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The kernel concept is then used to characterize the smallest representable vortices for several representative discrete finite difference and finite element schemes. Both uniform and unstructured mesh situations are considered and compared. Numerical experiments are consistent with the analytic results.<\/jats:p>","DOI":"10.1137\/070695198","type":"journal-article","created":{"date-parts":[[2008,11,3]],"date-time":"2008-11-03T12:10:14Z","timestamp":1225714214000},"page":"531-556","source":"Crossref","is-referenced-by-count":17,"title":["Kernel Analysis of the Discretized Finite Difference and Finite Element Shallow-Water Models"],"prefix":"10.1137","volume":"31","author":[{"given":"Virgile","family":"Rostand","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniel Y. Le","family":"Roux","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Graham","family":"Carey","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,10,31]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0493(1999)127<1928:ANTOTC>2.0.CO;2"},{"key":"R2","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/B978-0-12-460817-7.50009-4","volume":"17","author":"Arakawa A.","year":"1977","journal-title":"Methods Comput. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0076-6860","issn-type":"print"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1007\/BF02576171"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01399555"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"F. Brezzi and M. Fortin,\n                      Mixed and Hybrid Finite Element Methods\n                      , Springer Series in Computational Mathematics, Springer-Verlag, Berlin, 15 (1991).","DOI":"10.1007\/978-1-4612-3172-1"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1650010406"},{"key":"R7","unstructured":"P. Hood and C. Taylor,\n                      Navier-Stokes equations using mixed interpolation\n                      , Finite Elements in Flow Problems, J. T. Oden et al., ed., The University of Alabama in Huntsville (UAH) Press, Huntsville, AL 35899 (1974), pp. 121\u2013132."},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.3402\/tellusa.v36i2.11478"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1650200504"},{"key":"R10","unstructured":"P. H. LeBlond and L. A. 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