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…

Continue reading

Absorbing Boundary Conditions for the Convected Helmholtz Equation

Authors : Hélène Barucq, Nathan Rouxelin (Former PhD student of Makutu), Sébastien Tordeux Article published in : Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods, Journal of Computational Physics, Volume 468, 2022, (link to the journal) Many wave propagation problems are set in unbounded…

Continue reading

Unstructured Isogeometric Analysis for time- and frequency-domain wave propagation

We have used unstructured (simplex) splines to formulate an unstructured version of isogeometric analysis. The basis functions are built from an underlying point cloud, and not on a mesh, unlike standard finite elements (FE). The basis functions are smoother than the usual FE basis, and their regularity can be adapted…

Continue reading