TL;DR
This paper develops a Nitsche's method for approximating Kirchhoff-Love plates with Robin boundary conditions, providing error analysis and numerical validation to demonstrate its effectiveness.
Contribution
It introduces a novel Nitsche's method tailored for Kirchhoff plates with Robin boundary conditions, including comprehensive error estimates and numerical validation.
Findings
The method achieves optimal convergence rates.
Error estimates are established in mesh-dependent norms.
Numerical examples confirm the theoretical results.
Abstract
We introduce a Nitsche's method for the numerical approximation of the Kirchhoff-Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.
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