Journal article
Partially discontinuous nodal finite elements for 𝐻(curl) and 𝐻(div)
- Abstract:
- We investigate the discretization of H (curl) and H (div) in two and three space dimensions by partially discontinuous nodal finite elements, i.e., vector-valued Lagrange finite elements with discontinuity in certain directions. These spaces can be implemented as a combination of continuous and discontinuous Lagrange elements and fit in de Rham complexes. We construct well-conditioned nodal bases.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 640.0KB, Terms of use)
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- Publisher copy:
- 10.1515/cmam-2022-0053
Authors
- Publisher:
- De Gruyter
- Journal:
- Computational Methods in Applied Mathematics More from this journal
- Volume:
- 22
- Issue:
- 3
- Pages:
- 613-629
- Publication date:
- 2022-06-09
- Acceptance date:
- 2022-03-09
- DOI:
- EISSN:
-
1609-9389
- ISSN:
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1609-4840
- Language:
-
English
- Pubs id:
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1264164
- Local pid:
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pubs:1264164
- Source identifiers:
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W4283075248
- Deposit date:
-
2026-08-10
- ARK identifier:
Terms of use
- Copyright holder:
- Walter de Gruyter GmbH, Berlin/Boston
- Copyright date:
- 2022
- Rights statement:
- © 2022 Walter de Gruyter GmbH, Berlin/Boston
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from De Gruyter at https://dx.doi.org/10.1515/cmam-2022-0053
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