The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent advances in and aspects of numerical mathematics and scientific and industrial applications. The previous ENUMATH meetings took place in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011) and Lausanne (2013). This book presents a selection of invited and contributed lectures from the ENUMATH 2015 conference, which was organised by the Institute of Applied Mathematics (IAM), Middle East Technical University, Ankara, Turkey, from September 14 to 18, 2015. It offers an overview of central recent developments in numerical analysis, computational mathematics, and applications in the form of contributions by leading experts in the field. Front Matter....Pages i-xiv Front Matter....Pages 1-1 DRBEM Solution of MHD Flow and Electric Potential in a Rectangular Pipe with a Moving Lid....Pages 3-11 DRBEM Solution of the Double Diffusive Convective Flow....Pages 13-21 Complete Flux Scheme for Conservation Laws Containing a Linear Source....Pages 23-31 Second Order Implicit Schemes for Scalar Conservation Laws....Pages 33-41 Flux Approximation Scheme for the Incompressible Navier-Stokes Equations Using Local Boundary Value Problems....Pages 43-51 On the Full and Global Accuracy of a Compact Third Order WENO Scheme: Part II....Pages 53-62 The Application of the Boundary Element Method to the Theory of MHD Faraday Generators....Pages 63-72 Front Matter....Pages 73-73 How to Avoid Mass Matrix for Linear Hyperbolic Problems....Pages 75-86 Two-Dimensional H(div)-Conforming Finite Element Spaces with hp-Adaptivity....Pages 87-94 Finite Elements for the Navier-Stokes Problem with Outflow Condition....Pages 95-103 Quasi-Optimality Constants for Parabolic Galerkin Approximation in Space....Pages 105-113 Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method....Pages 115-122 Numerical Experiments for Multiscale Problems in Linear Elasticity....Pages 123-131 The Skeleton Reduction for Finite Element Substructuring Methods....Pages 133-141 Iterative Coupling of Variational Space-Time Methods for Biot’s System of Poroelasticity....Pages 143-151 Front Matter....Pages 153-153 Discontinuous Galerkin Method for the Solution of Elasto-Dynamic and Fluid-Structure Interaction Problems....Pages 155-163 Stable Discontinuous Galerkin FEM Without Penalty Parameters....Pages 165-173 Time-Space Adaptive Method of Time Layers for the Advective Allen-Cahn Equation....Pages 175-183 Semi-implicit DGM Applied to a Model of Flocking....Pages 185-193 Discontinuous and Enriched Galerkin Methods for Phase-Field Fracture Propagation in Elasticity....Pages 195-203 Front Matter....Pages 153-153 Numerical Method Based on DGM for Solving the System of Equations Describing Motion of Viscoelastic Fluid with Memory....Pages 205-213 Stability Analysis of the ALE-STDGM for Linear Convection-Diffusion-Reaction Problems in Time-Dependent Domains....Pages 215-223 A Posteriori Error Estimates for Nonstationary Problems....Pages 225-233 Front Matter....Pages 235-235 Multigrid at Scale?....Pages 237-253 A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers....Pages 255-264 A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D....Pages 265-273 Discretization and Parallel Iterative Schemes for Advection-Diffusion-Reaction Problems....Pages 275-283 A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping....Pages 285-293 The Induced Dimension Reduction Method Applied to Convection-Diffusion-Reaction Problems....Pages 295-303 Block Variants of the COCG and COCR Methods for Solving Complex Symmetric Linear Systems with Multiple Right-Hand Sides....Pages 305-313 Front Matter....Pages 315-315 Model Reduction for Multiscale Lithium-Ion Battery Simulation....Pages 317-331 Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media....Pages 333-349 Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell’s Equations....Pages 351-358 Reduced Basis Exact Error Estimates with Wavelets....Pages 359-367 Model Order Reduction for Pattern Formation in FitzHugh-Nagumo Equations....Pages 369-377 Local Parametrization of Subspaces on Matrix Manifolds via Derivative Information....Pages 379-387 Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems....Pages 389-397 Front Matter....Pages 399-399 Coupling Fluid-Structure Interaction with Phase-Field Fracture: Modeling and a Numerical Example....Pages 401-409 Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity....Pages 411-419 A Local Error Estimate for the Poisson Equation with a Line Source Term....Pages 421-429 Front Matter....Pages 399-399 Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media....Pages 431-440 Front Matter....Pages 441-441 CFD Simulation of Interaction between a Fluid and a Vibrating Profile....Pages 443-451 Chebyshev Spectral Collocation Method for Natural Convection Flow of a Micropolar Nanofluid in the Presence of a Magnetic Field....Pages 453-461 Drag Reduction via Phase Randomization in Turbulent Pipe Flow....Pages 463-470 CFD Optimization of a Vegetation Barrier....Pages 471-479 Modified Newton Solver for Yield Stress Fluids....Pages 481-490 Numerical Simulation of 3D Flow of Viscous and Viscoelastic Fluids in T-Junction Channel....Pages 491-498 Computational Simulations of Fractional Flow Reserve Variability....Pages 499-507 On the Mathematical Modeling of Monocytes Transmigration....Pages 509-517 Front Matter....Pages 519-519 Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction....Pages 521-530 Finite Volume Scheme for Modeling of NAPL Vapor Transport in Air....Pages 531-538 Numerical Solution of Constrained Curvature Flow for Closed Planar Curves....Pages 539-546 Analysis of a T, φ −φ Formulation of the Eddy Current Problem Based on Edge Finite Elements....Pages 547-555 Two Variants of Stabilized Nodal-Based FEM for the Magnetic Induction Problem....Pages 557-565 Modeling of a Three-Dimensional Spherulite Microstructure in Semicrystalline Polymers....Pages 567-575 Numerical Approximation of Interaction of Fluid Flow and Elastic Structure Vibrations....Pages 577-585 Front Matter....Pages 587-587 Comparison of Nonlocal Operators Utilizing Perturbation Analysis....Pages 589-606 Pricing of Basket Options Using Dimension Reduction and Adaptive Finite Differences in Space, and Discontinuous Galerkin in Time....Pages 607-615 On the Stability of a Weighted Finite Difference Scheme for Hyperbolic Equation with Integral Boundary Conditions....Pages 617-626 A Riemannian BFGS Method for Nonconvex Optimization Problems....Pages 627-634 Front Matter....Pages 587-587 Discrete Lie Derivative....Pages 635-643 Back Matter....Pages 645-652
