论文标题
肿瘤生长的相位场模型的有限元近似
Finite element approximation of a phase field model for tumour growth
论文作者
论文摘要
我们考虑了采用退化抛物线系统的形式的弥漫界面模型的完全实用的有限元近似。除了显示近似值的稳定性边界外，我们还证明了收敛性，因此在两个空间维度中存在解决方案。几个数值实验证明了该方法的实用性和鲁棒性。
We consider a fully practical finite element approximation of a diffuse interface model for tumour growth that takes the form of a degenerate parabolic system. In addition to showing stability bounds for the approximation, we prove convergence, and hence existence of a solution to this system in two space dimensions. Several numerical experiments demonstrate the practicality and robustness of the proposed method.
