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Efficient solvers for hybridized three-field mixed finite element coupled poromechanics
Computers & Mathematics with Applications ( IF 2.9 ) Pub Date : 2020-08-06 , DOI: 10.1016/j.camwa.2020.07.010
Matteo Frigo , Nicola Castelletto , Massimiliano Ferronato , Joshua A. White

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.



中文翻译:

混合三场混合有限元耦合微力学的高效求解器

我们考虑了耦合振动力学的混合混合有限元公式。提出了一种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杂散压力模式。通过开发基于Schur-complement近似策略的一类块三角预处理器来解决稳定的混合混合块系统的有效解决方案。理论上讨论了所提出方法的鲁棒性,计算效率和可扩展性,并在大规模并行体系结构上使用具有挑战性的基准问题对其进行了测试。

更新日期:2020-08-08
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