Title | ||
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A Novel Localized Collocation Solver Based On Trefftz Basis For Potential-Based Inverse Electromyography |
Abstract | ||
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This paper introduces a novel localized collocation Trefftz method (LCTM) for potentialbased 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. (C) 2020 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
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2021 | 10.1016/j.amc.2020.125604 | APPLIED MATHEMATICS AND COMPUTATION |
Keywords | DocType | Volume |
Localized collocation scheme, Potential-based inverse electromyography, Inverse cauchy problem, Collocation Trefftz method, Meshless | Journal | 390 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 5 |