Initial Value Problem Formulation of 3-D Time Domain Boundary Element Method

A time domain boundary element method (TDBEM) gives us another possibility of time domain microwave simulations in addition to a finite difference time domain (FDTD) method. In particular, the TDBEM has good advantages in analysis of coupling problems with charged particle motion such as in a particle accelerator. However, it is known that time domain microwave simulations in the particle accelerator by the conventional TDBEM often encounter numerical instability and inaccuracy because of its bad matrix property. To avoid the numerical instability and inaccuracy caused by the conventional open boundary problem formulation of the TDBEM, an initial value problem formulation of 3-D TDBEM is presented in this paper

4-D Space-Time-Domain Decomposition Simulation of Particle Accelerator Wake Field Based on 3-D Time Domain BEM

A time-domain boundary element method (TDBEM) provides one more possibility of potential numerical schemes for a time domain microwave simulation in addition to the finite difference time domain method. However, it is known that the TDBEM requires very large memory of order of 100 GB. As one of the solutions to effective memory reduction, this paper presents a 4-D domain decomposition method for the TDBEM. It is shown that the 4-D domain decomposition method of the TDBEM works well for the effective memory reduction in a particle accelerator wake field analysis