Preprint: Enriching continuous Lagrange finite element approximation spaces using neural networks

A new preprint is available online:Enriching continuous Lagrange finite element approximation spaces using neural networks Abstract This work concerns the implementation of the hybridizable discontinuous Galerkin (HDG) method to solve the linear anisotropic elastic equation in the frequency domain. First-order formulation with the compliance tensor and Voigt notation are employed…

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Preprint on HDG for elastic anisotropy

A preprint on HDG method for anisotropy is available online:Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation, arXiv preprint 2403.02862, pp. 1–34, 2024. The associated research report (79 pages) is also available on Hal: On the implementation of Hybridizable Discontinuous Galerkin discretization for…

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Preprint on helioseismology

A preprint is available online:H. Pham, F. Faucher, D. Fournier, H. Barucq, and L. Gizon. Assembling algorithm for Green’s tensors and absorbing boundary conditions for Galbrun’s equation in radial symmetry, arXiv preprint 2401.17080, pp. 1–33, 2024. Abstract Solar oscillations can be modeled by Galbrun’s equation which describes Lagrangian wave displacement in…

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Sparsified discrete wave problem involving a radiation condition on a prolate spheroidal surface

Authors : Hélène Barucq, M’Barek Fares (Cerfacs), Carola Kruse (Cerfacs), Sébastien Tordeux Research article : Hélène Barucq, M’Barek Fares, Carola Kruse, Sébastien Tordeux, Sparsified discrete wave problem involving a radiation condition on a prolate spheroidal surface, IMA Journal of Numerical Analysis, Volume 41, Issue 1, January 2021, Pages 315–343 (link to the…

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