Abstract
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 compatability conditions: and the divergence ice condition, we have a system with six first-order equations and six unknowns. Least-squares method performed over this extended system. The analysis shows that this method achieves optimal rates of convergence in the H1-norm as the h approaches to zero. Numerical experiences are also available.
Original language | English |
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Pages (from-to) | 1-9 |
Number of pages | 9 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 128 |
Issue number | 1-2 |
DOIs | |
State | Published - 1 Dec 1995 |