Francesca Rapetti

According to our database, Francesca Rapetti authored at least 30 papers between 2001 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2023

Tokamak Free-Boundary Plasma Equilibrium Computations in Presence of Non-Linear Materials.

Cédric Boulbe, Blaise Faugeras, Guillaume Gros, Francesca Rapetti

J. Sci. Comput., August, 2023

Whitney edge elements and the Runge phenomenon.

Ana Alonso Rodríguez, Ludovico Bruni Bruno, Francesca Rapetti

J. Comput. Appl. Math., August, 2023

Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms.

Enrico Zampa, Ana Alonso Rodríguez, Francesca Rapetti

Adv. Comput. Math., April, 2023

2021

New degrees of freedom for high-order Whitney approximations of Darcy's flows.

Ana Alonso Rodríguez, Francesca Rapetti, Elena Zappon

Numer. Algorithms, 2021

On a generalization of the Lebesgue's constant.

Ana Alonso Rodríguez, Francesca Rapetti

J. Comput. Phys., 2021

Tokamak free-boundary plasma equilibrium computation using finite elements of class C0 and C1 within a mortar element approach.

Ali Elarif, Blaise Faugeras, Francesca Rapetti

J. Comput. Phys., 2021

2019

Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra.

Daniele A. Di Pietro, Jérôme Droniou, Francesca Rapetti

CoRR, 2019

Some remarks on spanning families and weights for high order Whitney spaces on simplices.

Ana Alonso Rodríguez, Francesca Rapetti

Comput. Math. Appl., 2019

Minimal Sets of Unisolvent Weights for High Order Whitney Forms on Simplices.

Ana Alonso Rodríguez, Ludovico Bruni Bruno, Francesca Rapetti

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

High Order Whitney Forms on Simplices and the Question of Potentials.

Francesca Rapetti, Ana Alonso Rodríguez

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018

An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations.

Marcella Bonazzoli, Victorita Dolean, Frédéric Hecht, Francesca Rapetti

Comput. Math. Appl., 2018

Dispersion analysis of triangle-based Whitney element methods for electromagnetic wave propagation.

Marcella Bonazzoli, Francesca Rapetti, Chiara Venturini

Appl. Math. Comput., 2018

2017

High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality.

Marcella Bonazzoli, Francesca Rapetti

Numer. Algorithms, 2017

Cubature versus Fekete-Gauss nodes for spectral element methods on simplicial meshes.

Richard Pasquetti, Francesca Rapetti

J. Comput. Phys., 2017

A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries.

Holger Heumann, Francesca Rapetti

J. Comput. Phys., 2017

2016

On high order finite element spaces of differential forms.

Snorre H. Christiansen, Francesca Rapetti

Math. Comput., 2016

2015

A mortar element approach on overlapping non-nested grids: Application to eddy current non-destructive testing.

Alexandra Christophe, Yann Le Bihan, Francesca Rapetti

Appl. Math. Comput., 2015

2013

Electromagnetic quasi-static models applied to transmission lines.

Francesca Rapetti

Computing, 2013

Mortar FEs on Overlapping Subdomains for Eddy Current Non Destructive Testing.

Alexandra Christophe, Francesca Rapetti, Laurent Santandrea, Guillaume Krebs, Yann Le Bihan

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012

Dispersion analysis of triangle-based spectral element methods for elastic wave propagation.

Ilario Mazzieri, Francesca Rapetti

Numer. Algorithms, 2012

On the generation of symmetric Lebesgue-like points in the triangle.

Francesca Rapetti, Alvise Sommariva, Marco Vianello

J. Comput. Appl. Math., 2012

2010

Spectral element methods on unstructured meshes: which interpolation points?

Richard Pasquetti, Francesca Rapetti

Numer. Algorithms, 2010

An overlapping mortar element approach to coupled magneto-mechanical problems.

Francesca Rapetti

Math. Comput. Simul., 2010

2009

Whitney Forms of Higher Degree.

Francesca Rapetti, Alain Bossavit

SIAM J. Numer. Anal., 2009

2007

Overlapping Schwarz Methods for Fekete and Gauss-Lobatto Spectral Elements.

Luca F. Pavarino, Elena Zampieri, Richard Pasquetti, Francesca Rapetti

SIAM J. Sci. Comput., 2007

2006

Spectral Element Methods on Unstructured Meshes: Comparisons and Recent Advances.

Richard Pasquetti, Francesca Rapetti

J. Sci. Comput., 2006

2005

A Prolongation/Restriction Operator for Whitney Elements on Simplicial Meshes.

Alain Bossavit, Francesca Rapetti

SIAM J. Numer. Anal., 2005

2003

The Mortar Edge Element Method in Three Dimensions: Application to Magnetostatics.

Frédéric Bouillault, Annalisa Buffa, Yvon Maday, Francesca Rapetti

SIAM J. Sci. Comput., 2003

Discrete Vector Potentials for Nonsimply Connected Three-Dimensional Domains.

Francesca Rapetti, François Dubois, Alain Bossavit

SIAM J. Numer. Anal., 2003

2001

A FETI Preconditioner for Two Dimensional Edge Element Approximations of Maxwell's Equations on Nonmatching Grids.

Francesca Rapetti, Andrea Toselli

SIAM J. Sci. Comput., 2001