Development of a 3-Dimensional Simulator for Hyperthermia with Finite Difference Method

Abstract

We had developed a 2-dimensional and a 3-dimensional simulator with Finite Element Method (FEM). We have studied simulation for hyperthermia with those simulators, then some results were reported. But dealing with a 3-dimensional model, that 3-dimensional simulator needs a long time and a plenty of memory to compute electric field and temperature profiles. Therefore, a new 3-dimensional simulator is developed with Finite Difference Method (FDM) for hyperthermia. This simulator can compute rapidly with fewer memories. As to computation, we use ICCG (Incomplete Cholesky Conjugate Gradient) method or SOR (Successive Over-Relaxation) method. We can give priority to time by ICCG method, to memories by SOR method. For the examination of the accuracy of this simulator, the result compared to direct calculation, and the result from 2-dimensional simulation with FEM.