Efficient Algorithms for A Linear Thermo-Poroelastic Model

Speaker：Mingchao Cai (Morgan State University, Professor)

Time：5月27日14：30-15：30

Place：海纳苑2幢204

Abstract：Thermo-poroelastic models capture the interplay between elastic porous material deformation, fluid flow, and thermal effects under non-isothermal conditions. This talk presents a four-field formulation for the linear thermo-poroelastic model and introduces two novel algorithms. The first focuses on constructing parameter-robust preconditioners for the resulting linear system, proposing two approaches: one reorganizes variables into a 2-by-2 block structure, while the other directly addresses the 4-by-4 coupled operator. Both preconditioners exhibit robustness to parameter variations and mesh refinement. The second algorithm is a decoupled iterative finite element method, for which stability and optimal convergence are rigorously proven. Numerical experiments are provided to validate the effectiveness and efficiency of the proposed methods.

Speaker Introduction：美国马里兰摩根州立大学教授，博导。主要从事数值分析，流体,弹性和生物力学的计算.侧重多物理和多区域问题的建模与计算. 在SINUM, SISC, Math. Comput., 和 Journal of Biomechanical Engineering, ASME, J. Biomechanics等有影响力的SCI期刊上发表论文40多篇，出版book chapters 2部，做大会或邀请报告共 80多次，MathSciNet及40多种计算数学, 计算物理，计算生物力学杂志评审专家, 组织并主持过学术会议：CBMS conference: Deep Learning and Numerical PDEs (2023).

Contact Person：李雨文（liyuwen@zju.edu.cn）