@Article{IJNAM-22-510,
author = {Guo , PenghaoWang , Bo and Zou , Guang-An},
title = {An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2025},
volume = {22},
number = {4},
pages = {510--533},
abstract = {<p style="text-align: justify;">In this paper, we propose a linear, fully decoupled and unconditionally energy-stable
discontinuous Galerkin (DG) method for solving the tumor growth model, which is derived from
the variation of the free energy. The fully discrete scheme is constructed by the scalar auxiliary
variable (SAV) for handling the nonlinear term and backward Euler method for the time discretization. We rigorously prove the unconditional energy stability and optimal error estimates
of the scheme. Finally, several numerical experiments are performed to verify the energy stability
and validity of the proposed scheme.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2025-1022},
url = {http://global-sci.org/intro/article_detail/ijnam/24038.html}
}