BEM-Fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction

Autor: Andreea–Paula Voinea–Marinescu, Liviu Marin, Franck Delvare

Publikováno v: Numerical Algorithms
Numerical Algorithms, Springer Verlag, 2021, 88 (4), pp.1667-1702. ⟨10.1007/s11075-021-01090-0⟩

We investigate the numerical reconstruction of the missing thermal boundary data on a part of the boundary for the steady-state heat conduction equation in anisotropic solids from the knowledge of exact or noisy Cauchy data on the remaining and acces

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fa56992ef9a5268c614e770b23e5db9
https://hal-normandie-univ.archives-ouvertes.fr/hal-03476569

A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation

Autor: Liviu Marin, Franck Delvare, Laëtitia Caillé

Publikováno v: Numerical Algorithms
Numerical Algorithms, Springer Verlag, 2019, ⟨10.1007/s11075-018-0631-y⟩

We investigate the Cauchy problem associated with the Helmholtz equation in three dimensions, namely the numerical reconstruction of the primary field (Dirichlet data) and its normal derivative (Neumann data) on a part of the boundary from the knowle

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f08e7b54b2ce0c1b7d38bdf074ac5745
https://hal.archives-ouvertes.fr/hal-02152970

Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Helmholtz equation

Autor: Franck Delvare, Laëtitia Caillé, Nathalie Michaux-Leblond, Liviu Marin

Publikováno v: International Journal of Solids and Structures
International Journal of Solids and Structures, Elsevier, 2017, 125, pp.122-133. ⟨10.1016/j.ijsolstr.2017.07.011⟩

In this paper, we combine the fading regularization method with the method of fundamental solutions (MFS) and investigate its application to the Cauchy problem for the two-dimensional Helmholtz equation. We present a numerical reconstruction of the m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1167c23aed8875fdb1f62652b51038c1
https://hal.archives-ouvertes.fr/hal-02152976

Fading regularization MFS algorithm for inverse boundary value problems in two-dimensional linear elasticity

Autor: Franck Delvare, Liviu Marin, Alain Cimetière

Publikováno v: International Journal of Solids and Structures
International Journal of Solids and Structures, Elsevier, 2016, 78-79, pp.9-20. ⟨10.1016/j.ijsolstr.2015.09.022⟩

We investigate the numerical reconstruction of the missing displacements (Dirichlet data) and tractions (Neumann data) on an inaccessible part of the boundary in the case of two-dimensional linear isotropic elastic materials from the knowledge of ove

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bed6772a1b3557ed6b03f81c5eb1bf41
https://hal.archives-ouvertes.fr/hal-02152982

Dynamic behavior of an aggregate material at simultaneous high pressure and strain rate: SHPB triaxial tests

Autor: Jean-Luc Hanus, Patrice Bailly, J. Vial, M. Biessy, Didier Picart, Franck Delvare

Publikováno v: International Journal of Impact Engineering
International Journal of Impact Engineering, 2011, 38 (2-3), pp.73-84. ⟨10.1016/j.ijimpeng.2010.10.005⟩
International Journal of Impact Engineering, Elsevier, 2011, 38 (2-3), pp.73-84. ⟨10.1016/j.ijimpeng.2010.10.005⟩

International audience; Low velocity impacts on energetic materials induce plastic deformations and sliding friction which can lead to ignition. If some ignition criteria have been proposed, the remaining difficulty is to characterize the mechanical

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1632fdbb5cc64cb8847b3e4f17ad3fa3
https://doi.org/10.1016/j.ijimpeng.2010.10.005