@Article{NMTMA-18-733,
author = {Huang , Jianguo and Qiu , Likun},
title = {Sparse Wavelet Element Method for Piezoelectric Equations in an Unbounded Domain},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2025},
volume = {18},
number = {3},
pages = {733--755},
abstract = {<p style="text-align: justify;">This paper is concerned with devising an efficient numerical method for
the piezoelectric equations in an unbounded domain, which plays a fundamental
role in design and analysis of microacoustic devices with piezoelectric substrate. We
make use of the perfectly matched layer method to transform the underlying problem as a surrogate in a bounded domain, which is further solved by a sparse wavelet
element method. The latter method can be viewed as a combination of a wavelet
element method and a sparse grid method. The numerical results are performed to
show the proposed method is very efficient and outperforms the usual finite element
method. It can be naturally extended to two/three dimensional problems in an unbounded domain whose boundary consists of line segments or rectangles parallel to
coordinate lines or planes.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2024-0137},
url = {http://global-sci.org/intro/article_detail/nmtma/24325.html}
}