Year: 2025
Author: Penghao Guo, Bo Wang, Guang-An Zou
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 4 : pp. 510–533
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2025-1022
International Journal of Numerical Analysis and Modeling, Vol. 22 (2025), Iss. 4 : pp. 510–533
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Tumor growth model DG method SAV approach optimal error estimates.