A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography

Qiang Xi, Zhuojia Fu, Wenjie Wu, Hui Wang, Yong Wang

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number125604
JournalApplied Mathematics and Computation
Volume390
DOIs
StatePublished - Feb 1 2021

Keywords

  • Collocation Trefftz method
  • Inverse cauchy problem
  • Localized collocation scheme
  • Meshless
  • Potential-based inverse electromyography

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