NGSDiffGeo

Getting Started

  • Installation
  • License

Tutorials

  • Riemannian Manifolds
  • Covariant Derivatives
  • Curvature quantities on Riemannian manifolds
  • Gauss-Bonnet theorem
  • Regge finite elements and Regge metrics
  • Distributional Gauss curvature
  • Distributional Gauss curvature (analysis)
  • Gauss curvature approximation on embedded surfaces
  • Distributional scalar curvature
  • Distributional Einstein curvature
  • Distributional Riemann curvature tensor curvature
  • Linearization of curvature quantities
NGSDiffGeo
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Welcome

NGSDiffGeo

This is an add-on package to NGSolve for differential geometry support. We focus on Riemannian manifolds. Examples and tutorials can be found in the documentation.

We gratefully acknowledge support by the Austrian Science Foundation FWF within project grant J4824 Numerical analysis of curvatures from Regge finite elements.

Getting Started

  • Installation
  • License

Tutorials

  • Riemannian Manifolds
  • Covariant Derivatives
  • Curvature quantities on Riemannian manifolds
  • Gauss-Bonnet theorem
  • Regge finite elements and Regge metrics
  • Distributional Gauss curvature
  • Distributional Gauss curvature (analysis)
  • Gauss curvature approximation on embedded surfaces
  • Distributional scalar curvature
  • Distributional Einstein curvature
  • Distributional Riemann curvature tensor curvature
  • Linearization of curvature quantities
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© Copyright 2025, Michael Neunteufel.

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