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Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations

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Abstract

In this paper, the superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes Equations is discussed. The superclose property is proven for rectangular meshes; then global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results.

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Authors and Affiliations

  1. Laboratory of Computational Physics, Institute of Applied Physics, and Computational Mathematics, Beijing, 100088, China

    Huipo Liu

  2. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Ningning Yan

Authors
  1. Huipo Liu
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  2. Ningning Yan
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Correspondence to Ningning Yan.

Additional information

Communicated by Martin Stynes.

The research was supported by National Natural Science Foundation of China (No. 60474027).

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Liu, H., Yan, N. Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations. Adv Comput Math 29, 375–392 (2008). https://doi.org/10.1007/s10444-007-9054-3

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  • DOI: https://doi.org/10.1007/s10444-007-9054-3

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