Almost optimal approximations of compact sets in Hilbert space
Alpha Well-Posedness, Alpha Stability, and the Matrix Theorems of H.-O. Kreiss.
Alternating direction Galerkin method with capacitance matrix for the parabolic problem with natural boundary condition
Alternating Iteration and Elliptic Variational Inequalities.
Alternating Methods for Sets of Linear Equations.
Alternating projected Barzilai-Borwein methods for nonnegative matrix factorization.
Alternation for Best Spline Approximations
Alternative models in precipitation analysis.
Altman's methods revisited
We discuss two different methods of Altman for solving systems of linear equations. These methods can be considered as Krylov subspace type methods for solving a projected counterpart of the original system. We discuss the link to classical Krylov subspace methods, and give some theoretical and numerical results on their convergence behavior.
Amélioration de la stabilité numérique d'algorithmes de résolution de programmes linéaires à matrices de contraintes clairsemées
A-monotone nonlinear relaxed cocoercive variational inclusions
Based on the notion of A - monotonicity, a new class of nonlinear variational inclusion problems is presented. Since A - monotonicity generalizes H - monotonicity (and in turn, generalizes maximal monotonicity), results thus obtained, are general in nature.
An a posteriori error analysis for dynamic viscoelastic problems
In this paper, a dynamic viscoelastic problem is numerically studied. The variational problem is written in terms of the velocity field and it leads to a parabolic linear variational equation. A fully discrete scheme is introduced by using the finite element method to approximate the spatial variable and an Euler scheme to discretize time derivatives. An a priori error estimates result is recalled, from which the linear convergence is derived under suitable regularity conditions. Then, an a posteriori...
An a posteriori error analysis for dynamic viscoelastic problems
In this paper, a dynamic viscoelastic problem is numerically studied. The variational problem is written in terms of the velocity field and it leads to a parabolic linear variational equation. A fully discrete scheme is introduced by using the finite element method to approximate the spatial variable and an Euler scheme to discretize time derivatives. An a priori error estimates result is recalled, from which the linear convergence is derived under suitable regularity conditions. Then, an a posteriori error...
An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
We present an a posteriori error analysis of adaptive finite element approximations of distributed control problems for second order elliptic boundary value problems under bound constraints on the control. The error analysis is based on a residual-type a posteriori error estimator that consists of edge and element residuals. Since we do not assume any regularity of the data of the problem, the error analysis further invokes data oscillations. We prove reliability and efficiency of the error estimator...
An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
We present an a posteriori error analysis of adaptive finite element approximations of distributed control problems for second order elliptic boundary value problems under bound constraints on the control. The error analysis is based on a residual-type a posteriori error estimator that consists of edge and element residuals. Since we do not assume any regularity of the data of the problem, the error analysis further invokes data oscillations. We prove reliability and efficiency of the error estimator...
An a posteriori error estimate for the Stokes-Brinkman problem in a polygonal domain
We derive a residual based a posteriori error estimate for the Stokes-Brinkman problem on a two-dimensional polygonal domain. We use Taylor-Hood triangular elements. The link to the possible information on the regularity of the problem is discussed.
An a posteriori Error Estimation of the Rayleigh-Ritz Eigenvalues.
An Abbreviated Numerical Scheme for Linear Symmetric Hyperbolic Equations, n ... 2.
An abstract version of the concentration compactness principle.
We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.
An Accelerated Bisection Method for the Calculation of Eigenvalues of a Symmetric Tridiagonal Matrix.