Finite element methods (FEM) have become a cornerstone in simulating the interaction between free fluid flow and flow through porous media. In the context of Stokes-Darcy flow problems, FEM ...

Finite Element Methods (FEM) have emerged as a pivotal computational tool in the simulation of incompressible flows and the Navier-Stokes equations. By discretising the domain, these techniques ...

Finite element methods for a family of systems of singular perturbation problems of a saddle point structure are discussed. The system is approximately a linear Stokes problem when the perturbation ...

The notion of a generalized finite element method is introduced. This class of methods is analyzed and their relation to mixed methods is discussed. The class of generalized finite element methods ...