Research Group:
Speaker:
L. Donatella Marini
Institution:
University of Pavia, IMATI-CNR
Schedule:
Monday, July 13, 2015 - 15:15 to 16:15
Location:
A-128
Abstract:
We apply the Virtual Element approach (see [1],[2]) for the discretization of advection-diffusion-reaction problems with variable coefficients on polygonal grids. We analyze both the primal and the mixed formulation, and prove optimal convergence results in H^1 and in L^2. We provide numerical tests confirming the theoretical results.
REFERENCES
[1] Beirão da Veiga L., Brezzi F., Cangiani A., Manzini G., Marini L.D., Russo A. (2013) Basic Principles of Virtual Element Methods. Math. Models Methods Appl. Sci. 23(1): 199-214.
[2] Ahmed B., Alsaedi A., Brezzi F., Marini L.D., Russo A. (2013) Equivalent Projectors for Virtual Element Methods. Comput. Math. Appl. 66(3): 376-391.