A Nonconforming Finite Element Approximation for the von Karman\n Equations

2015/06/30 by Gouranga Mallik, Neela Nataraj, Mallik, Gouranga +1
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1506.08958

openalex publication_date 2015/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a nonconforming finite element method has been proposed and\nanalyzed for the von Karman equations that describe bending of thin elastic\nplates. Optimal order error estimates in broken energy and H¹ norms are\nderived under minimal regularity assumptions. Numerical results that justify\nthe theoretical results are presented.\n

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