Gridap: An extensible Finite Element toolbox in Julia

Santiago Badia; Francesc Verdugo

doi:10.21105/joss.02520

Gridap: An extensible Finite Element toolbox in Julia

Santiago Badia, Francesc Verdugo

School of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

Gridap is a new Finite Element (FE) framework, exclusively written in the Julia programminglanguage, for the numerical simulation of a wide range of mathematical models governed bypartial differential equations (PDEs). The library provides a feature-rich set of discretization techniques, including continuous and discontinuous FE methods with Lagrangian, Raviart Thomas, or Nédélec interpolations, and supports a wide range of problem types including linear, nonlinear, single-field, and multi-field PDEs (see (Badia, Martín, & Principe, 2018,Section 3) for a detailed presentation of the mathematical abstractions behind the implementation of these FE methods). Gridap is designed to help application experts to easily simulate real-world problems, to help researchers improve productivity when developing new FE-related techniques, and also for its usage in numerical PDE courses.

Original language	English
Article number	2520
Number of pages	3
Journal	The Journal of Open Source Software
Volume	5
Issue number	52
DOIs	https://doi.org/10.21105/joss.02520
Publication status	Published - 26 Aug 2020

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10.21105/joss.02520Licence: CC BY

Cite this

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title = "Gridap: An extensible Finite Element toolbox in Julia",

abstract = "Gridap is a new Finite Element (FE) framework, exclusively written in the Julia programminglanguage, for the numerical simulation of a wide range of mathematical models governed bypartial differential equations (PDEs). The library provides a feature-rich set of discretization techniques, including continuous and discontinuous FE methods with Lagrangian, Raviart Thomas, or N{\'e}d{\'e}lec interpolations, and supports a wide range of problem types including linear, nonlinear, single-field, and multi-field PDEs (see (Badia, Mart{\'i}n, & Principe, 2018,Section 3) for a detailed presentation of the mathematical abstractions behind the implementation of these FE methods). Gridap is designed to help application experts to easily simulate real-world problems, to help researchers improve productivity when developing new FE-related techniques, and also for its usage in numerical PDE courses.",

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