Jackson-type inequalities for \(h\)-\(p\) clouds and error estimates (Q2493847)
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| Language | Label | Description | Also known as |
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| English | Jackson-type inequalities for \(h\)-\(p\) clouds and error estimates |
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Jackson-type inequalities for \(h\)-\(p\) clouds and error estimates (English)
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16 June 2006
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The author is concerned with polynomial approximation in Sobolev spaces. He obtains a Jackson's type inequality for the so-called cloud functions introduced by \textit{C. A. Duarte} and \textit{J. T. Oden} [Comput. Methods Appl. Mech. Eng. 139, No.~1--4, 237--262 (1996; Zbl 0918.73328)]. The inequality is then used in order to obtain some error estimates in finite element method applied to a regularly elliptic boundary value problem.
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meshfree methods
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linear elliptic boundary value problems
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essential boundary conditions
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h-p clouds methods
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Jackson's inequalities
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error estimates
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Sobolev spaces
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