Francesca Rapetti
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Parameter Identification for a Reduced Transport Model in Fusion Plasma Open
Two‐dimensional transport codes for the simulation of tokamak plasmas are simplified versions of full 3D fluid models, where plasma turbulence is averaged out. One of the main challenges in such reduced models is to accurately reconstruct …
On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion Open
Heat transfer in magnetically confined plasmas is characterized by extremely high anisotropic diffusion phenomena. At the core of a magnetized plasma, the heat conductivity coefficients in the parallel and perpendicular directions of the i…
Numerical simulation of tokamak plasma equilibrium evolution Open
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Weights for moments’ geometrical localization: a canonical isomorphism Open
This paper deals with high order Whitney forms. We define a canonical isomorphism between two sets of degrees of freedom. This allows to geometrically localize the classical degrees of freedom, the moments, over the elements of a simplicia…
Basis for high order divergence-free finite element spaces Open
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Coupling finite elements of class C1 on composite curved meshes for second order elliptic problems Open
Summary Finite elements of class are suitable for the computation of magnetohydrodynamics instabilities in tokamak plasmas. In addition, isoparametric approximations allow for a precise alignment of the mesh with the magnetic field line. M…
Construction of a spanning tree for high‐order edge elements Open
The well‐known tree–cotree gauging method for low‐order edge finite elements is extended to high‐order approximations, within the first family of Nédélec finite element spaces. The key point in this method is the identification of degrees …
Asymptotic behaviour, non-local dynamics and data assimilation tailoring of the reduced κ − ε model to address turbulent transport of fusion plasmas Open
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On the Tree Gauge in Magnetostatics Open
We recall the classical tree-cotree technique in magnetostatics. (1) We extend it in the frame of high-order finite elements in general domains. (2) We focus on its connection with the question of the invertibility of the final algebraic s…
Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements Open
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On the tree gauge in magnetostatics Open
We recall the classical tree-cotree technique in magnetostatics. (1) We extend it in the frame of high-order finite elements in general domains. (2) We focus on its connection with the question of the invertibility of the final algebraic s…
View article: Monitoring lung impedance changes during long-term ventilator-induced lung injury ventilation using electrical impedance tomography
Monitoring lung impedance changes during long-term ventilator-induced lung injury ventilation using electrical impedance tomography Open
The observed shifts started earlier for higher PEEP levels. Changes of EELI could be precisely monitored over a period of 48 h by tdEIT on pigs.
Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra Open
In this work, merging ideas from compatible discretisations and polyhedral methods, we construct novel fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra. The spaces and operators that appear in these…
A tree-cotree splitting for the construction of divergence-free finite elements: the high-order case Open
We extend, to Raviart-Thomas finite elements of any degree, two methods for the construction of basis of the space of divergence-free functions that are well established in the case of degree one. The first one computes directly a basis of…
View article: Positive End-expiratory Pressure and Mechanical Power
Positive End-expiratory Pressure and Mechanical Power Open
EDITOR’S PERSPECTIVE What We Already Know about This Topic Positive end-expiratory pressure protects against ventilation-induced lung injury by improving homogeneity of ventilation, but positive end-expiratory pressure contributes to the m…
View article: Extracorporeal CO2 Removal: The Minimally Invasive Approach, Theory, and Practice*
Extracorporeal CO2 Removal: The Minimally Invasive Approach, Theory, and Practice* Open
Objectives: Minimally invasive extracorporeal CO 2 removal is an accepted supportive treatment in chronic obstructive pulmonary disease patients. Conversely, the potential of such technique in treating acute respiratory distress syndrome p…
Finite element methods on composite meshes for tuning plasma equilibria in tokamaks Open
The fundamental concept of magnetically confined nuclear fusion devices is the magnetohydrodynamic (MHD) equilibrium: the pressure gradient due to highly energetic charged particles is balanced by the Lorenz force due to strong magnetic fi…
Cubature Points Based Triangular Spectral Elements: An Accuracy Study Open
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