LEADER 07473nam 22008055 450 001 9910300154003321 005 20200702004315.0 010 $a3-319-05591-7 024 7 $a10.1007/978-3-319-05591-6 035 $a(CKB)3710000000114434 035 $a(EBL)1731063 035 $a(OCoLC)880418957 035 $a(SSID)ssj0001242749 035 $a(PQKBManifestationID)11670761 035 $a(PQKBTitleCode)TC0001242749 035 $a(PQKBWorkID)11261988 035 $a(PQKB)10650906 035 $a(MiAaPQ)EBC1731063 035 $a(DE-He213)978-3-319-05591-6 035 $a(PPN)178781673 035 $a(EXLCZ)993710000000114434 100 $a20140516d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems $eFVCA 7, Berlin, June 2014 /$fedited by Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (499 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v78 300 $aDescription based upon print version of record. 311 $a3-319-05590-9 320 $aIncludes bibliographical references and index. 327 $a""Preface""; ""Organization Committees""; ""Contents""; ""Part IIIElliptic and Parabolic Problems""; ""46 Asymptotic-Preserving Methods for an Anisotropic Model of Electrical Potential in a Tokamak""; ""1 Introduction""; ""2 Anisotropic Model of the Electrical Potential""; ""3 The Micro-Macro Asymptotic-Preserving Method""; ""4 Numerical Experiments""; ""5 Conclusion""; ""References""; ""47 Semi-implicit Second Order Accurate Finite Volume Method for Advection-Diffusion Level Set Equation""; ""1 Introduction""; ""2 Mathematical Model""; ""3 Finite Volume Method"" 327 $a""4 Solution of Algebraic Equations""""5 Numerical Experiments""; ""6 Conclusions""; ""References""; ""48 Adaptive Time Discretization and Linearization Based on a Posteriori Estimates for the Richards Equation""; ""1 Introduction""; ""2 A Posteriori Error Estimate""; ""3 Application to the DDFV Scheme""; ""4 Results""; ""5 Conclusions""; ""References""; ""49 Monotone Combined Finite Volume-Finite Element Scheme for a Bone Healing Model""; ""1 Introduction""; ""2 The Combined FV-FE Scheme""; ""3 Monotone Correction""; ""4 Numerical Experiments""; ""References"" 327 $a""50 Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media""""1 Hybrid Dimensional Two-Phase Darcy Flow Model in Fractured Porous Media""; ""2 Vertex Approximate Gradient Discretization""; ""3 Numerical Experiments""; ""References""; ""51 Coupling of a Two Phase Gas Liquid Compositional 3D Darcy Flow with a 1D Compositional Free Gas Flow""; ""1 Model""; ""2 Numerical Test""; ""3 Convergence Analysis of a Simplified Model""; ""References""; ""52 Gradient Discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media"" 327 $a""1 Hybrid Dimensional Darcy Flow in Fractured Porous Media""""2 Gradient Discretization""; ""3 Two Examples of Gradient Discretizations of Hybrid Dimensional Models""; ""4 Numerical Experiments""; ""References""; ""53 A Gradient Scheme for the Discretization of Richards Equation""; ""1 Richards Equation""; ""2 Gradient Discretization""; ""3 Numerical Tests""; ""3.1 The Hornung-Messing Problem""; ""3.2 The Haverkamp Problem""; ""References""; ""54 Convergence of a Finite Volume Scheme for a Corrosion Model""; ""1 General Framework""; ""2 Presentation of the Model and of the Hypotheses"" 327 $a""3 Numerical Scheme""""4 Main Results""; ""5 A Priori Estimates""; ""6 Conclusion""; ""References""; ""55 High Performance Computing Linear Algorithms for Two-Phase Flow in Porous Media""; ""1 Introduction""; ""2 Discretization and Parallel Implementation""; ""3 Fix-Point Methods""; ""4 Numerical Results""; ""References""; ""56 Numerical Solution of Fluid-Structure Interaction by the Space-Time Discontinuous Galerkin Method""; ""1 Formulation of the Problem""; ""1.1 Flow Problem""; ""1.2 Elasticity Problem""; ""2 Discrete Problem""; ""2.1 Discretization of the Flow Problem"" 327 $a""2.2 Discretization of the Elasticity Problem"" 330 $aThe methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v78 606 $aNumerical analysis 606 $aPhysics 606 $aComputer simulation 606 $aPartial differential equations 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aNumerical analysis. 615 0$aPhysics. 615 0$aComputer simulation. 615 0$aPartial differential equations. 615 14$aNumerical Analysis. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aSimulation and Modeling. 615 24$aPartial Differential Equations. 676 $a532 702 $aFuhrmann$b Jürgen$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aOhlberger$b Mario$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRohde$b Christian$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300154003321 996 $aFinite volumes for complex applications VII-Elliptic, parabolic and hyperbolic problems$91410290 997 $aUNINA