Expand library description in README.md

Author: yguclu

README.md

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 [![devel_tests](https://github.com/pyccel/psydac/actions/workflows/testing.yml/badge.svg)](https://github.com/pyccel/psydac/actions/workflows/testing.yml) [![docs](https://github.com/pyccel/psydac/actions/workflows/documentation.yml/badge.svg)](https://github.com/pyccel/psydac/actions/workflows/documentation.yml)
 
-**PSYDAC** is a Python 3 Library for isogeometric analysis.
+PSYDAC is a Python 3 library for isogeometric analysis.
+It is an academic, open-source project created by numerical mathematicians at the [Max Planck Institute for Plasma Physics](https://www.ipp.mpg.de/en) ([NMPP](https://www.ipp.mpg.de/ippcms/eng/for/bereiche/numerik) division, [FEM](https://www.ipp.mpg.de/5150531/fem) group).
+
+PSYDAC can solve general systems of partial differential equations in weak form, which users define using the domain-specific language provided by [SymPDE](https://github.com/pyccel/sympde).
+It supports finite element exterior calculus (FEEC) with tensor-product spline spaces and handles multi-patch geometries in various ways.
+
+PSYDAC automatically generates Python code for the assembly of user-defined functionals and linear and bilinear forms from the weak formulation of the problem.
+This Python code is then accelerated to C/Fortran speed using [Pyccel](https://github.com/pyccel/pyccel).
+The library also enables large parallel computations on distributed-memory supercomputers using [MPI](https://en.wikipedia.org/wiki/Message_Passing_Interface) and [OpenMP](https://en.wikipedia.org/wiki/OpenMP).
 
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