Seminars on Numerical Algorithms, Analyses, and Applications: Efficient Algorithms for A Linear Thermo-Poroelastic Model

Speaker：Mingchao Cai (Morgan State University)

Time：2026-5-21 14:30

Location：Conference Room C503 at Administration Building at Haiyun Campus

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.