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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 346, Pages 149–159
(Mi znsl93)
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This article is cited in 2 scientific papers (total in 2 papers)
A finite element method for solving singular boundary-value problems
M. N. Yakovlev St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
It is proved that under certain assumptions on the functions $q(t)$ and $f(t)$, there is one and only one function $u_0(t)\in\overset{o}W{}^1_2(a,b)$ at which the functional
$$
\int^b_a[u'(t)]^2 dt+\int^b_a q(t)u^2(t)dt-2\int^b_a f(t)u(t)dt
$$
attains its minimum. An error bound for the finite element method for computing the function $u_0(t)$ in terms of $q(t)$, $f(t)$, and the meshsize $h$ is presented.
Received: 31.05.2007
Citation:
M. N. Yakovlev, “A finite element method for solving singular boundary-value problems”, Computational methods and algorithms. Part XX, Zap. Nauchn. Sem. POMI, 346, POMI, St. Petersburg, 2007, 149–159; J. Math. Sci. (N. Y.), 150:2 (2008), 1998–2004
Linking options:
https://www.mathnet.ru/eng/znsl93 https://www.mathnet.ru/eng/znsl/v346/p149
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Abstract page: | 298 | Full-text PDF : | 104 | References: | 39 |
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