Geodesic
Finite element schemes of a high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 63-75 
Sh. I. Tayupov; M. R. Timerbaev. Finite element schemes of a high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 63-75. http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a5/
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     author = {Sh. I. Tayupov and M. R. Timerbaev},
     title = {Finite element schemes of a~high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     year = {2006},
     volume = {148},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a5/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The purpose of the paper is construction of a finite element schemes with a high approximation order for two-pointed heterogeneous boundary-value problem with degenerated coefficients, based on a multiplicative allocation of singularities. It is proved, that this method has optimal order of convergence rate.

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