论文标题
半明确整合二阶的弱耦合毛弹性
Semi-explicit integration of second order for weakly coupled poroelasticity
论文作者
论文摘要
我们引入了一个半明确的时间stepping方案，该方案的线性毛弹性为弱耦合条件的线性毛弹性。在这里，半阐释意味着需要在每个步骤中求解的系统分解，从而提高了计算效率。构造和收敛性证明是基于与差分方程的连接，两次延迟，即步长的一倍和两倍。数值实验证实了理论结果并指示对高阶方案的适用性。
We introduce a semi-explicit time-stepping scheme of second order for linear poroelasticity satisfying a weak coupling condition. Here, semi-explicit means that the system, which needs to be solved in each step, decouples and hence improves the computational efficiency. The construction and the convergence proof are based on the connection to a differential equation with two time delays, namely one and two times the step size. Numerical experiments confirm the theoretical results and indicate the applicability to higher-order schemes.
