LEADER 05426nam 22006495 450 001 996418202303316 005 20200629133228.0 010 $a3-030-43651-9 024 7 $a10.1007/978-3-030-43651-3 035 $a(CKB)5280000000218547 035 $a(MiAaPQ)EBC6224967 035 $a(DE-He213)978-3-030-43651-3 035 $a(PPN)248596500 035 $a(EXLCZ)995280000000218547 100 $a20200609d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFinite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples$b[electronic resource] $eFVCA 9, Bergen, Norway, June 2020 /$fedited by Robert Klöfkorn, Eirik Keilegavlen, Florin A. Radu, Jürgen Fuhrmann 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (727 pages) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v323 311 $a3-030-43650-0 327 $aPart I Invited contributions: Jerome Droniou, Interplay between diffusion anisotropy and mesh skewness in Hybrid High-Order schemes -- Mária Lukácová, K -convergence of finite volume solutions of the Euler equations -- Sandra May, Time-dependent conservation laws on cut cell meshes and the small cell problem -- Alessio Fumugalli, Anna Scotti, Reactive flow in fractured porous media -- Marianne Bessemoulin, Claire Chainais-Hillairet, Hélène Mathis, Numerical schemes for semiconductors energy-transport models -- Part II Theoretical aspects: Reviewed contributed papers on convergence, stability analysis, and other related topics -- Part III Examples: Reviewed contributed papers. 330 $aThe proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master?s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v323 606 $aComputer science?Mathematics 606 $aComputer mathematics 606 $aFluids 606 $aPhysics 606 $aMathematics of Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I17001 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 615 0$aComputer science?Mathematics. 615 0$aComputer mathematics. 615 0$aFluids. 615 0$aPhysics. 615 14$aMathematics of Computing. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aFluid- and Aerodynamics. 615 24$aNumerical and Computational Physics, Simulation. 676 $a532 702 $aKlöfkorn$b Robert$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKeilegavlen$b Eirik$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRadu$b Florin A$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFuhrmann$b Jürgen$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418202303316 996 $aFinite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples$92161933 997 $aUNISA