Cálculo de Dosimetría Mediante Elementos Finitos con Adaptabilidad Automática hp en Tres Dimensiones

Abstract

In this communication the effect of the electromagnetic radiation on in vitro cell cultures is analyzed using a self-adaptive hp-Finite Element Method (hp-FEM) in three dimensions. Computer dosimetry is a challenging problem as it involves complex geometries with high contrast electromagnetic materials. hp-FEM produces exponential convergence rates in terms of the energy-norm error of the solution against the problem size (number of degrees of freedom), even in the presence of singularities. Thus, accurate electromagnetic solutions of complex problems, as computer dosimetry for in vitro experiments, can be obtained. Furthermore, the use of self-adaptive techniques provides solutions, with a user pre-specified degree of accuracy from a initial very coarse mesh without any a priori knowledge of the problem solution