The convergence analysis for least-squares finite element methods led to various adaptive
mesh-refinement strategies: Collective marking algorithms driven by the built-in a posteriori …

We study the approximation of the spectrum of least-squares operators arising from linear
elasticity. We consider a two-field (stress/displacement) and a three-field …

We study variants of the mixed finite element method (mixed FEM) and the first-order system
least-squares finite element (FOSLS) for the Poisson problem where we replace the load by …

We discuss the approximation of the eigensolutions associated with the Maxwell eigenvalue
problem in the framework of least-squares finite elements. We write the Maxwell curl curl …

In this paper we provide some more details on the numerical analysis and we present some
enlightening numerical results related to the spectrum of a finite element least-squares …

In this paper, the discontinuous Petrov–Galerkin approximation of the Laplace eigenvalue
problem is discussed. We consider in particular the primal and ultraweak formulations of the …

In this paper, we introduce a framework based on the residual minimization method onto
dual discontinuous-Galerkin norms for solving the eigenvalue problem of the Laplace …

We consider divergence-based high order discretizations of an L 2-based first order system
least squares formulation of a second order elliptic equation with Robin boundary …

We continue the investigation on the spectrum of operators arising from the discretization of
partial differential equations. In this paper we consider a three field formulation recently …

Existing a priori convergence results of the discontinuous Petrov–Galerkin method to solve
the problem of linear elasticity are improved. Using duality arguments, we show that higher …