## Parallel solution of elastic equations

Till now, all deal.II examples only used the first cluster node. They were thought to show you a few things that deal.II is able to do and how it can nicely output some graphics. In this example, however, you will see an example where a very computationally intense equation for the elastic deformation of a solid body is solved in parallel on a BeagleBone Black cluster using the deal.II library. Because deal.II supports an interface to the PETSc library, problems can be transferred to PETSc and solved on the cluster in parallel.

Let's first consider the mathematical starting point. The elastic equation is as follows:

Here, `c`

is the stiffness tensor, `f`

is the force vector, and `u`

is the resulting deformation vector. The implementation of such a linear equation system is very complicated. There are further explanations at http://www.dealii.org/8.0.0/doxygen/deal.II/step_8.html regarding the programming of deal.II to solve this.

While step-8 is still a serial...