Enhanced Mass Conservation in Least-Squares Methods for Navier-Stokes Equations

@article{Heys2009EnhancedMC,
  title={Enhanced Mass Conservation in Least-Squares Methods for Navier-Stokes Equations},
  author={Jeffrey J. Heys and Eunjung Lee and Thomas A. Manteuffel and Stephen F. McCormick and John W. Ruge},
  journal={SIAM J. Scientific Computing},
  year={2009},
  volume={31},
  pages={2303-2321}
}
There are many applications of the least-squares finite element method for the numerical solution of partial differential equations because of a number of benefits that the leastsquares method has. However, one of most well-known drawbacks of the least-squares finite element method is the lack of exact discrete mass conservation, in some contexts, due to the fact that leastsquares method minimizes the continuity equation in L norm. In this paper, we explore the reason of the mass loss and… CONTINUE READING

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