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We describe different optimization techniques to perform the assembly of finite element matrices in Matlab and Octave, from the standard approach to recent vectorized ones, without any low level language used. We finally obtain a simple and efficient vectorized algorithm able to compete in performance with dedicated software such as FreeFEM++. The principle… (More)

We describe different optimization techniques to perform the assembly of finite element matrices in vector languages (e.g. Matlab, Octave, Python), from the standard approach to recent vectorized ones, without any low level language used. We finally obtain a simple and efficient vectorized algorithm. A comparison is given with a compiled language such as C.… (More)

The object of this paper is a one-dimensional generalized porous media equation (PDE) with possibly discontinuous coefficient β, which is well-posed as an evolution problem in L 1 (R). In some recent papers of Blanchard et alia and Barbu et alia, the solution was represented by the solution of a non-linear stochastic differential equation in law if the… (More)

- François Cuvelier, Caroline Japhet, Gilles Scarella, F Cuvelier, G Scarella, C Japhet
- 2014

Efficient Matlab codes in 2D and 3D have been proposed recently to assemble finite element matrices. In this paper we present simple, compact and efficient vectorized algorithms, which are variants of these codes, in arbitrary dimension, without the use of any lower level language. They can be easily implemented in many vector languages (e.g. The principle… (More)

- Nadia Belaribi, François Cuvelier, Francesco Russo
- 2012

The object of this paper is a multi-dimensional generalized porous media equation (PDE) with not smooth and possibly discontinuous coefficient β, which is well-posed as an evolution problem in L 1 (R d). This work continues the study related to the one-dimensional case by the same authors. One expects that a solution of the mentioned PDE can be represented… (More)

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