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math.NA2024
Explicit T -coercivity for the Stokes problem: a coercive finite element discretization
Patrick Ciarlet, Erell Jamelot
Using the T-coercivity theory as advocated in [Chesnel, Ciarlet, T -coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients…
math.AP2024
Analysis of time-harmonic electromagnetic problems with elliptic material coefficients
Patrick Ciarlet, Axel Modave
We consider time-harmonic electromagnetic problems with material coefficients represented by elliptic fields, covering a wide range of complex and anisotropic material media. The p…
math.NA2024
Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems
Eric T. Chung, Patrick Ciarlet, Xingguang Jin +1
The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the coefficient can assume positiv…