Archivio Istituzionale della RicercaIn the framework of the discretization of advection-diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.
Order preserving SUPG stabilization for the Virtual Element formulation of advection-diffusion problems / Benedetto, M. F.; Berrone, Stefano; Borio, Andrea; Pieraccini, Sandra; Scialo', Stefano. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - STAMPA. - 311:(2016), pp. 18-40. [10.1016/j.cma.2016.07.043]
Order preserving SUPG stabilization for the Virtual Element formulation of advection-diffusion problems
BERRONE, Stefano;BORIO, ANDREA;PIERACCINI, SANDRA;SCIALO', STEFANO
2016
Abstract
In the framework of the discretization of advection-diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Péclet numbers and are in very good agreement with the expected rate of convergence.
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https://hdl.handle.net/11583/2643182
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