Thomas Wiltshire
An open source hp-adaptive discontinuous Galerkin finite element solver for linear elasticity
Wiltshire, Thomas; Bird, Robert E.; Coombs, William M.; Giani, Stefano
Authors
Dr Robert Bird robert.e.bird@durham.ac.uk
PDRA in Computational Solid Mechanics
Professor William Coombs w.m.coombs@durham.ac.uk
Professor
Dr Stefano Giani stefano.giani@durham.ac.uk
Associate Professor
Abstract
Open source codes are a key ingredient to greater research integrity and accountability in computational science and engineering. However, many of these codes have not been developed with modification of the base code as their primary consideration. Existing codes may provide an environment for researchers to quickly test out their ideas under different physical conditions in a high level way but they are not always ideal for those interested in the development of numerical methods. The majority of existing open source discontinuous Galerkin finite element codes are written in C++ and there is a significant learning curve for junior researchers to adopt, understand and modify the underlying code/routines. This paper presents an open source hp-adaptive discontinuous Galerkin finite element code written in MATLAB that has been explicitly designed to make it easy for users, especially MSc/PhD-level researchers, to understand the method and implement new ideas within the core code. Although the code is focused on solving problems in linear elasticity, it is straightforward to modify it to solve other physical equations.
Citation
Wiltshire, T., Bird, R. E., Coombs, W. M., & Giani, S. (2022). An open source hp-adaptive discontinuous Galerkin finite element solver for linear elasticity. Advances in Engineering Software, 171, https://doi.org/10.1016/j.advengsoft.2022.103147
Journal Article Type | Article |
---|---|
Acceptance Date | May 13, 2022 |
Online Publication Date | Jun 13, 2022 |
Publication Date | 2022 |
Deposit Date | May 16, 2022 |
Publicly Available Date | Aug 2, 2022 |
Journal | Advances in Engineering Software |
Print ISSN | 0965-9978 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 171 |
DOI | https://doi.org/10.1016/j.advengsoft.2022.103147 |
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http://creativecommons.org/licenses/by/4.0/
Copyright Statement
This is an open access article distributed under the terms of the Creative Commons CC-BY license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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