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Numerical results obtained using Firedrake [F. Rathgeber et al., ACM Trans. Math. Software, 43 (2016), 24] confirm the theory.<\/jats:p>","DOI":"10.1137\/22m150753x","type":"journal-article","created":{"date-parts":[[2023,7,19]],"date-time":"2023-07-19T04:28:32Z","timestamp":1689740912000},"page":"A1789-A1811","source":"Crossref","is-referenced-by-count":1,"title":["Weighted-Norm Preconditioners for a Multilayer Tide Model"],"prefix":"10.1137","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7962-8324","authenticated-orcid":true,"given":"Colin J.","family":"Cotter","sequence":"first","affiliation":[{"name":"Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ England."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Robert C.","family":"Kirby","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Baylor University, Waco, TX 76706 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hunter","family":"Morris","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Baylor University, Waco, TX 76706 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,7,19]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1145\/2566630"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142903431924"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-97-00826-0"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2005.5.189"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-36519-5"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2018.03.017"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-75934-0"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389710"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1002\/fld.2094","volume":"63","author":"Comblen R.","year":"2010","journal-title":"Internat. 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