From 571c4414eb9987bd8bb9a02237cadcd924055561 Mon Sep 17 00:00:00 2001 From: Nicola Demo Date: Thu, 23 Jun 2022 11:57:08 +0200 Subject: [PATCH] Update README.md nabla to delta --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 454a4b6..1102c24 100644 --- a/README.md +++ b/README.md @@ -45,7 +45,7 @@ PINN is a novel approach that involves neural networks to solve supervised learn #### Problem definition First step is formalization of the problem in the PINA framework. We take as example here a simple Poisson problem, but PINA is already able to deal with **multi-dimensional**, **parametric**, **time-dependent** problems. Consider: -$$\begin{cases}\nabla u = \sin(\pi x)\sin(\pi y)\quad& \text{in}\\,D,\\\\u = 0& \text{on}\\,\partial D,\end{cases}$$ +$$\begin{cases}\Delta u = \sin(\pi x)\sin(\pi y)\quad& \text{in}\\,D,\\\\u = 0& \text{on}\\,\partial D,\end{cases}$$ where $D = [0, 1]^2$ is a square domain and $u$ the unknown field. The translation in PINA code becomes a new class containing all the information about the domain, about the `conditions` and nothing more: ```python