PROJECT TITLE :

Domain Decomposition Method Using Integral Equations and Adaptive Cross Approximation IE-ACA-DDM for Studying Antenna Radiation and Wave Scattering From Large Metallic Platforms

ABSTRACT:

In this paper, we tend to gift a replacement methodology for a nonoverlapping domain decomposition method using boundary integral equations and adaptive cross approximation within the frequency domain (IE-ACA-DDM). This paper proposes 2 main novelties. Initial, the IE-DDM condition variety is improved with the event of a formulation based on electrical field integral equation (EFIE) implementation over the entire subdomains and on a simplification of the magnetic field integral equation (MFIE) on the interfaces. As a consequence, the amount of matrix–vector products is considerably reduced throughout the iterative resolution. Then, this paper proves that the ACA will be applied and efficiently implemented in IE-DDM strategies. Moreover, a hierarchical LU (HLU) decomposition is proposed to accelerate the ACA solver. The IE-ACA-DDM is terribly suitable for the resolution of multiple excitations and to bypass the low-frequency breakdown. The pliability, accuracy, and potency of IE-ACA-DDM are demonstrated by comparing with reference integral equation solutions and scaled mock-up measurements.