On symmetrizers for Gauss methods.
On Synge-type angle condition for -simplices
The maximum angle condition of J. L. Synge was originally introduced in interpolation theory and further used in finite element analysis and applications for triangular and later also for tetrahedral finite element meshes. In this paper we present some of its generalizations to higher-dimensional simplicial elements. In particular, we prove optimal interpolation properties of linear simplicial elements in that degenerate in some way.
On testing hypotheses in the generalized Skillings-Mack random blocks setting
The testing of the null hypothesis of no treatment effect against the alternative of increasing treatment effect by means of rank statistics is extended from the classical Friedman random blocks model into an unbalanced design allowing treatments not to be applied simultaneously in each random block. The asymptotic normality of the constructed rank test statistic is proved both in the setting not allowing ties and also for models with presence of ties. As a by-product of the proofs a multiple comparisons...
On the acceleration of adaptation processes by two-step principles
On the Acceleration of Limit Periodic Continued Fractions.
On the accuracy of multigrid truncation error estimates.
On the Accuracy of Regularized Solutions to Quadratic Minimization Problems on a Half-Space, in Case of a Normally Solvable Operator
On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations
In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [3] for designing efficient numerical absorbing layers in electromagnetism. We make a mathematical analysis of this model, first via a modal analysis with standard Fourier techniques, then via energy techniques. We obtain uniform in time stability results (that make precise some results known in the literature) and state some energy decay results that illustrate the absorbing properties of the model. This last...
On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [3] for designing efficient numerical absorbing layers in electromagnetism. We make a mathematical analysis of this model, first via a modal analysis with standard Fourier techniques, then via energy techniques. We obtain uniform in time stability results (that make precise some results known in the literature) and state some energy decay results that illustrate the absorbing properties of the model. This...
On the Analysis of the Unsymmetric Successive Overrelaxation Method when Applied to p-Cyclic Matrices.
On the analytical and numerical treatment of a class of PDE's with the application to some two-valley semiconductor.
On the application of mixed finite element methods to the wave equations
On the application of Newton's and chord methods of bifurcation problems.
On the application of parallel architectures to a class of operations research problems
On the approximate solution of nonlinear singular integral equations with positive index.
On the Approximate Solution of Nonlinear Variational Inequalities.
On the Approximate Solution of Operator Equations.
On the approximate solution of some Fredholm integral equations by Newton's method.
On the approximation numbers of large Toeplitz matrices.
On the approximation of a quasilinear mixed problem