Least-Squares Mixed Finite Element Method for a Class of Stokes Equation

Gu Haiming; Yang Danping; Sui Shulin; Liu Xinmin

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(5): 501-510

Gu Haiming, Yang Danping, Sui Shulin, Liu Xinmin. Least-Squares Mixed Finite Element Method for a Class of Stokes Equation[J]. Applied Mathematics and Mechanics, 2000, 21(5): 501-510.

Citation:

Gu Haiming, Yang Danping, Sui Shulin, Liu Xinmin. Least-Squares Mixed Finite Element Method for a Class of Stokes Equation[J]. Applied Mathematics and Mechanics, 2000, 21(5): 501-510.

Citation:

Gu Haiming, Yang Danping, Sui Shulin, Liu Xinmin. Least-Squares Mixed Finite Element Method for a Class of Stokes Equation[J]. Applied Mathematics and Mechanics, 2000, 21(5): 501-510.

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Least-Squares Mixed Finite Element Method for a Class of Stokes Equation

1.
Qingdao Institute of Chemical Technology, Qingdao 266042, P. R. China;
2.
Department of Mathematics, Shandong University, Jinan 250100, P. R. China

Received Date: 1998-09-01
Rev Recd Date: 2000-01-06
Publish Date: 2000-05-15

Abstract

Abstract

A least-squares mixed finite element method was formulated for a class of Stokes equations in two dimensional domains. The steady state and the time-dependent Stokes' equations were considered. For the stationary equation, optimal L² and H¹ -error estimates are derived under the standard regularity assumption on the finite element partition(the LBB-condition is not required). For the evolutionary equation, optimal L² estimates are derived under the conventional Raviart-Thomas spaces.
- Least squares,
- mixed finite element method,
- error estimates

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References(11)

References

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