Ponente
Descripción
In this work we discuss the numerical solution of the 2D Helmholtz equation with mixed boundary conditions. Inspired by medical applications we consider that the wavenumber in Helmholtz equation is a function of the spatial distribution of different human tissues. This introduces several numerical difficulties in the computation of the approximated solution. To overcome these challenges, we solve the radiation problem using the Isogeometric Analysis, a kind of modern generalization of the classical Finite Element Method. Our results computed using the free software GeoPDEs, shows that the isogeometric approach is a good option to obtain a realistic simulation of the acoustic wave propagation in inhomogeneous media.
Keywords. Isogeometric analysis, Helmholtz equation, inhomogeneous media.