{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T01:27:58Z","timestamp":1764811678128,"version":"3.40.5"},"reference-count":34,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["DP170100605"],"award-info":[{"award-number":["DP170100605"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We design a Hybrid High-Order (HHO) scheme for the Poisson problem that is fully robust on polytopal meshes in the presence of small edges\/faces.\nWe state general assumptions on the stabilisation terms involved in the scheme, under which optimal error estimates (in discrete and continuous energy norms, as well as <jats:inline-formula>\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:msup>\n                              <m:mi>L<\/m:mi>\n                              <m:mn>2<\/m:mn>\n                           <\/m:msup>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_cmam-2021-0018_ineq_0001.png\"\/>\n                        <jats:tex-math>L^{2}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>-norm) are established with multiplicative constants that do not depend on the maximum number of faces in each element, or the relative size between an element and its faces.\nWe illustrate the error estimates through numerical simulations in 2D and 3D on meshes designed by agglomeration techniques (such meshes naturally have elements with a very large numbers of faces, and very small faces).<\/jats:p>","DOI":"10.1515\/cmam-2021-0018","type":"journal-article","created":{"date-parts":[[2021,9,21]],"date-time":"2021-09-21T21:34:07Z","timestamp":1632260047000},"page":"47-71","source":"Crossref","is-referenced-by-count":18,"title":["Robust Hybrid High-Order Method on Polytopal Meshes with Small Faces"],"prefix":"10.1515","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3339-3053","authenticated-orcid":false,"given":"J\u00e9r\u00f4me","family":"Droniou","sequence":"first","affiliation":[{"name":"School of Mathematics , Monash University , Melbourne , Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2120-4048","authenticated-orcid":false,"given":"Liam","family":"Yemm","sequence":"additional","affiliation":[{"name":"School of Mathematics , Monash University , Melbourne , Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2021,9,22]]},"reference":[{"key":"2023033111454414841_j_cmam-2021-0018_ref_001","doi-asserted-by":"crossref","unstructured":"I. 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