Scattering and Radiation Problem of Surface/Surface Junction Structure with Multilevel Fast Multipole Algorithm

Supercomputer Aware Approach for the Solution of Challenging Electromagnetic Problems

“…Due to this simultaneous growth, overcoming the limits in the scalability of the available codes became a priority in order to take advantage of the large amount of computational resources and capabilities that are available in modern High Performance Computer (HPC) systems. For this reason, works focused on the parallelization improvement of the Multilevel Fast Multipole Algorithm (MLFMA) [4][5][6][7][8][9][10][11][12][13] have gained interest in last years.…”

Geometry Based Preconditioner for Radiation Problems Involving Wire and Surface Basis Functions

“…Because of that, many MoM acceleration strategies based on iterative solutions have emerged to reduce the computational complexity. Among these acceleration techniques, it must be pointed out the Fast Multipole Method (FMM) [4] and its multilevel version, the Multilevel Fast Multipole Algorithm (MLFMA) [5][6][7][8], which are extensively used at present. Nevertheless, the FMM and, in general, other methods that tackle the electromagnetic analysis within the framework of iterative schemes usually meet with difficulties when dealing with radiation problems.…”

The Efficient Analysis of Electromagnetic Scattering From Composite Structures Using Hybrid Cfie-Iefie

“…On the other hand, by making use of the multilevel fast multipole algorithm (MLFMA) [13][14][15][16], the dense matrix-vector products required in each step of the iterative solvers can be performed in O(n log n) time and O(n log n) memory, rendering these solvers very attractive for large problems. However, the iterative solver may not converge, or convergence may require too many iterations for the hybrid CFIE-EFIE formulation when the number of unknowns of the EFIE parts becomes large.…”