Algorithm for simultaneous adaptation and time step iterations for the electromagnetic waves propagation and heating of the human head induced by cell phone

In this paper, we propose a parallel algorithm for simultaneous adaptation and time step iterations for the solution of difficult coupled time-dependent problems. In particular, we focus on the problem of propagation of electromagnetic waves over the human head induced by cell phone antenna, coupled with the Pennes bio-heat equations modeling the heating of the human head. Our algorithm allows for utilization of multiple cores for faster solution of the time-dependent difficult problems. Each core is assigned to a single time step. We utilize hp-adaptive algorithm for the iterative solution of both Maxwell and Pennes equations, in every time step. We progress with parallel computations in subsequent time steps, by using the solutions from previous time steps with a given accuracy. At the same time, we increase the accuracy of intermediate time step solutions by performing hp-adaptive computations in parallel, in every time step

automatic hp adaptivity; finite element method; maxwell equations; pennes problem; time dependent problems

Algorithm for simultaneous adaptation and time step iterations for the electromagnetic waves propagation and heating of the human head induced by cell phone Articles