diff --git a/tutorials/poisson_overlap/README.md b/tutorials/poisson_overlap/README.md
new file mode 100644
index 0000000000000000000000000000000000000000..12692728d58724684b8e2d18d198470f2ea59d8f
--- /dev/null
+++ b/tutorials/poisson_overlap/README.md
@@ -0,0 +1,4 @@
+# Poisson Equation with overlap and Dirichlet 
+
+We solve a homogeneous Poisson (i.e. Laplace) equation with domain decomposition.
+The domain is a 2 by one rectangle, with boundary conditions $u(0, y) = 0, u(2, y) = 2$ and homogenuous von Neumann conditions on the other edges. The analytical solution is $u(x,y) = x$.
\ No newline at end of file