LEADER 04873nam 22005655 450 001 9910254085603321 005 20240507205938.0 024 7 $a10.1007/978-3-319-41640-3 035 $a(CKB)3710000000891719 035 $a(DE-He213)978-3-319-41640-3 035 $a(MiAaPQ)EBC4709294 035 $a(PPN)196323819 035 $a(EXLCZ)993710000000891719 100 $a20161003d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBuilding Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations /$fedited by Gabriel R. Barrenechea, Franco Brezzi, Andrea Cangiani, Emmanuil H. Georgoulis 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (VIII, 433 p. 40 illus., 21 illus. in color.) 225 1 $aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v114 311 $a3-319-41638-3 311 $a3-319-41640-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPart I Introduction -- Gabriel R. Barrenechea, Franco Brezzi, Andrea Cangiani, Emmanuil H. Georgoulis: Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations -- Part II Invited Papers -- Assyr Abdulle: Numerical homogenization methods for parabolic monotone problems -- L. Beirao da Veiga, F. Brezzi, L.D. Marini, A. Russo: Virtual Element implementation for general elliptic equations -- Annalisa Bu_a, Eduardo M. Garau, Carlotta Giannelli, and Giancarlo Sangalli: On quasi-interpolation operators in spline spaces -- Erik Burman: Stabilised finite element methods for ill-posed problems with conditional stability -- Bernardo Cockburn: Static condensation, hybridization, and the devising of the HDG methods -- Truman Ellis, Jesse Chan, and Leszek Demkowicz: Robust DPG Methods for Transient Convection-Diffusion -- Daniele A. Di Pietro, Alexandre Ern, and Simon Lemaire: A review of Hybrid High-Order methods: formulations, computational aspects, comparison with other methods -- Ralf Hiptmair, Andrea Moiola and Ilaria Perugia: A Survey of Trefftz Methods for the Helmholtz Equation -- Paola F. Antonietti, Andrea Cangiani, Joe Collis, Zhaonan Dong, Emmanuil H. Georgoulis, Stefano Giani, and Paul Houston: Review of Discontinuous Galerkin Finite Element Methods for Partial Di_erential Equations on Complicated Domains -- Konstantin Lipnikov and Gianmarco Manzini: Discretization of mixed formulations of elliptic problems on polyhedral meshes -- Daniel Peterseim: Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors -- Chi-Wang Shu: Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods -- Christopher Harder and Frédéric Valentin: Foundations of the MHM Method. . 330 $aThis volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium ?Building bridges: connections and challenges in modern approaches to numerical partial differential equations?. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques. 410 0$aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v114 606 $aComputer science$xMathematics 606 $aDifferential equations, Partial 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aComputer science$xMathematics. 615 0$aDifferential equations, Partial. 615 14$aComputational Science and Engineering. 615 24$aPartial Differential Equations. 676 $a510 702 $aBarrenechea$b Gabriel R$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBrezzi$b F$g(Franco),$f1945-$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCangiani$b Andrea$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGeorgoulis$b Emmanuil H$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254085603321 996 $aBuilding bridges$91523201 997 $aUNINA