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报告题目: Efficient Algorithms for A Linear Thermo-Poroelastic Model
报告人：蔡明超 教授 摩根州立大学 数学学院
报告时间：2025年6月6日下午14:30
报告地点：红瓦楼726
报告内容简介：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.
报告人简介：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，MathSciNet及30多种计算数学,计算物理杂志评审专家,组织并主持过学术会议：CBMS conference: Deep Learning and Numerical PDEs (2023).
报告邀请人：黄学海