Elliptic ProblemsΒΆ

This lecture will introduce you to the discretization framework dune-pdelab. The lecture is split in two parts. In a first part, we will study the typical model problem: P1 finite elements for Poisson equation. In a second part, we will study common generalizations of this model problem, like arbitrary polynomial degree, quadrilateral meshes, nonlinearities etc.

The recording of the first lecture about P1 finite elements for Poisson equation is available below. A written form of this tutorial is available for download. You can also download the lecture slides.

P1 finite elements for Poisson equation - Theory Part:

P1 finite elements for Poisson equation - Implementation Part:

The exercise sheet for this lesson can be downloaded here. The material for this exercise can be found in the tutorial00 subfolder of the dune-pdelab-tutorials module. Check How to study with the Material for details on how to find the material.

In the second part of this lecture, we will study common generalizations of this model problem, like arbitrary polynomial degree, quadrilateral meshes, nonlinearities etc. The recording are embedded below. A written form of this tutorial is available for download. You can also download the lecture slides.

Theory Part:

Implementation Part:

The exercise sheet for this lesson can be downloaded here. The material for this exercise can be found in the tutorial01 subfolder of the dune-pdelab-tutorials module. Check How to study with the Material for details on how to find the material.