Gridap

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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

• STABLE — Documentation for the most recently tagged version of Gridap.jl.
• DEVEL — Documentation for the in-development version of Gridap.
• ARTICLE — F. Verdugo, S. Badia. A user-guide to Gridap -- grid-based approximation of partial differential equations in Julia. arXiv. 2019. arXiv:1910.01412

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

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.

Plugins

• GridapGmsh Generate a FE mesh with GMSH and use it in Gridap.
• GridapPardiso Use the Intel Pardiso MKL direct sparse solver in Gridap.
• GridapEmbedded Embedded finite elements in Julia.
• GridapODEs Gridap support for time-dependent PDEs.
• GridapDistributed Distributed-memory extension of Gridap.

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

How to cite Gridap

If you have used the Gridap library in a scientific publication, please cite the project as follows:

@software{gridap_project,
  author       = {Francesc Verdugo and
                  Santiago Badia and
                  Víctor Sande and
                  Alberto F. Martin and
                  Oriol Colomés and
                  Jesús Bonilla},
  title        = {Gridap.jl},
  year         = 2020,
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.3934468},
  url          = {https://doi.org/10.5281/zenodo.3934468}
}