Welcome to the documentation for Goalie!

Manual

• 1. Motivation
  • 1.1. Tracer transport
  • 1.2. References
• 2. Goal-oriented error estimation
  • 2.1. References
• 3. Goal-oriented mesh adaptation
  • 3.1. Error indicators
  • 3.2. Adapting based on error indicators
  • 3.3. Fixed point iteration loops
  • 3.4. References

API documentation

The classes and functions which comprise Goalie may be found in the API documentation.

• Goalie API documentation

They are also listed alphabetically on the index page. The index may be searched using the inbuilt search engine.

Demos

Time partitions and mesh sequences

• Partitioning a time interval
• Creating a mesh sequence
• Solving ordinary differential equations using Goalie
• Burgers equation on a sequence of meshes
• Adjoint Burgers equation
• Adjoint Burgers equation on two meshes
• Adjoint Burgers equation with a time-integrated QoI
• Adjoint Burgers equation (object-oriented approach)
• Solid body rotation
• Advection-diffusion-reaction
• Advection-diffusion-reaction with multiple prognostic variables

Error estimation

• Error estimation for Burgers equation
• Point discharge with diffusion

Mesh adaptation

• Hessian-based mesh adaptation for a 2D steady-state problem
• Goal-oriented mesh adaptation for a 2D steady-state problem
• Hessian-based mesh adaptation for a 2D time-dependent problem