Mixed virtual element methods for general second order elliptic problems on polygonal meshes

Author:

Beirão da Veiga Lourenço,Brezzi Franco,Marini Luisa Donatella,Russo Alessandro

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference89 articles.

1. Ahmad B., Alsaedi A., Brezzi F., Marini L.D. and Russo A., Equivalent projectors for virtual element methods.Comput. Math. Appl.66(2013) 376–391.

2. Antonietti P.F., Beirão da Veiga L., Mora D. and Verani M., A stream virtual element formulation of the Stokes problem on polygonal meshes.SIAM J. Numer. Anal.52(2014) 386–404.

3. Antonietti P.F., Bigoni N. and Verani M., Mimetic discretizations of elliptic control problems.J. Sci. Comput.56(2013) 14–27.

4. Arnold D.N., Brezzi F., Cockburn B. and Marini L.D., Unified analysis of discontinuous Galerkin methods for elliptic problems.SIAM J. Numer. Anal.39(2001) 1749–1779.

5. M. Arroyo and M. Ortiz, Local maximum-entropy approximation schemes, Meshfree methods for partial differential equations III. Vol. 57 ofLect. Notes Comput. Sci. Engrg.Springer, Berlin (2007) 1–16.

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