diff --git a/README.md b/README.md index 225307a..454a4b6 100644 --- a/README.md +++ b/README.md @@ -45,10 +45,8 @@ 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: -

- Poisson approximation -

-where *D* is a square domain, *Gamma*s are the boundaries 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: +$$\begin{cases}\nabla u = \sin(\pi x)\sin(\pi y)\quad& \text{in}\\,D,\\\\u = 0& \text{on}\\,\partial D,\end{cases}$$ +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 class Poisson(SpatialProblem): diff --git a/readme/poisson_problem.png b/readme/poisson_problem.png deleted file mode 100644 index 5931275..0000000 Binary files a/readme/poisson_problem.png and /dev/null differ