Examples

The examples each highlight a specific aspect, possibly without much explanation.

• Example: prolongations and computing products and norms
  • This is work in progress (WIP), still missing:
  • 1: prolongation onto a finer grid
  • 2: computing products and norms
  • 3: computing errors w.r.t. a known reference solution
• Example: Grid adaptation
  • keeping track of refined elements
• Example: a posteriori error estimates based on flux reconstruction
• Example: working with gmsh grids
  • 1: creating a gmsh file
  • 2: discretization using pyMOR
  • 3: using the gmsh grid in dune
• Example: residual-based a posteriori error estimates
  • 1: inspect grid properties and relations between elements and intersections
  • 2: solving an elliptic PDE
  • 3: computing the a posterior error estimates and indicators from [MNS2002]
  • 4: data oscialltion
• Tutorial: discontinuous IPDG for the stationary heat equation
  • 1.9: everything in a single function
• Example: SIPDG for the instationary heat equation
  • This is work in progress (WIP), still missing:
  • stationary data functions
  • timedependent right hand side