Ponente
Descripción
The numerical solution of Helmholtz equation is in general a challenge, especially when the wave number is very high, something very frequent in medical applications. In this work we solve a Helmholtz equation with mixed boundary conditions that models the pressure field of a radiation problem. The numerical solution is computed using the Isogeometric Analysis (IgA), a generalization of classic Finite Element Method. In order to apply IgA approach it is necessary to obtain a function parametrizing the physical domain. The properties of this function have an impact on the precision of the approximated solution computed with IgA. The main goal of our work is to construct a rational quadratic parametrization of the domain of the radiation problem and to study the quality of this parametrization and its influence on the precision of the numerical solution of the problem.
Keywords: Helmholtz equation, NURBS parametrization
