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 through one public field/operator interface, 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
  • Unified fields and operators
  • Surface geometries
  • Boundary-value and initial-value problems
  • Evaluation and output
  • Compatibility and lower-level APIs
  • Module reference
• References
  • Quadrilateral HPS
  • Triangular HPS

Highlights

• High-order quadrilateral and triangular surface patches

• Unified field, lap, grad, integral, and norm dispatch

• SurfaceProblem and SurfaceLBVP for elliptic solves

• SurfaceIVP for implicit reaction-diffusion stepping

• Evaluator output handlers for repeatable examples and notebooks

• VTU/VTP output for ParaView