14h00 – 15h00, CPT, Amphi 5

### Regularized formulations for hyper-singular boundary integral operators

#### Tao Yin, (Université de Grenoble, Laboratoire Jean Kuntzmann)

In this talk, the Galerkin boundary element method is concerned for solving the three dimensional exterior elastic and thermoelastic wave scattering problems. New analytically accurate regularized formulations are derived for the hyper-singular boundary integral operators (BIOs) associated with the time-harmonic Navier equation and Biot system of linearized thermoelasticity. Using the derived regularized formulations, all the integrals involved in the weak forms of the hyper-singular BIOs are at most weakly-singular. In numerical implementations, all weakly-singular integrals are evaluated semi-analytically under a special local coordinate system. The accuracy of the regularized formulations is demonstrated using several numerical examples.