@Article{cmes.2023.031474,
AUTHOR = {Ziqiang Bai, Wenzhen Qu, Guanghua Wu},
TITLE = {An Effective Meshless Approach for Inverse Cauchy Problems in 2D and 3D Electroelastic Piezoelectric Structures},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {138},
YEAR = {2024},
NUMBER = {3},
PAGES = {2955--2972},
URL = {http://www.techscience.com/CMES/v138n3/54959},
ISSN = {1526-1506},
ABSTRACT = {In the past decade, notable progress has been achieved in the development of the generalized finite difference method (GFDM). The underlying principle of GFDM involves dividing the domain into multiple sub-domains. Within each sub-domain, explicit formulas for the necessary partial derivatives of the partial differential equations (PDEs) can be obtained through the application of Taylor series expansion and moving-least square approximation methods. Consequently, the method generates a sparse coefficient matrix, exhibiting a banded structure, making it highly advantageous for large-scale engineering computations. In this study, we present the application of the GFDM to numerically solve inverse Cauchy problems in two- and three-dimensional piezoelectric structures. Through our preliminary numerical experiments, we demonstrate that the proposed GFDM approach shows great promise for accurately simulating coupled electroelastic equations in inverse problems, even with 3% errors added to the input data.},
DOI = {10.32604/cmes.2023.031474}
}