论文标题
杂交三场混合有限元耦合Poromechricic的有效求解器
Efficient solvers for hybridized three-field mixed finite element coupled poromechanics
论文作者
论文摘要
我们考虑用于耦合门力力学的混合混合有限元配方。采取了基于宏观元素方法的稳定策略，以消除在不排水/不可压缩条件下出现的伪压模式。通过基于Schur-Complement近似策略开发一类块三角预处理器来解决稳定混合混合块系统的有效解决方案。理论上，使用挑战性的基准问题在大规模平行的架构上讨论和测试了所提出方法的鲁棒性，计算效率和可扩展性。
We consider a mixed hybrid finite element formulation for coupled poromechanics. A stabilization strategy based on a macro-element approach is advanced to eliminate the spurious pressure modes appearing in undrained/incompressible conditions. The efficient solution of the stabilized mixed hybrid block system is addressed by developing a class of block triangular preconditioners based on a Schur-complement approximation strategy. Robustness, computational efficiency and scalability of the proposed approach are theoretically discussed and tested using challenging benchmark problems on massively parallel architectures.
