A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model

Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow

“…DG methods are known for their local mass conservation properties. [Riviere, 2008;Joshaghani et al, 2019]. In this section, we investigate the effect of the proposed limiters on altering local mass conservation properties.…”

A Computational Framework for Crack Propagation Along Contact Interfaces and Surfaces Under Load

“…7. We implemented a technology similar to the one used in discontinuous Galerkin [81][82][83] and discontinuous Petrov-Galerkin [84,85] approaches. However, instead of evaluating volume quantities as traces on the mesh skeleton, here they are evaluated on the boundary of the mesh as it is also done for computing traction in the Nitsche method in contact mechanics [86,87].…”

An enriched shifted boundary method to account for moving fronts

“…The construction and analysis of the proposed stabilized Finite Element scheme is based on the stabilized Continuous Galerkin (CG) and Discontinuous Galerkin (DG) schemes introduced by Hughes, Masud and co-authors (see e.g. [56,57,58]), and extended to the problem at stake in some recent articles, see for instance [59,60,61].…”

“…The previous formulations (28) and ( 31) are known to be stable for only certain choices of polynomial order of approximation. Following [56,57,58,59,60] we add two different kinds of stabilization terms in the previous formulations. The first one is called the div-div stabilization and is equal to…”