论文标题
2D Biot模型的Feti-DP算法不连续的Galerkin离散化
FETI-DP algorithms for 2D Biot model with discontinuous Galerkin discretization
论文作者
论文摘要
双重主要有限元撕裂和互连（FETI-DP）算法是为2D Biot模型开发的。该模型是用混合元素作为鞍点问题制定的。位移$ \ Mathbf {U} $和Darcy Flux Flow $ \ Mathbf {Z} $用$ P_1 $分段连续元素和孔隙压力$ P $，带有$ P_0 $ PICEEWISE常数元素，{\ I.E. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e. i.e.}，总体三个字段。我们已经通过Dirichlet预处理测试了Feti-DP的功能。数值实验显示了可压缩弹性中所得平行算法的可扩展性的签名，并具有可渗透的Darcy流以及几乎不可压缩的弹性。
Dual-Primal Finite Element Tearing and Interconnecting (FETI-DP) algorithms are developed for a 2D Biot model. The model is formulated with mixed-finite elements as a saddle-point problem. The displacement $\mathbf{u}$ and the Darcy flux flow $\mathbf{z}$ are represented with $P_1$ piecewise continuous elements and pore-pressure $p$ with $P_0$ piecewise constant elements, {\it i.e.}, overall three fields with a stabilizing term. We have tested the functionality of FETI-DP with Dirichlet preconditioners. Numerical experiments show a signature of scalability of the resulting parallel algorithm in the compressible elasticity with permeable Darcy flow as well as almost incompressible elasticity.
