pysurfacefun

pysurfacefun provides high-order discretizations and fast direct solvers for partial differential equations on smooth surfaces. The package supports quadrilateral Chebyshev patches and triangular high-order patches, with notebook examples for convergence studies and time-dependent surface dynamics.

Contents

• Installation
  • Build the documentation
• Quick Start
• Notebook Examples
  • Triangular Laplace-Beltrami on the sphere
  • Surface biharmonic equation
  • Cow surface reaction-diffusion
  • Swiss-cheese reaction-diffusion
• API Overview
  • Quadrilateral patches
  • Triangular patches
  • Module reference
• References
  • Quadrilateral HPS
  • Triangular HPS

Highlights

• High-order quadrilateral and triangular surface patches

• Strong-form surface differential operators

• Laplace-Beltrami, Helmholtz, and biharmonic examples

• Reaction-diffusion examples on imported and implicit surfaces

• VTU/VTP output for ParaView