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…
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…
We did benchmark Full Waveform Inversion (FWI) tests on a synthetic model featuring 2 holes (tunnels): Synthetic data generated by Hou10ni in the time domain and FWI performed by Hawen in the frequency domain.
We have designed an algorithm to adapt the mesh between two iterations of a time domain full-waveform inversion. Once the model (representing the physical parameters) is updated, we use it to build a size map and we construct a new mesh thanks to MMG.
