Speaker
Marion Darbas, Sorbonne Paris Nord University
Abstract
In this talk, I will present the application of the Multiple Trace Formulation (MTF) to time-harmonic elastic wave transmission problems. Originally developed for heterogeneous Helmholtz media, MTF reformulates the boundary value problem as a well-posed system of first-kind boundary integral equations, naturally suited for parallelization and preconditioning. The formulation introduces independent Dirichlet and traction unknowns in each subdomain, enforces Calderón identities locally, and weakly imposes transmission conditions across interfaces. I will focus on the case of a single homogeneous scatterer as a foundational step toward more complex configurations.
The derivation of the MTF will be explained in one dimension, with illustrative two-dimensional examples. I will also analyze how frequency and material contrast affect the convergence of the GMRES iterative solver, and present preliminary results on an elastic Calderón preconditioner.
This is joint work with Stéphanie Chaillat (CNRS–INRIA–ENSTA, France), Paul Escapil-Inchauspé (INRIA Chile), and Carlos Jerez-Hanckes (INRIA Chile), conducted within the framework of a French–Chilean collaboration project.