核心概念
Numerical approximation of Koiter's model solution using the penalty method.
要約
The content discusses the numerical scheme based on the Finite Element Method for approximating Koiter's model solution for an elliptic membrane shell. It covers variational inequalities, penalization methods, regularity augmentation, and mixed variational formulations. The paper concludes with numerical experiments validating the obtained results.
- Introduction to Koiter's model analysis.
- Background and notation in differential geometry.
- Obstacle problem formulation for linearly elastic shells.
- Classical formulation of Koiter's model for elliptic membrane shells.
- Approximation of the solution using penalization method.
- Augmentation of regularity and convergence analysis.
- Numerical simulations and experimental validation.
統計
"MSC 2010. 35J86, 47H07, 65M60, 74B05."
"March 12, 2024"
"R ε −ε f i,ε(y, x3) dx3"
"λ ≥ 0 and µ > 0"
"miny∈ω(a3 · q) > 0"