Discretization of singular systems and error estimation
Discretization of Volterra Integral Equations of the First Kind (II).
Discretizing a backward stochastic differential equation.
Diskrete Approximation von Eigenwertproblemen. I. Qualitative Konvergenz.
Diskrete Approximation von Eigenwertproblemen. II. Konvergenzordnung.
Diskrete Approximation von Eigenwertproblemen. III. Asymptotische Entwicklungen. - Discrete Approximation of Eigenvalue-Problems. III. Asymptotic Expansions.
Dislocation dynamics - analytical description of the interaction force between dipolar loops
The interaction between dislocation dipolar loops plays an important role in the computation of the dislocation dynamics. The analytical form of the interaction force between two loops derived in the present paper from Kroupa’s formula of the stress field generated by a single dipolar loop allows for faster computation.
Displacement preconditioner for Toeplitz least squares iterations.
Displacement Structure of Generalized Inverse At,s(1,2)
Dissipation and asymptotic behaviour of some reaction-diffusion systems
Distance entre les racines d'un polynôme
Distancias elipsoidales y puntos eficientes. Un método interactivo.
En este trabajo se estudian las propiedades que relacionan las distancias elipsoidales con la generación de puntos eficientes de un problema de programación multiobjetivo. Basándonos en estas propiedades, hemos construido un algoritmo interactivo convergente.
Distinguishing and integrating aleatoric and epistemic variation in uncertainty quantification
Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the system when the distributions of some variables are known exactly, others are known only approximately, and perhaps others are not modeled as random variables at all.The main tool used is the duality between risk-sensitive integrals and relative entropy, and we...
Distribution of the power generator over a residue ring for parts of the period.
Div-curl lemma revisited: Applications in electromagnetism
Two new time-dependent versions of div-curl results in a bounded domain are presented. We study a limit of the product , where the sequences and belong to . In Theorem 2.1 we assume that is bounded in the -norm and is controlled in the -norm. In Theorem 2.2 we suppose that is bounded in the -norm and is controlled in the -norm. The time derivative of is bounded in both cases in the norm of . The convergence (in the sense of distributions) of to the product of weak limits...
Divergence boundary conditions for vector Helmholtz equations with divergence constraints
Divergence boundary conditions for vector Helmholtz equations with divergence constraints
The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given.
Divergence of FEM: Babuška-Aziz triangulations revisited
By re-examining the arguments and counterexamples in I. Babuška, A. K. Aziz (1976) concerning the well-known maximum angle condition, we study the convergence behavior of the linear finite element method (FEM) on a family of distorted triangulations of the unit square originally introduced by H. Schwarz in 1880. For a Poisson problem with polynomial solution, we demonstrate arbitrarily slow convergence as well as failure of convergence if the distortion of the triangulations grows sufficiently fast....
Divergence stability in connection with the -version of the finite element method
Divergenz bei Quadraturverfahren.