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Author

Mingchao Cai

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Preprint Oct 2026

Pressure Monotonicity for a Rotation-Based Biot Discretization with Circumcentric Mass Lumping

We establish cellwise pressure monotonicity for a mixed finite element discretization of the rotation-based Biot system. The spatial discretization is based on compatible discrete de Rham complexes, using standard lowest-order elements for rotation, displacement, Darcy flux, and pressure. For the temporal discretizatio...

Hui-Peng Gu, Ming-Chao Cai, Jing-Zhi Li · 0 citations
Preprint Aug 2026

Physics-Informed Neural Networks for Biot's Model via Fixed-Stress Splitting and Energy Natural Gradient Descent

A robust PINN-based solver is proposed, termed FS-ENGD-PINN, which synergistically integrates physics-based decoupling with geometry-aware optimization, and which consistently outperforms standard PINN formulations in terms of accuracy and robustness.

Kexin Sun, Qiang Liu, Ming-Cheng Feng et al. · 0 citations

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