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In particular, this work generalizes the discontinuous Galerkin methods of Part II to compressible and incompressible linear continuum mechanics. We also show how the stabilizing parameters of the method must be set when the two-field Friedrichs' system is composed of terms that may be of different magnitude, thus accounting, for instance, for advection\u2013diffusion equations at high P\u00e9clet numbers.<\/jats:p>","DOI":"10.1137\/060664045","type":"journal-article","created":{"date-parts":[[2008,2,8]],"date-time":"2008-02-08T18:10:00Z","timestamp":1202494200000},"page":"776-804","source":"Crossref","is-referenced-by-count":35,"title":["Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity"],"prefix":"10.1137","volume":"46","author":[{"given":"Alexandre","family":"Ern","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jean-Luc","family":"Guermond","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,2,8]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0719052"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142901384162"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0257(98)00122-0"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1977-0431742-5"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1996.5572"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142902401311"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-03-01579-5"},{"key":"R8","doi-asserted-by":"crossref","unstructured":"F. 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Guermond,\n                      Theory and Practice of Finite Elements\n                      , Appl. Math. Sci. 159, Springer-Verlag, New York, 2004.","DOI":"10.1007\/978-1-4757-4355-5"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1137\/050624133"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1137\/05063831X"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1080\/03605300600718545"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(96)01145-0"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(89)90073-X"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1137\/0728084"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160110306"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/s002110200392"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(01)00358-9"},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(84)90158-0"},{"key":"R25","unstructured":"P. Lesaint,\n                      Sur la r\u00e9solution des syst\u00e8mes hyperboliques du premier ordre par des m\u00e9thodes d'\u00e9l\u00e9ments finis\n                      , Ph.D. thesis, University of Paris VI, 1975."},{"key":"R26","doi-asserted-by":"crossref","unstructured":"P. Lesaint and P.A. Raviart,\n                      On a finite element method for solving the neutron transport equation\n                      , in Mathematical Aspects of Finite Elements in Partial Differential Equations, Publication No. 33. Math. Res. 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