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Newton’s Method for a Finite Element Approach to the Incompressible Navier-Stokes Equations
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The cG(1)cG(1)-method is a finite element method for solving the incompressible Navier-Stokes equations, using a splitting scheme and fixed-point iteration to resolve the nonlinear term u · ∇u. In this thesis, Newton’s method has been implemented on a formulation of the cG(1)cG(1)-method without splitting, resulting in equal results for the velocity and pressure computation, but higher computation times and slower convergence.

Place, publisher, year, edition, pages
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Computational Mathematics
URN: urn:nbn:se:umu:diva-122217OAI: diva2:937664
Available from: 2016-06-16 Created: 2016-06-15 Last updated: 2016-06-16Bibliographically approved

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Department of Mathematics and Mathematical Statistics
Computational Mathematics

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