We present a FEM–BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is an impedance trace on the coupling boundary. The resulting sesquilinear form is shown to satisfy a Gårding inequality. Quasi-optimal convergence is shown for sufficiently fine meshes. Numerical examples confirm the theoretical convergence results.
Mascotto, L., Melenk, J., Perugia, I., Rieder, A. (2020). FEM–BEM mortar coupling for the Helmholtz problem in three dimensions. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 80(11), 2351-2378 [10.1016/j.camwa.2020.04.014].
FEM–BEM mortar coupling for the Helmholtz problem in three dimensions
Mascotto L.
;
2020
Abstract
We present a FEM–BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is an impedance trace on the coupling boundary. The resulting sesquilinear form is shown to satisfy a Gårding inequality. Quasi-optimal convergence is shown for sufficiently fine meshes. Numerical examples confirm the theoretical convergence results.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
