Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator
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In this thesis we consider inverse problems involving multiscale elliptic partial differential equations. The name multiscale indicates that these models are characterized by the presence of parameters which vary on different spatial scales (macroscopic, m ...
Numerical software, common in scientific computing or embedded systems, inevitably uses an approximation of the real arithmetic in which most algorithms are designed. In many domains, roundoff errors are not the only source of inaccuracy and measurement as ...
We consider the numerical approximation of the stochastic Darcy problem with log-normal permeability field and propose a novel Multi Level Monte Carlo (MLMC) approach with a control variate variance reduction technique on each level. We model the log-perme ...
Multiscale problems, such as modelling flows through porous media or predicting the mechanical properties of composite materials, are of great interest in many scientific areas. Analytical models describing these phenomena are rarely available, and one mus ...
We consider a finite element method (FEM) with arbitrary polynomial degree for nonlinear monotone elliptic problems. Using a linear elliptic projection, we first give a new short proof of the optimal convergence rate of the FEM in the L2 norm. We then deri ...
The kernel of the Cooray-Rubinstein formula in the time domain involves a modified Bessel function of order zero. In this letter, approximations of the kernel are proposed, which do not use any special function, and, hence, are able to simplify the numeric ...
Institute of Electrical and Electronics Engineers2016
Understanding the plasma dynamics in tokamaks is of fundamental importance to reliably predict the performances of future fusion devices. Because of the complex phenomena at play, state-of-the-art simulation codes are needed to investigate the plasma dynam ...
This paper studies the mismatched decoding problem for binary-input discrete memoryless channels. An example is provided for which an achievable rate based on superposition coding exceeds the Csiszar-Korner-Hui rate, thus providing a counter-example to a p ...
Institute of Electrical and Electronics Engineers2015
Currently, the suitability of centrifuge testing for capturing the thermal-induced mechanical behavior of full-scale energy piles has not been established, yet, despite their increasing worldwide development. Looking at this challenge, this paper investiga ...
The present work concerns the approximation of the solution map S associated to the parametric Helmholtz boundary value problem, i.e., the map which associates to each (real) wavenumber belonging to a given interval of interest the corresponding solution o ...