LEADER 02629nam 22004575 450 001 9910349321903321 005 20251113212024.0 010 $a3-030-27230-3 024 7 $a10.1007/978-3-030-27230-2 035 $a(CKB)4100000009152807 035 $a(MiAaPQ)EBC5888533 035 $a(DE-He213)978-3-030-27230-2 035 $a(PPN)269145214 035 $a(EXLCZ)994100000009152807 100 $a20190829d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method $eProjections, Estimates, Tools /$fby Shukai Du, Francisco-Javier Sayas 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (131 pages) 225 1 $aSpringerBriefs in Mathematics,$x2191-8201 311 08$a3-030-27229-X 327 $aGetting ready -- Projection analysis of mixed methods -- The Hybridizable Discontinuous Galerkin method -- Variants of the HDG method -- HDG methods for evolutionary equations -- Further reading. . 330 $aThis monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) are carefully introduced before being used, so that the reader does not need to go over longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The intended audience includes graduate students in computational mathematics, physics, and engineering, since the prerequisites are quite basic for a second year graduate student who has already taken a non necessarily advanced class in the Finite Element method. 410 0$aSpringerBriefs in Mathematics,$x2191-8201 606 $aNumerical analysis 606 $aNumerical Analysis 615 0$aNumerical analysis. 615 14$aNumerical Analysis. 676 $a515.35 676 $a518 700 $aDu$b Shukai$4aut$4http://id.loc.gov/vocabulary/relators/aut$0780991 702 $aSayas$b Francisco-Javier$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910349321903321 996 $aAn Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method$92499263 997 $aUNINA