Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations (Q350761)
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scientific article; zbMATH DE number 6183153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations |
scientific article; zbMATH DE number 6183153 |
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Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations (English)
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3 July 2013
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The authors investigate the rate of convergence of the quasi-Wilson nonconforming finite element method for some equations of the form \(-\nabla \cdot (a(u)\nabla u_t)-\nabla \cdot (b(u)\nabla (u))=f(u)\), with \(u(X,t)=0\) on the boundary and \(u(X,0)=u_0(X)\). They also show the existence of an O\((h^3)\) extrapolation scheme.
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nonlinear Sobolev equations
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superconvergence
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extrapolation
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quasi-Wilson nonconforming finite element method
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