The Multilevel Adaptive cross Approximation (MLACA), an algorithm to solve MoM electromagnetic problems with computational cost O(N2) and a storage scaling with O(NlogN), is presented here and for the first time applied to a whole electromagnetic problem and not only to the interaction between blocks whose containing spheres do not intersect each other. For compressing an off-diagonal submatrix of the method of moments (MoM) impedance matrix with a binary tree, the L-level MLACA includes L + 1 steps, and each step includes 2L ACA-SVD decompositions
The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solution...
Abstract—An efficient higher order MLFMA is developed by using an “extended-tree”. With this extende...
We present an algebraic compression technique to accelerate the computation of multiple monostatic r...
In recent years, several methods have been developed for accelerating the iterative solution of the ...
An error bound of the multilevel adaptive cross approximation (MLACA 1, which is a multilevel versio...
Nested iterative solutions using full and approximate forms of the multilevel fast multipole algorit...
This article presents a low-rank decomposition algorithm based on subsampling of matrix entries. The...
This paper presents a modification of the adaptive cross approximation (ACA) algorithm for accelerat...
We present a novel approach to accelerate the electromagnetic simulations by the multilevel fast mul...
When solving the electromagnetic scattering problems over wide angle, the traditional method of mome...
In this paper, a Nested Fast Adaptive Cross Approximation (NFACA) algorithm is presented to accelera...
The multilevel matrix decomposition algorithm (MLMDA) has been implemented in 3-D for the solution o...
Currently, the problem size that can be solved by the Method of Moments (MoM) is limited by the amou...
In this thesis, we present a novel approach to accelerate electromagnetic simulations by the multile...
Abstract—We present an iterative inner-outer scheme for the efficient solution of large-scale electr...
The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solution...
Abstract—An efficient higher order MLFMA is developed by using an “extended-tree”. With this extende...
We present an algebraic compression technique to accelerate the computation of multiple monostatic r...
In recent years, several methods have been developed for accelerating the iterative solution of the ...
An error bound of the multilevel adaptive cross approximation (MLACA 1, which is a multilevel versio...
Nested iterative solutions using full and approximate forms of the multilevel fast multipole algorit...
This article presents a low-rank decomposition algorithm based on subsampling of matrix entries. The...
This paper presents a modification of the adaptive cross approximation (ACA) algorithm for accelerat...
We present a novel approach to accelerate the electromagnetic simulations by the multilevel fast mul...
When solving the electromagnetic scattering problems over wide angle, the traditional method of mome...
In this paper, a Nested Fast Adaptive Cross Approximation (NFACA) algorithm is presented to accelera...
The multilevel matrix decomposition algorithm (MLMDA) has been implemented in 3-D for the solution o...
Currently, the problem size that can be solved by the Method of Moments (MoM) is limited by the amou...
In this thesis, we present a novel approach to accelerate electromagnetic simulations by the multile...
Abstract—We present an iterative inner-outer scheme for the efficient solution of large-scale electr...
The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solution...
Abstract—An efficient higher order MLFMA is developed by using an “extended-tree”. With this extende...
We present an algebraic compression technique to accelerate the computation of multiple monostatic r...