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. 
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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/

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