A process of discretization by frequency of wave equations

The author presents the volume discretization method which seems particularly adapted to the numerical resolution of frequency wave equations such as the Helmholtz equation or harmonic Maxwell equations. The main idea is to use a finite number of exact solutions of the considered equation within each element. Within this framework, equations are well set, and a higher precision can be expected for solutions. The authors thus presents the new variational formulation, and then reports the study of a discrete problem