Geodesic
Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method
Applications of Mathematics, Tome 59 (2014) no. 4, pp. 361-370 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper presents a superconvergence result based on projection method for stabilized finite element approximation of the Stokes eigenvalue problem. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares method. The paper complements the work of Li et al. (2012), which establishes the superconvergence result of the Stokes equations by the stabilized finite element method. Moreover, numerical tests confirm the theoretical analysis.
This paper presents a superconvergence result based on projection method for stabilized finite element approximation of the Stokes eigenvalue problem. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares method. The paper complements the work of Li et al. (2012), which establishes the superconvergence result of the Stokes equations by the stabilized finite element method. Moreover, numerical tests confirm the theoretical analysis.
DOI : 10.1007/s10492-014-0061-7
Classification : 65B99, 65N25, 65N30, 76D07
Keywords: Stokes eigenvalue problem; stabilized method; lowest equal-order pair; projection method; superconvergence 
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     author = {Huang, Pengzhan},
     title = {Superconvergence of a stabilized approximation for the {Stokes} eigenvalue problem by projection method},
     journal = {Applications of Mathematics},
     pages = {361--370},
     year = {2014},
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Huang, Pengzhan. Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method. Applications of Mathematics, Tome 59 (2014) no. 4, pp. 361-370. doi: 10.1007/s10492-014-0061-7

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