论文标题
有限元法具有BIOT合并模型的总应力变量
Finite element method with the total stress variable for Biot's consolidation model
论文作者
论文摘要
在这项工作中，使用三场有限元元件公式来描述了Biot的合并模型，得出了半差异和全差异误差估计。这些场包括位移，总应力和压力。该模型是在完全消散方案的时间内使用向后的Euler离散化实现的，并为基准示例验证。提出的计算实验验证了最低阶有限元的收敛顺序，并在总应力下不连续且连续的有限元占用。
In this work, semi-discrete and fully-discrete error estimates are derived for the Biot's consolidation model described using a three-field finite element formulation. The fields include displacements, total stress and pressure. The model is implemented using a backward Euler discretization in time for the fully-discrete scheme and validated for benchmark examples. Computational experiments presented verifies the convergence orders for the lowest order finite elements with discontinuous and continuous finite element appropriation for the total stress.
