Superconvergence of a finite element method for the biharmonic equation | Zendy

Lin Jiafu | Zendy; Lin Qun | Zendy

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Superconvergence of a finite element method for the biharmonic equation

Author(s) -

Lin Jiafu,

Lin Qun

Publication year - 2002

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.10010

Subject(s) - biharmonic equation , superconvergence , mathematics , finite element method , vorticity , partial differential equation , element (criminal law) , scheme (mathematics) , mathematical analysis , law , boundary value problem , vortex , structural engineering , physics , mechanics , engineering , political science

Ciarlet‐Raviart's scheme is a finite element method for solving the mixed formulation of the biharmonic equation. So far, there has been no superconvergence for the vorticity from this method if a general rectangular mesh is used. In this article, we deal with the biquadratic elements under the uniform rectangular mesh and prove for the first time a superconvergence for the vorticity. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 420–427, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/num.10010

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