DM: Interfacing Between Solvers and Models/Discretizations

• DM Basics
• PetscSection: Connecting Grids to Data
  • General concept
  • Multiple Fields
  • Working with data
  • Global Sections: Constrained and Distributed Data
  • Permutation: Changing the order of array data
  • DMPlex Specific Functionality: Obtaining data from the array
• DMPlex: Unstructured Grids
  • Representing Unstructured Grids
  • Grid Point Orientations
  • Dealing with Periodicity
  • Connecting Grids to Data Using PetscSection:
  • Data Layout using DMPLEX and PetscFE
  • Partitioning and Ordering
  • Evaluating Residuals
  • Saving and Loading DMPlex Data with HDF5
  • Metric-based mesh adaptation
• DMSTAG: Staggered, Structured Grid
  • Terminology
  • Working with vectors and operators (matrices)
  • Coordinates
  • Numberings and internal data layout
• Networks
  • Application flow
  • Utility functions
  • Retrieving components and number of variables
• DM Commonalities
  • DMDA simple structured grids
  • DMSTAG simple stagger grids
  • DMPLEX unstructured meshes
  • DMNETWORK computations on graphs of nodes and connecting edges
• Is it a programming language issue?
• PetscDT: Discretization Technology in PETSc
  • Quadrature
  • Probability Distributions
• PetscFE: Finite Element Infrastructure in PETSc
  • Using Pointwise Functions to Specify Finite Element Problems
  • Describing a particular finite element problem to PETSc
  • Assembling finite element residuals and Jacobians