenfunctions of a second order elliptic differential operator on a general curved three-dimensional domain.
Classification : 65N15, 65N25, 65N30
Keywords: spectral approximation, eigenvalue problems, curved domains 
@article{ETNA_2009__35__a11,
     author = {Alonso,  Ana and Russo,  Anah{\'\i} Dello},
     title = {Spectral approximation of variationally formulated eigenvalue problems on curved domains},
     journal = {Electronic transactions on numerical analysis},
     pages = {69--87},
     year = {2009},
     volume = {35},
     zbl = {1171.65075},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__35__a11/}
}
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%A Russo,  Anahí Dello
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%J Electronic transactions on numerical analysis
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Alonso,  Ana; Russo,  Anahí Dello. Spectral approximation of variationally formulated eigenvalue problems on curved domains. Electronic transactions on numerical analysis, Tome 35 (2009), pp. 69-87. http://geodesic.mathdoc.fr/item/ETNA_2009__35__a11/