[图书][B] Hierarchical matrices: algorithms and analysis

W Hackbusch - 2015 - Springer
Usually one avoids numerical algorithms involving operations with large, fully populated
matrices. Instead one tries to reduce all algorithms to matrix-vector multiplications involving …

Measuring coaxial hole size of finite-size metallic disk based on a dual-constraint integration feature using multifrequency eddy current testing

R Huang, M Lu, X He, A Peyton… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article presents a new approach of eddy current methods for determining the size of the
coaxial hole in the metallic circular disk. In recent decades, for the air-cored sensor probe …

Modeling of Eddy current NDT simulations by Kriging Surrogate model

Y Bao - Research in Nondestructive Evaluation, 2023 - Taylor & Francis
In this article, the Kriging surrogate model is proposed to accelerate the model-assisted
probability of detection (MAPoD) analysis for eddy current nondestructive testing (NDT). The …

Multilevel adaptive cross approximation for efficient modeling of 3D arbitrary shaped eddy current NDE problems

Y Bao, Z Liu, JR Bowler, J Song - NDT & E International, 2019 - Elsevier
In this article, the multilevel adaptive cross approximation (MLACA) algorithm is presented to
accelerate the boundary element method (BEM) for eddy current nondestructive evaluation …

Adaptive cross approximation algorithm for accelerating BEM in eddy current nondestructive evaluation

Y Bao, Z Liu, J Song - Journal of Nondestructive Evaluation, 2018 - Springer
This paper presents the adaptive cross approximation (ACA) algorithm to accelerate
boundary element method (BEM) for eddy current nondestructive evaluation (NDE) problem …

Fast boundary-domain integral method for heat transfer simulations

J Tibaut, J Ravnik - Engineering Analysis with Boundary Elements, 2019 - Elsevier
In this paper, we present a method to decrease the computational cost of the Boundary-
Domain Integral Method. We focus on the solution of the velocity–vorticity formulation of the …

A new fast direct solver for the boundary element method

S Huang, YJ Liu - Computational Mechanics, 2017 - Springer
A new fast direct linear equation solver for the boundary element method (BEM) is presented
in this paper. The idea of the new fast direct solver stems from the concept of the hierarchical …

A fast technique applied to the analysis of resistive wall modes with 3D conducting structures

G Rubinacci, S Ventre, F Villone, Y Liu - Journal of Computational Physics, 2009 - Elsevier
This paper illustrates the development of a “fast” technique for the analysis of Resistive Wall
Modes (RWMs) in fusion devices with three-dimensional conducting structures, by means of …

Divergence-Free: A Crucial Strategy to Speed Up the Convergence of a Multigrid Solver for 3D Natural Source Electromagnetic Modeling

R Guo, M Yu, Y Wang, J Liu, AA Abiodun… - … on Geoscience and …, 2024 - ieeexplore.ieee.org
The multigrid (MG) method has been widely used for large-scale electromagnetic (EM)
forward modeling, primarily due to its linear dependence between computational time and …

Eddy-current asymptotics of the Maxwell PMCHWT formulation for multiple bodies and conductivity levels

M Bonnet, E Demaldent - Computers & Mathematics with Applications, 2023 - Elsevier
In eddy current (EC) testing applications, ECs σ E (E: electric field, σ: conductivity) are
induced in tested metal parts by a low-frequency (LF) source idealized as a closed current …