標題: A least-squares finite element method for incompressible flow in stress-velocity-pressure version
作者: Chang, CL
Yang, SY
Hsu, CH
交大名義發表
National Chiao Tung University
公開日期: 1-Dec-1995
摘要: In this paper we are concerned with the incompressible flow in 2-D. Introducing additional variables of derivatives of velocity, which are called stresses here, the second-order dynamic equations are reduced into a first-order system with variables of stress, velocity and pressure. Combining the compatibility condition and the divergence free condition, we have a system with six first-order equations and six unknowns. Least-squares method is performed over this extended system. The analysis shows that this method achieves optimal rates of convergence in the H-1-norm as the h approaches to zero. Numerical experiences are also available.
URI: http://hdl.handle.net/11536/1625
ISSN: 0045-7825
期刊: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume: 128
Issue: 1-2
起始頁: 1
結束頁: 9
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