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Various implications such as discrete convex duality results and a characterization of the image of the projection of the Crouzeix\u2013Ravaiart space onto elementwise constant functions are deduced.<\/jats:p>","DOI":"10.1007\/s00211-021-01199-3","type":"journal-article","created":{"date-parts":[[2021,5,7]],"date-time":"2021-05-07T02:02:38Z","timestamp":1620352958000},"page":"127-139","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Orthogonality relations of Crouzeix\u2013Raviart and Raviart\u2013Thomas finite element spaces"],"prefix":"10.1007","volume":"148","author":[{"given":"S\u00f6ren","family":"Bartels","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhangxian","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,5,7]]},"reference":[{"issue":"1","key":"1199_CR1","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1051\/m2an\/1985190100071","volume":"19","author":"DN Arnold","year":"1985","unstructured":"Arnold, D.N., Brezzi, F.: Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates. 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