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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 12, Pages 2180–2185 (Mi zvmmf72)  
On the problem of superconvergence of finite element method algorithms

A. A. Panin

Faculty of Physics, Moscow State University, Moscow, 119992, Russia
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Abstract: The coincidence of an approximate solution to the boundary value problem for an ordinary differential equation with the exact solution at mesh nodes is proved for a certain class of the generalized finite element methods.
Key words: superconvergence, finite element method, generalized finite element method, Galerkin method, boundary value problem for a second-order ordinary differential equation.
Received: 26.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 12, Pages 2211–2216
DOI: https://doi.org/10.1134/S0965542508120105
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. A. Panin, “On the problem of superconvergence of finite element method algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2180–2185; Comput. Math. Math. Phys., 48:12 (2008), 2211–2216
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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