A Nonconforming Finite Element Approximation for the von Karman Equations
arXiv:1506.08958
Originality Synthesis-oriented
AI Analysis
Provides a rigorous numerical analysis for a challenging nonlinear plate model, but the method is incremental (nonconforming FEM) and domain-specific.
Proposed a nonconforming finite element method for the von Karman equations describing thin plate bending, achieving optimal error estimates in broken energy and H1 norms under minimal regularity, validated by numerical results.
In this paper, a nonconforming finite element method has been proposed and analyzed for the von Karman equations that describe bending of thin elastic plates. Optimal order error estimates in broken energy and $H^1$ norms are derived under minimal regularity assumptions. Numerical results that justify the theoretical results are presented.