On the improved convergence of lifted distributional Gauss curvature from Regge elements

DOI10.1016/j.rinam.2024.100511MaRDI QIDQ6657391

Joachim Schöberl, Jay Gopalakrishnan, Michael Neunteufel, Max Wardetzky

Publication date: 6 January 2025

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methoddifferential geometryGauss curvatureRegge calculus

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs on manifolds (35R01) Discrete differential geometry (53A70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the linearization of Regge calculus
• NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
• Defining curvature as a measure via Gauss-Bonnet on certain singular surfaces
• On the convergence of a mixed finite-element method for plate bending problems
• Differential Geometry
• Riemannian Geometry
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Curvatures of Smooth and Discrete Surfaces
• The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
• A CHARACTERIZATION OF SECOND-ORDER DIFFERENTIAL OPERATORS ON FINITE ELEMENT SPACES
• High-Order Approximation of Gaussian Curvature with Regge Finite Elements
• The Mathematical Theory of Finite Element Methods
• Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics
• Finite element approximation of the Levi-Civita connection and its curvature in two dimensions

This page was built for publication: On the improved convergence of lifted distributional Gauss curvature from Regge elements