[PDF][PDF] Gridap: An extensible finite element toolbox in julia

S Badia, F Verdugo - Journal of Open Source Software, 2020 - joss.theoj.org
Gridap is a new Finite Element (FE) framework, exclusively written in the Julia programming
language, for the numerical simulation of a wide range of mathematical models governed by …

The software design of Gridap: a finite element package based on the Julia JIT compiler

F Verdugo, S Badia - Computer Physics Communications, 2022 - Elsevier
We present the software design of Gridap, a novel finite element library written exclusively in
the Julia programming language, which is being used by several research groups world …

[PDF][PDF] The MFrontGenericInterfaceSupport project

T Helfer, J Bleyer, T Frondelius, I Yashchuk… - Journal of Open …, 2020 - research.aalto.fi
The ability to easily integrate user-defined constitutive equations plays a major role in the
versatility of (mechanical) solvers 1. Constitutive equations describe how the internal state …

An open-source implementation of a phase-field model for brittle fracture using Gridap in Julia

MM Rahaman - Mathematics and Mechanics of Solids, 2022 - journals.sagepub.com
This article proposes an open-source implementation of a phase-field model for brittle
fracture using a recently developed finite-element toolbox, Gridap in Julia. This work exploits …

[HTML][HTML] An effective higher order finite element computation method for analyzing the eddy current losses in induction motors using subparametric transformations

GP Kannan, KV Nagaraja, JK Madhukesh… - … Differential Equations in …, 2024 - Elsevier
An enhanced sub-parametric finite element method is presented for analyzing the eddy
current losses in induction motors using higher order sub-parametric transformations. The …

[HTML][HTML] juSFEM: A Julia-based open-source package of parallel Smoothed Finite Element Method (S-FEM) for elastic problems

Z Huo, G Mei, N Xu - Computers & Mathematics with Applications, 2021 - Elsevier
Abstract The Smoothed Finite Element Method (S-FEM) proposed by Liu GR can achieve
more accurate results than the conventional FEM. Currently, much commercial software and …

Julia language in computational mechanics: A new competitor

L **ao, G Mei, N **, F Piccialli - Archives of Computational Methods in …, 2022 - Springer
Numerical methods are the most popular tools in computational mechanics and have been
used to tackle various practical engineering problems. However, the most common …

epSFEM: A Julia-Based Software Package of Parallel Incremental Smoothed Finite Element Method (S-FEM) for Elastic-Plastic Problems

M Zhou, J Qin, Z Huo, F Giampaolo, G Mei - Mathematics, 2022 - mdpi.com
In this paper, a parallel Smoothed Finite Element Method (S-FEM) package epSFEM using
incremental theory to solve elastoplastic problems is developed by employing the Julia …

[PDF][PDF] Natural frequency calculations with JuliaFEM

M Rapo, J Aho, T Frondelius - Rakenteiden …, 2017 - rakenteidenmekaniikka.journal.fi
This article presents a natural frequency analysis performed with JuliaFEM-an open-source
finite element method program. The results are compared with the analysis results pruduced …

An efficient automatic mesh generator with parabolic arcs in julia for computation of TE and TM modes for waveguides

GP Kannan, KV Nagaraja - IEEE Access, 2020 - ieeexplore.ieee.org
An enriched finite element method is presented to numerically solve the eigenvalue problem
on electromagnetic waveguides governed by the Helmholtz equation. In this work, a highly …