## Setup

We solve a partitioned heat equation, but apply an overlapping Schwarz-type domain decomposition method in this tutorial.

Note that this case applies an overlapping Schwarz-type coupling method and not (like most other tutorials in this repository) a Dirichlet-Neumann coupling. This results in a symmetric setup of the solvers.

## Running the simulation

This tutorial is for FEniCS.

For choosing whether you want to run the left or right participant, please provide the following commandline input:

`python3 heat.py left`

flag will run the left participant.`python3 heat.py right`

flag will run the right participant.

Like for the case `partitioned-heat-conduction`

(using Dirichlet-Neumann coupling), we can also expect for the overlapping domain decomposition applied here to recover the analytical solution. `errorcomputation.py`

checks this explicitly, by comparing the numerical to the analytical solution and raising an error, if the approximation error is not within a given tolerance.