In this paper we discuss spectral properties of operators associated with the least-squares finite-element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate $L^2$ error estimates. A priori and a posteriori estimates are proved
In this dissertation we study the convergence properties of a finite element approximation to a four...
The paper is devoted to the finite element analysis of second order elliptic eigenvalue problems in ...
The paper is devoted to the finite element analysis of second order elliptic eigenvalue problems in ...
AbstractA theoretical framework for the least squares solution of first order elliptic systems is pr...
We study the approximation of the spectrum of least-squares operators arising from linear elasticity...
We provide a priori error estimates for variational approximations of the ground state eigenvalue an...
We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squa...
We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squa...
. This paper develops a least-squares functional that arises from recasting general second-order uni...
AbstractA least squares finite element scheme for a boundary value problem associated with a second-...
Abstract. This paper is concerned with the spectral approximation of variationally formulated eigenv...
In this paper we provide some more details on the numerical analysis and we present some enlightenin...
In this dissertation we study the convergence properties of a finite element approximation to a four...
In this paper we discuss some aspects related to the practical implementation of a method that has b...
Eigenvalue problems with elliptic operators $L$ on a domain $G \subset {\mathbb{R}}^2$ are considere...
In this dissertation we study the convergence properties of a finite element approximation to a four...
The paper is devoted to the finite element analysis of second order elliptic eigenvalue problems in ...
The paper is devoted to the finite element analysis of second order elliptic eigenvalue problems in ...
AbstractA theoretical framework for the least squares solution of first order elliptic systems is pr...
We study the approximation of the spectrum of least-squares operators arising from linear elasticity...
We provide a priori error estimates for variational approximations of the ground state eigenvalue an...
We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squa...
We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squa...
. This paper develops a least-squares functional that arises from recasting general second-order uni...
AbstractA least squares finite element scheme for a boundary value problem associated with a second-...
Abstract. This paper is concerned with the spectral approximation of variationally formulated eigenv...
In this paper we provide some more details on the numerical analysis and we present some enlightenin...
In this dissertation we study the convergence properties of a finite element approximation to a four...
In this paper we discuss some aspects related to the practical implementation of a method that has b...
Eigenvalue problems with elliptic operators $L$ on a domain $G \subset {\mathbb{R}}^2$ are considere...
In this dissertation we study the convergence properties of a finite element approximation to a four...
The paper is devoted to the finite element analysis of second order elliptic eigenvalue problems in ...
The paper is devoted to the finite element analysis of second order elliptic eigenvalue problems in ...
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