Einschließung inverser Elemente durch Fixpunktverfahren.
Einschließungsaussagen bei Differentialoperatoren zweiter Ordnung durch punktweise Ungleichungen.
Einschliessungsaussagen für Differentialoperatoren vierter Ordnung und ein Verfahren zur Berechnung von Schrankenfunktionen.
Einschließungsaussagen für gewöhnliche Differentialoperatoren. -Range-Domain Implications for Ordinary Differential Operators.
EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit
In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method...
El problema de Beherens-Fisher en la investigación biomédica. Análisis crítico de un estudio clínico mediante simulación.
En el artículo se hace una revisión del problema de Behrens-Fisher, discutiendo los fundamentos inferenciales asociados a la dificultad de su resolución y exponiendo las soluciones prácticas más comunes, juntamente con una nueva solución basada en conceptos de geometría diferencial. A continuación, se realiza un estudio crítico de una investigación biomédica en donde las verdaderas probabilidades de error son distintas de las supuestas debido a que se ignoran probables diferencias entre las varianzas....
Elastic wave propagation in parallel: the Huygens' approach.
The use of parallel computers makes it feasible to simulate elastic waves throughout large heterogeneous structures, and new domain decomposition methods can be used to increase their efficiency and decrease the computing time spent in the simulation. In this paper we introduce a simple parallel algorithm for the propagation of elastic waves in complex heterogeneous media after a finite element discretization. This method performs more efficiently than classic domain decomposition techniques based...
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields
The electrowetting process is commonly used to handle very small amounts of liquid on a solid surface. This process can be modelled mathematically with the help of the shape optimization theory. However, solving numerically the resulting shape optimization problem is a very complex issue, even for reduced models that occur in simplified geometries. Recently, the second author obtained convincing results in the 2D axisymmetric case. In this paper, we propose and analyze a method that is suitable...
Elementare Fehlerdarstellung für Abteilungen bei der Hermite-Interpolation.
Elementi Finiti Misti e Volumi Finiti per la soluzione del problema di flusso e trasporto di contaminanti radioattivi pesanti in mezzi porosi
Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
Éléments finis et l'estimation de l'erreur intérieur de la convergence
Éléments finis et problèmes elliptiques dégénérés
Éléments finis mixtes incompressibles pour l'équation de Stokes dans IR3 .
Elements of uncertainty modeling
The goal of this contribution is to introduce some approaches to uncertainty modeling in a way accessible to non-specialists. Elements of the Monte Carlo method, polynomial chaos method, Dempster-Shafer approach, fuzzy set theory, and the worst (case) scenario method are presented.
Elimination on sparse symmetric systems of a special structure
Elliptic equations of higher stochastic order
This paper discusses analytical and numerical issues related to elliptic equations with random coefficients which are generally nonlinear functions of white noise. Singularity issues are avoided by using the Itô-Skorohod calculus to interpret the interactions between the coefficients and the solution. The solution is constructed by means of the Wiener Chaos (Cameron-Martin) expansions. The existence and uniqueness of the solutions are established under rather weak assumptions, the main of which...
Elliptic grids with nearly uniform cell area and line spacing.
Embedding and a priori wavelet-adaptivity for Dirichlet problems
Embedding and a priori wavelet-adaptivity for Dirichlet problems
The accuracy of the domain embedding method from [A. Rieder, Modél. Math. Anal. Numér.32 (1998) 405-431] for the solution of Dirichlet problems suffers under a coarse boundary approximation. To overcome this drawback the method is furnished with an a priori (static) strategy for an adaptive approximation space refinement near the boundary. This is done by selecting suitable wavelet subspaces. Error estimates and numerical experiments validate the proposed adaptive scheme. In contrast to similar,...