From 7d548d6483e40ad988e88a802a071f42aeac1f40 Mon Sep 17 00:00:00 2001
From: Boris Martin <boris.martin.be@gmail.com>
Date: Fri, 7 Oct 2022 12:17:09 +0200
Subject: [PATCH] update README

---
 tutorials/poisson_overlap/README.md | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/tutorials/poisson_overlap/README.md b/tutorials/poisson_overlap/README.md
index 2b4701a8..cc49cc5f 100644
--- a/tutorials/poisson_overlap/README.md
+++ b/tutorials/poisson_overlap/README.md
@@ -1,4 +1,6 @@
 # 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
+The domain is a 2 by one rectangle, with boundary conditions $`u(0, y) = 0, u(2, y) = 2`$ and homogeneous von Neumann conditions on the other edges. The analytical solution is $`u(x,y) = x`$.
+
+This tutorial illustrates overlapping DDM. The first domain solves the equation for $`x`$ ranging from 0 to 1.2, and the other domain from 0.8 to 2. They exchange data over the center of the domain (0.8 to 1.2), which provide the boundary conditions on the inner boundaries.
\ No newline at end of file
-- 
GitLab