Error estimates of a new mixed finite element method for arbitrary element pair for a nonlinear thermo-poroelasticity model

Key Points

• Error estimates reflect the accuracy of the mixed finite element method for complex models, enhancing reliability.
• Findings indicate a significant reduction in error rates, showing improvements over previous methods in nonlinear scenarios.
• This analysis uses the mixed finite element method to explore arbitrary element pairs in nonlinear thermo-poroelasticity modeling.
• Improvements shown may enable better modeling results, but further validation in real-world scenarios is necessary.