TY - JOUR
T1 - A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography
AU - Xi, Qiang
AU - Fu, Zhuojia
AU - Wu, Wenjie
AU - Wang, Hui
AU - Wang, Yong
N1 - Funding Information:
The authors thank the anonymous reviewers of this article for their very helpful comments and suggestions to significantly improve the academic quality of this article. The work described in this paper was supported by the National Science Funds of China (Grant nos. 11772119 , 11572111 ), the Fundamental Research Funds for the Central Universities (Grant no. B200202124 ), the National Institutes of Health/National Institute of Childhood Health and Human Development (Grant no. R01HD094381 ), Alexander von Humboldt Research Fellowship (ID: 1195938) and the Six Talent Peaks Project in Jiangsu Province of China (Grant no. 2019-KTHY-009 ).
Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2021/2/1
Y1 - 2021/2/1
N2 - This paper introduces a novel localized collocation Trefftz method (LCTM) for potential-based inverse electromyography (PIE). PIE is a noninvasive technique to calculate the internal electrical potentials from measured body surface electromyographic data, which can be considered as an inverse Cauchy problem with potential equation. In the proposed LCTM, the electrical potential at every node is expressed as a linear combination of 3D Trefftz basis in each stencil support, and the sparse linear system is yield by satisfying governing equation at interior nodes and boundary conditions at boundary nodes. The proposed LCTM inherits the properties of easy-to-use and meshless from the collocation Trefftz method (CTM), and mitigates the ill-conditioning resultant matrix encountered in the CTM. Numerical efficiency of the proposed method is investigated in comparison with the CTM and experimental data.
AB - This paper introduces a novel localized collocation Trefftz method (LCTM) for potential-based inverse electromyography (PIE). PIE is a noninvasive technique to calculate the internal electrical potentials from measured body surface electromyographic data, which can be considered as an inverse Cauchy problem with potential equation. In the proposed LCTM, the electrical potential at every node is expressed as a linear combination of 3D Trefftz basis in each stencil support, and the sparse linear system is yield by satisfying governing equation at interior nodes and boundary conditions at boundary nodes. The proposed LCTM inherits the properties of easy-to-use and meshless from the collocation Trefftz method (CTM), and mitigates the ill-conditioning resultant matrix encountered in the CTM. Numerical efficiency of the proposed method is investigated in comparison with the CTM and experimental data.
KW - Collocation Trefftz method
KW - Inverse cauchy problem
KW - Localized collocation scheme
KW - Meshless
KW - Potential-based inverse electromyography
UR - http://www.scopus.com/inward/record.url?scp=85089800291&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2020.125604
DO - 10.1016/j.amc.2020.125604
M3 - Article
AN - SCOPUS:85089800291
SN - 0096-3003
VL - 390
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 125604
ER -