Mathematics – Numerical Analysis
Scientific paper
2011-03-14
Mathematics
Numerical Analysis
22 pages, 4 figures
Scientific paper
We introduce a variational multiscale closure modeling strategy for the numerical stabilization of proper orthogonal decomposition reduced-order models of convection-dominated equations. As a first step, the new model is analyzed and tested for convection-dominated convection-diffusion equations. The numerical analysis of the finite element discretization of the model is presented. Numerical tests show the increased numerical accuracy over the standard reduced-order model and illustrate the theoretical convergence rates.
Iliescu Traian
Wang Zhu
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