Stabilized multiphysics finite element method with Crank-Nicolson sehcme for a poroelasticity model
Stabilized multiphysics finite element method with Crank-Nicolson sehcme for a poroelasticity model
复制标题
多孔弹性模型的稳定多物理场有限元法与 Crank-Nicolson sehcme
DOI：
10.1002/num.22357
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发表时间：
2019
影响因子：
3.9
通讯作者：
李婷婷
中科院分区：
文献类型：
--
作者：
葛志昊;何亚南;李婷婷
本文提出了一种基于Crank-Nicolson格式的多孔弹性模型稳定多物理场有限元方法。该方法可以消除锁定现象，揭示多物理过程。采用最低等阶有限元对来减少计算量。该方法不需要约束条件Δt=O(h2)，且达到最优收敛阶。数值试验表明，该方法具有较好的精度和较好的消除锁紧现象的性能。
In the paper, we propose a stabilized multiphysics finite element method with Crank–Nicolson scheme for a poroelasticity model. The method can eliminate the locking phenomenon and reveal the multi‐physical process. The lowest equal order finite element pair is used to reduce the computational cost. Furthermore, the method needs no constraint condition Δt=O(h2) and achieves optimal convergent order. Numerical tests are provided to illustrate the optimal accuracy and good performance in eliminating locking phenomenon of the method.