Error analysis of Nitsche's mortar method
Provides rigorous error analysis for Nitsche's mortar method, benefiting researchers in computational mechanics and numerical analysis, though the approach is an incremental extension of existing mixed method analysis.
The paper derives optimal a priori and a posteriori error estimates for Nitsche's mortar finite elements, demonstrating robustness with respect to large jumps in material and mesh parameters. Numerical results confirm the effectiveness of the a posteriori estimators.
Optimal a priori and a posteriori error estimates are derived for Nitsche's mortar finite elements. The analysis is based on the equivalence of the Nitsche's method and the stabilised mixed method. The Nitsche's method is defined so that it is robust with respect to large jumps in the material and mesh parameters over the interface. Numerical results demonstrate the robustness of the a posteriori estimators.