Efficient marching-on-in-degree solver of time domain integral equation with adaptive cross approximation algorithm-singular value decomposition

H Zhang, Q Wang, Y Shi… - The Applied …, 2012 - journals.riverpublishers.com
Adaptive cross approximation algorithm with singular value decomposition postcompression
(ACA-SVD) is introduced into the marching-on-in-degree solver of time domain integral …

Acceleration of the impedance matrix filling for marching-on-in-degree method by equivalent dipole moment

Z He, HH Zhang, RS Chen - Electromagnetics, 2015 - Taylor & Francis
In this article, the equivalent dipole moment method is employed to accelerate the marching-
on-in-degree method for the time-domain combined field integral equation. Each element …

[HTML][HTML] Time domain boundary integral equations analysis

A Geranmayeh - 2011 - tuprints.ulb.tu-darmstadt.de
The present research study mainly involves a survey of diverse time-domain boundary
element methods that can be used to numerically solve the retarded potential integral …

Marching-on-in-degree method with delayed weighted Laguerre polynomials for transient electromagnetic scattering analysis

DZ Ding, HH Zhang, RS Chen - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
The large cost of computing resources has become a bottleneck of the marching-on-in-
degree (MOD) solver of time-domain integral equation (TDIE). A set of delayed weighted …

Size reduction technique for the marching-on-in-order time-domain integral equation method in analysis of transient electromagnetic scattering

QQ Wang, YF Shi, HH Zhang, RS Chen - IET microwaves, antennas & …, 2012 - IET
The aggregative basis functions (ABFs) are introduced to construct a size-reduced system
for the marching-on-in-order (MOO) time-domain integral equation (TDIE) method to analyse …

Efficient generation of aggregative basis functions in the marching-on-in-degree time-domain integral equation solver

QQ Wang, ZW Liu, YF Shi, HH Zhang, RS Chen - Electromagnetics, 2013 - Taylor & Francis
The aggregative basis function method for a marching-on-in-degree time-domain integral
equation solver can significantly reduce the matrix size and storage and make the reduced …

OpenMP parallelized MOD solution of the time‐domain EFIE accelerated by the ACA algorithm

Y Shi, JM Jin - Microwave and Optical Technology Letters, 2012 - Wiley Online Library
A parallelized marching‐on‐in‐degree (MOD) method accelerated by the adaptive cross
approximation (ACA) algorithm is developed to solve the time‐domain electric‐field integral …

[HTML][HTML] Laguerre–Galerkin methods with reduced sum-products

A Geranmayeh - Applied Mathematical Modelling, 2016 - Elsevier
The always stable solution of time-domain integral equations by plain implementation of the
classical marching-on-in-degree (MOD) methods demands O (M 2 N 3) operations, where M …