LEADER 05918nam 22007095 450 001 9910300254603321 005 20200701160851.0 010 $a3-319-25727-7 024 7 $a10.1007/978-3-319-25727-3 035 $a(CKB)3710000000649143 035 $a(EBL)4509213 035 $a(SSID)ssj0001665920 035 $a(PQKBManifestationID)16455306 035 $a(PQKBTitleCode)TC0001665920 035 $a(PQKBWorkID)14999746 035 $a(PQKB)10913576 035 $a(DE-He213)978-3-319-25727-3 035 $a(MiAaPQ)EBC4509213 035 $a(PPN)193444402 035 $a(EXLCZ)993710000000649143 100 $a20160419d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBoundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 /$fedited by Petr Knobloch 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (315 p.) 225 1 $aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v108 300 $a"These Proceedings contain contributions reflecting a selection of the lectures presented at the conference BAIL 2014: Boundary and Interior Layers - Computational and Asymptotic Methods , which was held from 15 to 19 September 2014 at Charles University in Prague, Czech Republic." 311 $a3-319-25725-0 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPreface; Contents; A Note on the Stabilised Q1-P0 Method on Quadrilaterals with High Aspect Ratios; 1 Introduction; 1.1 The Finite Element Approximation; 1.2 Numerical Results; 1.3 Conclusions; 2 Proof of Stability; Appendix; References; A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow; 1 Introduction; 2 The Augmented Variational Formulation; 3 The Stabilized Mixed Finite Element Method; 4 A Posteriori Error Analysis; 5 Numerical Results; References; A Local Projection Stabilized Lagrange-Galerkin Method for Convection-Diffusion Equations 327 $a1 Introduction2 The Formulation of the Local Projection Stabilized Lagrange-Galerkin Method; 3 Error Analysis; 4 Numerical Examples; References; Outflow Conditions for the Navier-Stokes Equations with Skew-Symmetric Formulation of the Convective Term; 1 Introduction; 2 Directional Do-Nothing Condition; 3 Existence of Weak Solutions; 4 Uniqueness of Weak Solutions for Small Data; 5 Numerical Results; 5.1 Standing Vortex; 5.2 Backward-Facing Step; References; Finite Element Approximation of an Unsteady Projection-Based VMS Turbulence Model with Wall Laws; 1 Introduction 327 $a2 The Continuous and Discrete Problems2.1 Variational Formulation of the Continuous Problem; 2.2 Finite Element Spaces; 2.3 A Projection-Based VMS Turbulence Model; 3 Analysis of the Discrete Model; 3.1 Technical Background; 3.2 Existence and Stability Results; 3.3 Convergence Analysis; 3.4 Asymptotic Energy Balance; 4 Numerical Experiments: Turbulent Channel Flow; 4.1 Setting for Numerical Simulations; 4.2 Numerical Results; References; Spatial Semidiscretizations and Time Integration of 2D Parabolic Singularly Perturbed Problems; 1 Introduction; 2 Spatial Semidiscretization 327 $a5 Accuracy of General Algebraic Flux Correction SchemesReferences; Investigation of Numerical Wall Functions Based on the 1D Boundary-Layer Equations for Flows with Significant PressureGradient; 1 Introduction; 2 Governing Equations and Wall Function Modelling; 3 Numerical Solution Method Using OpenFOAMŪ; 4 Results; 4.1 Turbulent Boundary Layer Flow at Zero Pressure Gradient; 4.2 Flow Over a Smoothly Contoured Ramp; 4.3 Flow Over a Backward Facing Step; 5 Conclusion; References; Modified SUPG Method on Oriented Meshes; 1 Introduction and the Idea of the Method; 2 Derivation of the Method 327 $a3 Coercivity 330 $aThis volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic. These are devoted to the theoretical and/or numerical analysis of problems involving boundary and interior layers and methods for solving these problems numerically. The authors are both mathematicians (pure and applied) and engineers, and bring together a large number of interesting ideas. The wide variety of topics treated in the contributions provides an excellent overview of current research into the theory and numerical solution of problems involving boundary and interior layers.  . 410 0$aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v108 606 $aComputer mathematics 606 $aPartial differential equations 606 $aDifferential equations 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 615 0$aComputer mathematics. 615 0$aPartial differential equations. 615 0$aDifferential equations. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aPartial Differential Equations. 615 24$aOrdinary Differential Equations. 676 $a530.051 702 $aKnobloch$b Petr$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300254603321 996 $aBoundary and interior layers, computational and asymptotic methods - BAIL 2014$91522831 997 $aUNINA