论文标题
Biot模型的迭代分离算法具有无条件稳定性
An Iterative Decoupled Algorithm with Unconditional Stability for Biot Model
论文作者
论文摘要
本文涉及生物模型的数值算法。通过引入中间变量，经典的2场Biot模型将写入三场公式中。基于这样的3个场公式，我们提出了一种耦合算法，一些基于时间 - 分解的分解算法以及迭代解耦算法。我们的重点是对迭代分离算法的分析。结果表明，迭代分解算法的收敛性不需要对物理参数或稳定参数的额外假设。提供数值实验以证明所提出方法的准确性和效率。
This paper is concerned with numerical algorithms for Biot model. By introducing an intermediate variable, the classical 2-field Biot model is written into a 3-field formulation. Based on such a 3-field formulation, we propose a coupled algorithm, some time-extrapolation based decoupled algorithms, and an iterative decoupled algorithm. Our focus is the analysis of the iterative decoupled algorithm. It is shown that the convergence of the iterative decoupled algorithm requires no extra assumptions on physical parameters or stabilization parameters. Numerical experiments are provided to demonstrate the accuracy and efficiency of the proposed method.
