Volume 6, pp. 44-62, 1997.

Experiences with negative norm least-square methods for the Navier-Stokes equations

P. Bochev

Abstract

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].

Full Text (PDF) [324 KB]

Key words

Navier-Stokes equations, least-squares principle, finite element methods.

AMS subject classifications

76D05, 76D07, 65F10, 65F30.

Links to the cited ETNA articles

[8]Vol. 3 (1995), pp. 150-159 Zhiqiang Cai, Thomas A. Manteuffel, and Stephen F. McCormick: First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity

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