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On a general implementation of h- and p-adaptive curl-conforming finite elements

Author
Olm, M.; Badia, S.; Martín, A. F.
Type of activity
Journal article
Journal
Advances in engineering software
Date of publication
2019-06
Volume
132
First page
74
Last page
91
DOI
10.1016/j.advengsoft.2019.03.006
Repository
http://hdl.handle.net/2117/130851 Open in new window
https://arxiv.org/abs/1810.10314 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S096599781831113X Open in new window
Abstract
Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, especially for high order methods, is not trivial, since it involves many technicalities that are not properly described in the literature. To fill this gap, we provide a comprehensive description of a general implementation of edge elements of first kind within the scientific software project FEMPAR . We cover into detail how to implement arbi...
Citation
Olm, M.; Badia, S.; Martín, A. F. On a general implementation of h- and p-adaptive curl-conforming finite elements. "Advances in engineering software", Març 2019, p. 1-29.
Keywords
Adaptive mesh refinement, Curl-conforming spaces, Edge finite elements, Implementation
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants