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BenjaminRodenberg committed Jan 26, 2024
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---
title: Partitioned heat conduction with Schwarz-type domain decomposition
permalink: tutorials-partitioned-heat-conduction-schwarz.html
title: Partitioned heat conduction with overlapping Schwarz-type domain decomposition
permalink: tutorials-partitioned-heat-conduction-overlap.html
keywords: FEniCS, Nutils, Heat conduction
summary: We solve a simple heat equation. The domain is partitioned and the coupling is established in an overlapping-Schwarz-type domain decomposition.
---

{% note %}
Get the [case files of this tutorial](https://github.com/precice/tutorials/tree/master/partitioned-heat-conduction-schwarz). Read how in the [tutorials introduction](https://www.precice.org/tutorials.html).
Get the [case files of this tutorial](https://github.com/precice/tutorials/tree/master/partitioned-heat-conduction-overlap). Read how in the [tutorials introduction](https://www.precice.org/tutorials.html).
{% endnote %}

## Setup

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

![Case setup of partitioned-heat-conduction case with Schwarz-type domain decomposition](images/tutorials-partitioned-heat-conduction-schwarz-setup.png)
![Case setup of partitioned-heat-conduction case with overlapping Schwarz-type domain decomposition](images/tutorials-partitioned-heat-conduction-overlap-setup.png)

## Running the simulation

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