@Article{IJNAM-22-157,
author = {Zhang , JianghongGao , Fuzheng and Cui , Jintao},
title = {Weak Galerkin Finite Element Method Based on POD for Nonlinear Parabolic Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2025},
volume = {22},
number = {2},
pages = {157--177},
abstract = {<p style="text-align: justify;">In this paper, we establish a novel reduced-order weak Galerkin (ROWG) finite
element method for solving parabolic equation with nonlinear compression coefficient. We first
present the classical weak Galerkin finite element discretization scheme and derive the optimal
error estimates. Then we apply a proper orthogonal decomposition (POD) technique to develop
the ROWG method, which can effectively reduce degrees of freedom and CPU time. The optimal
order error estimates are also derived, and the algorithm flow is provided. Finally, some numerical
experiments illustrate the performance of the ROWG method. The numerical results show that
the proposed ROWG method is efficient for solving nonlinear parabolic equations.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2025-1008},
url = {http://global-sci.org/intro/article_detail/ijnam/23819.html}
}