Dr Stefano Giani stefano.giani@durham.ac.uk
Associate Professor
In this paper, we present an adaptive spectral projection based finite element method to numerically approximate the solution of the wave equation with memory. The adaptivity is not restricted to the mesh (hp-adaptivity), but it is also applied to the size of the computed spectrum (k-adaptivity). The meshes are refined using a residual based error estimator, while the size of the computed spectrum is adapted using the L2 norm of the error of the projected data. We show that the approach can be very efficient and accurate.
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 7, 2023 |
Online Publication Date | Mar 31, 2023 |
Publication Date | 2023-09 |
Deposit Date | Mar 9, 2023 |
Publicly Available Date | May 30, 2023 |
Journal | Journal of Computational and Applied Mathematics |
Print ISSN | 0377-0427 |
Electronic ISSN | 1879-1778 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 429 |
Article Number | 115212 |
DOI | https://doi.org/10.1016/j.cam.2023.115212 |
Public URL | https://durham-repository.worktribe.com/output/1178697 |
Published Journal Article
(2 Mb)
PDF
Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/
Copyright Statement
© 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/
licenses/by/4.0/)
An investigation into the methods for modelling pre-existing cracks in phase field problems
(2023)
Presentation / Conference Contribution
Classification of Pulmonary Hypertension by Shape Analysis of the Human Right Ventricle: Robustness and Preliminary Association with Clinical Outcomes
(2019)
Presentation / Conference Contribution
A discontinuous Galerkin hp-adaptive finite element method for brittle
crack propagation
(2017)
Presentation / Conference Contribution
Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method
(2017)
Presentation / Conference Contribution
Two dimensional configurational-force-driven crack propagation using the discontinuous Galerkin method with rp-adaptivity
(2016)
Presentation / Conference Contribution
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
Apache License Version 2.0 (http://www.apache.org/licenses/)
Apache License Version 2.0 (http://www.apache.org/licenses/)
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search