Numerical approximation of Quasi‐Newtonian flows by ALE‐FEM |
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| Authors: | Hyesuk Lee |
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| Institution: | Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634‐0975 |
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| Abstract: | The aim of this work is to investigate the numerical approximation of a nonlinear, time‐dependent quasi‐Newtonian flow problem formulated in the framework of Arbitrary Lagrangian Eulerian method. We present some stability results and convergence analysis of finite element solutions for semidiscrete and fully discretized problems, respectively. Numerical results supporting the derived error estimate are also presented. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012 |
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| Keywords: | quasi‐Newtonian flow ALE finite elements |
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