index.ipynb

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    "# Scaffolding\n",
    "\n",
    "* [fiat_hermite](fiat_hermite.ipynb): Implementation of Hermite elements in FIAT.\n",
    "* [fiat_dkt](fiat_dkt.ipynb): Implementation of Discrete Kirchhoff Triangle elements in FIAT.\n",
    "* [ffc_tests](ffc_tests.ipynb): Tests and routines used during the implementation\n",
    "  in FFC.\n",
    "* [quadrature](quadrature.ipynb): Progress during the implementation of\n",
    "   quadratures.\n",
    "* [interpolation](interpolation.ipynb): Nodal interpolation for elements using\n",
    "  PointDerivatives.\n",
    "* [discrete_gradient](discrete_gradient.ipynb): An implementation using PETSc matrices of\n",
    "  the discrete gradient operator from CG1 to DG0 and from DKT to\n",
    "  Vector&lt;P2&gt;\n",
    "* [boundary](boundary.ipynb): Steps towards the implementation of Dirichlet and\n",
    "  Neumann boundary conditions with Hermite elements. Mostly just a\n",
    "  hack on the assembled stiffness matrix.\n",
    "* [dofs](dofs.ipynb): Notes and routines on dof extraction, usage and plotting.\n",
    "* [meshing](meshing.ipynb): Notes on the creation and transformation of meshes.\n",
    "\n",
    "# Models\n",
    "\n",
    "* [Poisson1D](Poisson1D.ipynb): A simple 1D example to test essential BCs.\n",
    "* [Poisson2D](Poisson2D.ipynb): Dolfin's included 2D example, but with Hermite\n",
    "  elements. *Why is the solution slightly skewed?*\n",
    "* [Euler-Bernoulli](Euler-Bernoulli.ipynb): The Euler Bernoulli beam model. The\n",
    "   mathematics are taken from (and possibly out of sync with)\n",
    "   `hermite.tm`.\n",
    "* [Biharmonic](biharmonic.ipynb): A test (biharmonic with non conforming interior\n",
    "   penalty method) using Lagrange or Hermite elements.\n",
    "* [Linear Kirchhoff](linear_kirchhoff.ipynb): A test for the non-conforming method\n",
    "  using the discrete gradient operator for Kirchhoff elements.\n",
    "* [Nonlinear Kirchhoff](nonlinear-kirchhoff.ipynb): First implementation of a\n",
    "  discrete gradient flow and the isometry constraint (Bartels, 2013)[]\n",
    "* [Nonlinear 3D elasticity](Nonlinear elasticity.ipynb): Using the builtin Newton \n",
    "  solver for a nonlinear variational problem.\n",
    "* [Föppl - von Kármán](fvk.ipynb): **TODO** Coupled discrete gradient flow for in-plane and\n",
    "  out-of-plane displacements (Bartels, 2016)\n",
    "\n",
    "\n",
    "# Other stuff\n",
    "\n",
    "* [debug](debug.ipynb): Some random tests.\n",
    "* [instant_test](instant_test.ipynb): Tests with instant.\n",
    "* [misc](misc.ipynb): Running and debugging, extracting the nodal values of a function, using PETSc4Py and PETSc matrices, ...\n",
    "* [utils](../edit/utils.py): Differentiable Expressions, boolean operations on functions, logging, pretty printing of output..."
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