A Sobolev gradient method for treating the steady-state incompressible Navier-Stokes equations
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AbstractThe velocity-vorticity-pressure formulation of the steady-state incompressible Navier-Stokes equations in two dimensions is cast as a nonlinear least squares problem in which the functional is a weighted sum of squared residuals. A finite element discretization of the functional is minimized by a trust-region method in which the trustregion radius is defined by a Sobolev norm and the trust-region subproblems are solved by a dogleg method. Numerical test results show the method to be effective.
2013 ◽
Vol 16
(2)
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pp. 275-292
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1991 ◽
Vol 93
(1)
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pp. 108-127
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2012 ◽
Vol 231
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pp. 4867-4884
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2016 ◽
Vol 316
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pp. 435-452
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1996 ◽
Vol 22
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pp. 1-9
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