Geodesic
Experiences with negative norm least-square methods for the Navier-Stokes equations
Electronic transactions on numerical analysis, Tome 6 (1997), pp. 44-62.

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Summary: This paper is concerned with the implementation and numerical study of a discrete negative norm least-squares method for the Navier-Stokes equations proposed in [2] and [3]. The main focus of the paper is on the algorithmic development and computational analysis of this method, including design of efficient preconditioners, numerical estimates of convergence rates, etc. Our experiments indicate that the negative norm method yields results that are in agreement with the theoretical error estimates of [3] and compare favorably with the benchmark studies of [11].
Classification : 76D05, 76D07, 65F10, 65F30
Keywords: Navier-Stokes equations, least-squares principle, finite element methods 
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     author = {Bochev, P.},
     title = {Experiences with negative norm least-square methods for the {Navier-Stokes} equations},
     journal = {Electronic transactions on numerical analysis},
     pages = {44--62},
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     volume = {6},
     year = {1997},
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     url = {http://geodesic.mathdoc.fr/item/ETNA_1997__6__a16/}
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Bochev, P. Experiences with negative norm least-square methods for the Navier-Stokes equations. Electronic transactions on numerical analysis, Tome 6 (1997), pp. 44-62. http://geodesic.mathdoc.fr/item/ETNA_1997__6__a16/