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	Journal of Open Source Software
Volume	5
Issue number	52
DOIs	https://doi.org/10.21105/joss.02520
Publication status	Published - 26 Aug 2020

Access to Document

10.21105/joss.02520Licence: CC BY

Cite this

@article{c3dc89f5188341f4ac38d0bb3eb626a2,

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.",

author = "Santiago Badia and Francesc Verdugo",

year = "2020",

month = aug,

day = "26",

doi = "10.21105/joss.02520",

language = "English",

volume = "5",

journal = "Journal of Open Source Software",

issn = "2475-9066",

publisher = "Open Journals",

number = "52",

}

TY - JOUR

T1 - Gridap

T2 - An extensible Finite Element toolbox in Julia

AU - Badia, Santiago

AU - Verdugo, Francesc

PY - 2020/8/26

Y1 - 2020/8/26

N2 - 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.

AB - 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.

U2 - 10.21105/joss.02520

DO - 10.21105/joss.02520

M3 - Article

SN - 2475-9066

VL - 5

JO - Journal of Open Source Software

JF - Journal of Open Source Software

IS - 52

M1 - 2520

ER -