Publications

Time discretizations Elastodynamics Water waves Electromagnetism Asymptotic analysis Inverse Problems Data assimilation Medical application NDT application PML

49. A class of optimal virtual fields for inverse problems in elasticity
N. Chibli, M. Genet, S. Imperiale — Comptes Rendus. Mécanique, 2026

47. Hybrid FEM/IPDG semi-implicit schemes for time domain electromagnetic wave propagation in non cylindrical coaxial cables
A. Beni Hamad, S. Imperiale, P. Joly — ESAIM: Mathematical Modelling and Numerical Analysis, 2026

46. Locally implicit and stabilized explicit time schemes for transient visco-elastic wave propagation problems
V. Vasanthan, A. Imperiale, S. Imperiale — Journal of Numerical Mathematics, 2026

45. Finite element modelling for the reproduction of dynamic OCE measurements in the cornea
G. Merlini, J.-M. Allain, S. Imperiale — Journal of the Mechanics and Physics of Solids, 2026

43. Asymptotic analysis of a class of abstract stiff wave propagation problems
S. Imperiale — Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2025

42. Mathematical analysis of an observer for solving inverse source wave problem
T. Delaunay, S. Imperiale, P. Moireau — Inverse Problems and Imaging, 2025

41. Solving inverse source wave problem – from Carleman estimates to observer design
M. Boulakia, M. de Buhan, T. Delaunay, S. Imperiale, P. Moireau — Mathematical Control and Related Fields, 2025

40. Well-posedness and potential-based formulation for the propagation of hydro-acoustic waves and tsunamis
J. Dubois, S. Imperiale, A. Mangeney, J. Sainte-Marie — ESAIM: Mathematical Modelling and Numerical Analysis, 2024

39. Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation
T. Delaunay, S. Imperiale, P. Moireau — Numerische Mathematik (accepted), 2024

38. Kalman-based estimation of loading conditions from ultrasonic guided wave measurements
A. Dalmora, A. Imperiale, S. Imperiale, P. Moireau — Inverse Problems (accepted), 2024

36. Flow recovery from distal pressure in linearized hemodynamics: an optimal control approach
S. Imperiale, J. Manganotti, P. Moireau — Inverse Problems, 2023

35. Acoustic and gravity waves in the ocean: a new derivation of a linear model from the compressible Euler equation
J. Dubois, S. Imperiale, A. Mangeney, F. Bouchut, J. Sainte-Marie — Journal of Fluid Mechanics, 2023

34. An implicit–explicit time discretization for elastic wave propagation problems in plates
H. Methenni, A. Imperiale, S. Imperiale — International Journal for Numerical Methods in Engineering, 2023

33. An efficient numerical method for time domain electromagnetic wave propagation in co-axial cables
A. Beni-Hamad, G. Beck, S. Imperiale, P. Joly — Computational Methods in Applied Mathematics, 2022

32. Coupling reduced-order blood flow and cardiac models through energy-consistent strategies: modeling and discretization
J. Manganotti, F. Caforio, F. Kimmig, P. Moireau, S. Imperiale — Advanced Modeling and Simulation in Engineering Sciences, 2021

31. Construction and convergence analysis of conservative second order local time discretisation for linear wave equations
J. Chabassier, S. Imperiale — ESAIM: Mathematical Modelling and Numerical Analysis, 2021

30. Pseudo-compressibility, Dispersive Model and Acoustic Waves in Shallow Water Flows
A.-S. Bonnet-Ben Dhia, M.-O. Bristeau, E. Godlewski, S. Imperiale, A. Mangeney, J. Sainte-Marie — Recent Advances in Numerical Methods for Hyperbolic PDE Systems, 2021

29. Numerical Analysis of a Method for Solving 2D Linear Isotropic Elastodynamics with Free Boundary Condition using Potentials and Finite Elements
J. Albella Martinez, S. Imperiale, P. Joly, J. Rodriguez — Mathematics of Computation, 2021

28. Mathematical analysis of a penalisation strategy for incompressible elastodynamics
F. Caforio, S. Imperiale — Asymptotic Analysis, 2021

27. Asymptotic modelling of Skin-effects in coaxial cables
G. Beck, S. Imperiale, P. Joly — SN Partial Differential Equations and Applications, 2020

26. Mathematical modelling of acoustic radiation force in transient shear wave elastography in the heart
F. Caforio, S. Imperiale — ESAIM: Mathematical Modelling and Numerical Analysis, 2020

25. Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations
J. Chabassier, J. Diaz, S. Imperiale — ESAIM: Mathematical Modelling and Numerical Analysis, 2020

24. Apprehending the effects of mechanical deformations in cardiac electrophysiology: A homogenization approach
A. Collin, S. Imperiale, P. Moireau, J.-F. Gerbeau, D. Chapelle — Mathematical Models and Methods in Applied Sciences, 2019

23. Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
D. H. Baffet, M. J. Grote, S. Imperiale, M. Kachanovska — Journal of Scientific Computing, 2019

22. A High-Order Spectral Element Fast Fourier Transform for the Poisson Equation
F. Caforio, S. Imperiale — SIAM Journal on Scientific Computing, 2019

21. Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains
S. Imperiale, P. Moireau, A. Tonnoir — ESAIM: Control, Optimisation and Calculus of Variations, 2019

20. Mathematical and numerical study of transient wave scattering by obstacles with the Arlequin Method
J. Albella Martinez, S. Imperiale, J. Rodriguez — SIAM Journal on Numerical Analysis, 2019

19. A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation
F. Caforio, S. Imperiale — Advanced Modeling and Simulation in Engineering Sciences, 2018

18. Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements
J. Albella Martinez, S. Imperiale, P. Joly, J. Rodriguez — Journal of Scientific Computing, 2018

17. Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model
A. Collin, S. Imperiale — Mathematical Models and Methods in Applied Sciences, 2018

16. Space/Time convergence analysis of a class of conservative schemes for linear wave equations
J. Chabassier, S. Imperiale — Comptes Rendus Mathématique, 2016

15. Fourth order energy-preserving locally implicit discretization for linear wave equations
J. Chabassier, S. Imperiale — International Journal for Numerical Methods in Engineering, 2016

14. Construction and analysis of an adapted spectral finite element method to convective acoustic equations
A. Hüppe, G. Cohen, S. Imperiale, M. Kaltenbacher — Communications in Computational Physics, 2016

13. Displacement reconstructions in ultrasound elastography
G. Bal, S. Imperiale — SIAM Journal on Imaging Sciences, 2015

12. Mathematical modelling of multi conductor cables
G. Beck, S. Imperiale, P. Joly — Discrete and Continuous Dynamical Systems, 2015

11. Reconstruction of constitutive parameters in isotropic linear elasticity from noisy full-field measurements
G. Bal, C. Bellis, S. Imperiale, F. Monard — Inverse Problems, 2014

9. Perfectly matched transmission problem with absorbing layers: application to anisotropic acoustics
E. Demaldent, S. Imperiale — International Journal for Numerical Methods in Engineering, 2013

7. Introduction and study of fourth order theta schemes for linear waves equations
J. Chabassier, S. Imperiale — Journal of Computational and Applied Mathematics, 2013

6. Dynamical 1D models of passive piezoelectric sensors
C. Bellis, S. Imperiale — Mathematics and Mechanics of Solids, 2013

4. Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section
S. Imperiale, P. Joly — Advances in Applied Mathematics and Mechanics, 2012

2. Mathematical and numerical modelling of piezoelectric sensors
S. Imperiale, P. Joly — ESAIM: Mathematical Modelling and Numerical Analysis, 2012

1. Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves
G. Cohen, S. Imperiale — Communications in Computational Physics, 2012