93 citations · 257 across the 5 of their papers we have counts for
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Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models
Felipe Galarce, Jean-Frédéric Gerbeau, Damiano Lombardi +1
This paper deals with the problem of building fast and reliable 3D reconstruction methods for blood flows for which partial information is given by Doppler ultrasound measurements.…
Identification of weakly coupled multiphysics problems. Application to the inverse problem of electrocardiography
Cesare Corrado, Jean-Frédéric Gerbeau, Philippe Moireau
This work addresses the inverse problem of electrocardiography from a new perspective, by combining electrical and mechanical measurements. Our strategy relies on the defini-tion o…
Approximated Lax Pairs for the Reduced Order Integration of Nonlinear Evolution Equations
Jean-Frédéric Gerbeau, Damiano Lombardi
A reduced-order model algorithm, called ALP, is proposed to solve nonlinear evolution partial differential equations. It is based on approximations of generalized Lax pairs. Contra…
Reduced-Order Modeling based on Approximated Lax Pairs
Jean-Frédéric Gerbeau, Damiano Lombardi
A reduced-order model algorithm, based on approximations of Lax pairs, is proposed to solve nonlinear evolution partial differential equations. Contrary to other reduced-order meth…
Reduced-order modeling for cardiac electrophysiology. Application to parameter identification
Muriel Boulakia, Elisa Schenone, Jean-Frédéric Gerbeau
A reduced-order model based on Proper Orthogonal Decomposition (POD) is proposed for the bidomain equations of cardiac electrophysiology. Its accuracy is assessed through electroca…
Generalized Navier Boundary Condition and Geometric Conservation Law for surface tension
J. -F. Gerbeau, T. Lelievre
We consider two-fluid flow problems in an Arbitrary Lagrangian Eulerian (ALE) framework. The purpose of this work is twofold. First, we address the problem of the moving contact li…