2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.NA2023★ 1 cited
Inf-sup condition and locking: Understanding and circumventing. Stokes, Laplacian, bi-Laplacian, Kirchhoff--Love and Mindlin--Reissner locking type, boundary conditions
Gilles Leborgne
The inf-sup condition, also called the Ladyzhenskaya--Babu\v ska--Brezzi (LBB) condition, ensures the existence, uniqueness and well-posedness of a saddle point problem, relative t…
physics.class-ph2023★ 2 cited
Objectivity in continuum mechanics, an introduction. Motions, Eulerian and Lagrangian variables and functions, deformation gradient, Lie derivatives, velocity-addition formula, Coriolis
Gilles Leborgne
In classical mechanics, there are two objectivities: The ``isometric objectivity'' which concerns the constitutive laws of materials once expressed in a reference frame, and the ``…
physics.class-ph2022
Virtual Power Principle: A Lie Covariant Approach. Applications to Non-Linear Elasticity, Turbulence, Visco-elasticity
Gilles P. Leborgne
A covariant formulation of the virtual power principle based on Lie derivatives is proposed. The Lie covariant approach does not require an inner product and the Cauchy deformation…