题    目：Efficient Algorithms for A Linear Thermo-Poroelastic Model

主讲人：蔡明超 教授

单    位：美国马里兰摩根州立大学

时    间：2025年5月9日 9:00

地    点：数学院一楼报告厅

摘    要： 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.

简    介：蔡明超，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SIAM J. Numer. Anal., SIAM, J. Sci. Comput., Math. Comput. 和J. Biomechanics等有影响力的SCI期刊上发表论文30多篇，出版book chapters 2部，做大会或邀请报告共 80多次，NSF计算数学研究项目评审专家,组织并主持过学术会议：CBMS conference: Deep Learning and Numerical PDEs (2023).