Geodesic
High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2009), pp. 22-34

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In this paper for the finite element method for systems of degenerate elliptic equations we develop high-accuracy schemes based on multiplicative singularity detection. We prove theorems about the smoothness of a solution. Based on these theorems we estimate the error of the proposed method.
Keywords: finite element method, degenerate elliptical equation, Sobolev space. 
@article{IVM_2009_7_a2,
     author = {A. D. Lyashko and Sh. I. Tayupov and M. R. Timerbaev},
     title = {High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {22--34},
     publisher = {mathdoc},
     number = {7},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_7_a2/}
}
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A. D. Lyashko; Sh. I. Tayupov; M. R. Timerbaev. High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2009), pp. 22-34. http://geodesic.mathdoc.fr/item/IVM_2009_7_a2/