Dual virtual element method in presence of an inclusion
For researchers in computational geoscience, this work incrementally extends virtual element methods to handle inclusions with cut cells.
The paper studies the dual virtual element method for Darcy flow in porous media with a fully immersed inclusion, focusing on how cut cells affect numerical accuracy. Results demonstrate the approach's validity.
We consider a Darcy problem for saturated porous media written in dual formulation in presence of a fully immersed inclusion. The lowest order virtual element method is employ to derive the discrete approximation. In the present work we study the effect of cells with cuts on the numerical solution, able to geometrically handle in a more natural way the inclusion tips. The numerical results show the validity of the proposed approach.