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In this Note we derive a posteriori error estimates for a multiscale method, the so-called heterogeneous multiscale method, applied to elliptic homogenization problems. The multiscale method is based on a macro-to-micro formulation. The macroscopic method ...
In this paper we deal with reduced basis techniques applied to Stokes equations. We consider domains with different shape, parametrized by affine and non-affine maps with respect to a reference domain. The proposed method is ideally suited for the repeated ...
We give a geometric characterization of compact Riemann surfaces admitting orientation-reversing involutions with fixed points. Such surfaces are generally called real surfaces and can be represented by real algebraic curves with non-empty real part. We sh ...
The segmentation of the early Drosophila embryo has proven to be a fertile ground for experimentalists and modellers. Until now, most models have assumed a one-dimensional geometry along a portion of the anterior-posterior axis, motivated by the nearly rot ...
Drainage curves (plots of the non-wetting fluid saturation versus applied pressure) for infiltration of SiC particle preforms with Al and Al-12.2 at.% Si are measured at 1023 K (750 degrees C) with a pressure infiltration apparatus adapted for direct track ...
The aim of this project is the analysis of different approaches for curve and surface reconstruction and the development of a related MATLAB library. We initially study the Lagrange polynomial interpolation, then the Bezier, the B-splines and the NURBS cur ...
We report on the characterization of long-range surface plasmon waveguide bends at telecom wavelengths (lambda=1550 nm). The structures consist of a thin Au stripe embedded in a transparent polymer film. When the polymer thickness is larger than the latera ...
In this work we apply reduced basis methods to parametrized airfoils configurations to study inviscid potential, thermal and viscous flows. Parametrization includes geometry, ground effect and airfoils interaction. ...
We consider the map T-alpha,T-beta(x) := beta x + alpha mod 1, which admits a unique probability measure of maximal entropy. For x is an element of [0, 1], we show that the orbit of x is mu(alpha,beta)-normal for almost all (alpha, beta) is an element of [ ...
When a mixed self-assembled monolayer forms on the curved surface of a gold nanoparticle two opposed point defects must form for topological reasons. Here we present a thermodynamic study proving that these defects are more reactive than other sites on the ...
