Efficient Algorithms for A Linear Thermo-Poroelastic Model

Speaker锛Mingchao Cai (Morgan State University, Professor)

Time锛5鏈27鏃14锛30-15锛30

Place锛氭捣绾宠嫅2骞204

Abstract锛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锛缇庡浗椹噷鍏版懇鏍瑰窞绔嬪ぇ瀛︽暀鎺堬紝鍗氬銆備富瑕佷粠浜嬫暟鍊煎垎鏋愶紝娴佷綋,寮规у拰鐢熺墿鍔涘鐨勮绠.渚ч噸澶氱墿鐞嗗拰澶氬尯鍩熼棶棰樼殑寤烘ā涓庤绠. 鍦SINUM, SISC, Math. Comput., 鍜 Journal of Biomechanical Engineering, ASME, J. Biomechanics绛夋湁褰卞搷鍔涚殑SCI鏈熷垔涓婂彂琛ㄨ鏂40澶氱瘒锛屽嚭鐗book chapters 2閮紝鍋氬ぇ浼氭垨閭璇锋姤鍛婂叡 80澶氭锛MathSciNet鍙40澶氱璁＄畻鏁板, 璁＄畻鐗╃悊锛岃绠楃敓鐗╁姏瀛︽潅蹇楄瘎瀹′笓瀹, 缁勭粐骞朵富鎸佽繃瀛︽湳浼氳锛CBMS conference: Deep Learning and Numerical PDEs (2023).

Contact Person锛氭潕闆ㄦ枃锛liyuwen@zju.edu.cn锛