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Grid-based approximation of partial differential equations in Julia

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Gridap provides a set of tools for the grid-based approximation of partial differential equations (PDEs) written in the Julia programming language. The main motivation behind the development of this library is to provide an easy-to-use framework for the development of complex PDE solvers in a dynamically typed style without sacrificing the performance of statically typed languages. The library currently supports linear and nonlinear PDE systems for scalar and vector fields, single and multi-field problems, conforming and nonconforming finite element discretizations, on structured and unstructured meshes of simplices and hexahedra.

Documentation

  • STABLEDocumentation for the most recently tagged version of Gridap.jl.
  • DEVELDocumentation for the in-development version of Gridap.

Tutorials

A hands-on user-guide to the library is available as a set of tutorials. They are available as Jupyter notebooks and html pages.

Installation

Gridap is a registered package in the official Julia package registry. Thus, the installation of Gridap is straight forward using the Julia's package manager. Open the Julia REPL, type ] to enter package mode, and install as follows

pkg> add Gridap

Plugins

Examples

These are some popular PDEs solved with the Gridap library. Examples taken from the Gridap Tutorials.

Poisson equation Linear elasticity Hyper-elasticity p-Laplacian
Poisson eq. with DG Darcy eq. with RT Incompressible Navier-Stokes Isotropic damage

Gridap community

Join to our gitter chat to ask questions and interact with the Gridap community.

Contributing to Gridap

Gridap is a collaborative project open to contributions. If you want to contribute, please take into account:

  • Before opening a PR with a significant contribution, contact the project administrators, e.g., by writing a message in our gitter chat or by opening an issue describing what you are willing to implement. Wait for feed-back.
  • Carefully read and follow the instructions in the CONTRIBUTING.md file.
  • Carefully read and follow the instructions in the CODE_OF_CONDUCT.md file.
  • Open a PR with your contribution.

Want to help? We have a number of issues waiting for help. You can start contributing to the Gridap project by solving some of those issues.

How to cite Gridap

In order to give credit to the Gridap contributors, we simply ask you to cite the refence below in any publication in which you have made use of Gridap packages:

@article{Badia2020,
  doi = {10.21105/joss.02520},
  url = {https://doi.org/10.21105/joss.02520},
  year = {2020},
  publisher = {The Open Journal},
  volume = {5},
  number = {52},
  pages = {2520},
  author = {Santiago Badia and Francesc Verdugo},
  title = {Gridap: An extensible Finite Element toolbox in Julia},
  journal = {Journal of Open Source Software}
}

Contact

Please, contact the project administrators, Santiago Badia and Francesc Verdugo, for further questions about licenses and terms of use.

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