This paper develops least-squares methods for the solution of linear elastic problems in both
two and three dimensions. Our main approach is defined by simply applying the L 2 norm …

We investigate a family of isotropic volumetric-isochoric decoupled strain energies F ↦ W_
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …

This paper develops and analyzes two least-squares methods for the numerical solution of
linear, stationary incompressible Newtonian fluid flow in two and three dimensions. Both …

We study the a priori error analysis of finite element methods for Biot's consolidation model.
We consider a formulation which has the stress tensor, the fluid flux, the solid displacement …

In this article, we develop and analyze a mixed finite element method for the Stokes
equations. Our mixed method is based on the pseudostress‐velocity formulation. The …

In this paper, a least-squares virtual element method on polygonal meshes is proposed for
the stress-velocity formulation of the linear Stokes problem. The H (div)-and H 1-conforming …

The coupled problem with Stokes flow in one subdomain and a Darcy flow model in a
second subdomain is studied in this paper. Both flow problems are treated as first-order …

A least-squares mixed finite element method for the coupled problem of flow and
deformation is presented and analyzed in this paper. For the analysis, we restrict ourselves …

The pseudostress-velocity formulation of the stationary Stokes problem allows a Raviart–
Thomas mixed finite element formulation with quasi-optimal convergence and some …

A least‐squares mixed finite element method for linear elasticity, based on a stress‐
displacement formulation, is investigated in terms of computational efficiency. For the stress …