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CLC number: O241.82
On-line Access: 2024-08-27
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FINITE VOLUME METHOD BASED ON THE CROUZEIX-RAVIART ELEMENT FOR THE STOKES EQUATION
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LI Da-ming. FINITE VOLUME METHOD BASED ON THE CROUZEIX-RAVIART ELEMENT FOR THE STOKES EQUATION[J]. Journal of Zhejiang University Science A, 2001, 2(2): 165-169.
@article{title="FINITE VOLUME METHOD BASED ON THE CROUZEIX-RAVIART ELEMENT FOR THE STOKES EQUATION",
author="LI Da-ming",
journal="Journal of Zhejiang University Science A",
volume="2",
number="2",
pages="165-169",
year="2001",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2001.0165"
}
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%A LI Da-ming
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2001.0165
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A1 - LI Da-ming
J0 - Journal of Zhejiang University Science A
VL - 2
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SP - 165
EP - 169
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Y1 - 2001
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2001.0165
Abstract: The author provides a new discretization method-the finite volume method(FVM). For the stokes equation the velocity space is approximated by the nonconforming linear element based on the dual partition and the pressure by the piecewise constant based on the primal triangulation. Under the suitable smoothness of the solution, the optimal convergence rate O(h) is obtained, where h denotes the parameter of the space discretization.
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