Numerical Mathematics and Advanced Applications 2009 Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009

This is the proceedings from the ENUMATH 2009 conference in Uppsala, Sweden, in June 29- July 3, 2009, with about 100 papers by the invited speakers and the speakers in the minisymposia and contributed sessions. The volume gives an overview of contemporary techniques, algorithms and results in numerical mathematics, scientific computing and their applications. Examples of methods are finite element methods, multiscale methods, numerical linear algebra, and high performance computing algorithms applied to problems in fluid flow, materials, electromagnetics, and chemistry.

Invited papers.- Discrete Differential Forms, Approximation of Eigenvalue Problems, and Application to the p Version of Edge Finite Elements.- Semi-Implicit DGFE Discretization of the Compressible Navier–Stokes Equations: Efficient Solution Strategy.- Some Numerical Approaches for Weakly Random Homogenization.- Goal Oriented, Anisotropic, A Posteriori Error Estimates for the Laplace Equation.- Contributed papers.- Energy Stability of the MUSCL Scheme.- Numerical Stabilization of the Melt Front for Laser Beam Cutting.- Numerical Optimization of a Bioreactor for the Treatment of Eutrophicated Water.- Finite Element Approximation of a Quasi-3D Model for Estuarian River Flows.- Convergence of a Mixed Discontinuous Galerkin and Finite Volume Scheme for the 3 Dimensional Vlasov–Poisson–Fokker–Planck System.- Infrastructure for the Coupling of Dune Grids.- FEM for Flow and Pollution Transport in a Street Canyon.- Stabilized Finite Element Methods with Shock-Capturing for Nonlinear Convection–Diffusion-Reaction Models.- Finite Element Discretization of the Giesekus Model for Polymer Flows.- A dG Method for the Strain-Rate Formulation of the Stokes Problem Related with Nonconforming Finite Element Methods.- Numerical Simulation of the Stratified Flow Past a Body.- A Flexible Updating Framework for Preconditioners in PDE-Based Image Restoration Algorithms.- Stabilized Finite Element Method for Compressible–Incompressible Diphasic Flows.- An Immersed Interface Technique for the Numerical Solution of the Heat Equation on a Moving Domain.- Lid-Driven-Cavity Simulations of Oldroyd-B Models Using Free-Energy-Dissipative Schemes.- Adaptive Multiresolution Simulation of Waves in Electrocardiology.- On the Numerical Approximation of the Laplace Transform Function from Real Samples and Its Inversion.- A Motion-Aided Ultrasound Image Sequence Segmentation.- A High Order Finite Volume Numerical Scheme for Shallow Water System: An Efficient Implementation on GPUs.- Spectral Analysis for Radial Basis Function Collocation Matrices.- Finite Element Solution of the Primitive Equations of the Ocean by the Orthogonal Sub-Scales Method.- Solution of Incompressible Flow Equations by a High-Order Term-by-Term Stabilized Method.- Solving Large Sparse Linear Systems Efficiently on Grid Computers Using an Asynchronous Iterative Method as a Preconditioner.- Hierarchical High Order Finite Element Approximation Spaces for H(div) and H(curl).- Some Theoretical Results About Stability for IMEX Schemes Applied to Hyperbolic Equations with Stiff Reaction Terms.- Stable Perfectly Matched Layers for the Schrödinger Equations.- Domain Decomposition Schemes for Frictionless Multibody Contact Problems of Elasticity.- Analysis and Acceleration of a Fluid-Structure Interaction Coupling Scheme.- Second Order Numerical Operator Splitting for 3D Advection–Diffusion-Reaction Models.- Space-Time DG Method for Nonstationary Convection–Diffusion Problems.- High Order Finite Volume Schemes for Numerical Solution of Unsteady Flows.- Multigrid Finite Element Method on Semi-Structured Grids for the Poroelasticity Problem.- A Posteriori Error Bounds for Discontinuous Galerkin Methods for Quasilinear Parabolic Problems.- An A Posteriori Analysis of Multiscale Operator Decomposition.- Goal-Oriented Error Estimation for the Discontinuous Galerkin Method Applied to the Biharmonic Equation.- Solving Stochastic Collocation Systems with Algebraic Multigrid.- Adaptive Two-Step Peer Methods for Incompressible Navier–Stokes Equations.- On Hierarchical Error Estimators for Time-Discretized Phase Field Models.- Nonlinear Decomposition Methods in Elastodynamics.- An Implementation Framework for Solving High-Dimensional PDEs on Massively Parallel Computers.- Benchmarking FE-Methods for the Brinkman Problem.- Finite Element Based Second Moment Analysis for Elliptic Problems in Stochastic Domains.- On Robust Parallel Preconditioning for Incompressible Flow Problems.- Hybrid Modeling of Plasmas.- A Priori Error Estimates for DGFEM Applied to Nonstationary Nonlinear Convection–Diffusion Equation.- Stable Crank–Nicolson Discretisation for Incompressible Miscible Displacement Problems of Low Regularity.- Simulations of 3D/4D Precipitation Processes in a Turbulent Flow Field.- 2D Finite Volume Lagrangian Scheme in Hyperelasticity and Finite Plasticity.- Local Projection Method for Convection-Diffusion-Reaction Problems with Projection Spaces Defined on Overlapping Sets.- Numerical Solution of Volterra Integral Equations with Weak Singularities.- Non-Conforming Finite Element Method for the Brinkman Problem.- Error Control for Simulations of a Dissociative Quantum System.- A Comparison of Simplicial and Block Finite Elements.- Five-Dimensional Euclidean Space Cannot be Conformly Partitioned into Acute Simplices.- The Discontinuous Galerkin Method for Convection-Diffusion Problems in Time-Dependent Domains.- A Spectral Time-Domain Method for Computational Electrodynamics.- Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Application.- Error Estimation and Anisotropic Mesh Refinement for Aerodynamic Flow Simulations.- A MHD Problem on Unbounded Domains: Coupling of FEM and BEM.- A Stable and High Order Interface Procedure for Conjugate Heat Transfer Problems.- Local Time-Space Mesh Refinement for Finite Difference Simulation of Waves.- Formulation of a Staggered Two-Dimensional Lagrangian Scheme by Means of Cell-Centered Approximate Riemann Solver.- Optimal Control for River Pollution Remediation.- An Anisotropic Micro-Sphere Approach Applied to the Modelling of Soft Biological Tissues.- Anisotropic Adaptation via a Zienkiewicz–Zhu Error Estimator for 2D Elliptic Problems.- On a Sediment Transport Model in Shallow Water Equations with Gravity Effects.- Adaptive SQP Method for Shape Optimization.- Convergence of Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws.- A Two-Level Newton–Krylov–Schwarz Method for the Bidomain Model of Electrocardiology.- On a Shallow Water Model for Non-Newtonian Fluids.- On Stationary Viscous Incompressible Flow Through a Cascade of Profiles with the Modified Boundary Condition on the Outflow and Large Inflow.- Variational and Heterogeneous Multiscale Methods.- Discrete Dislocation Dynamics and Mean Curvature Flow.- Non-Symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction–Diffusion system.- Efficiency of Shock Capturing Schemes for Burgers’ Equation with Boundary Uncertainty.- FEM Techniques for the LCR Reformulation of Viscoelastic Flow Problems.- A Posteriori Estimates for Variational Inequalities.- Review on Longest Edge Nested Algorithms.- Simulation of Spray Painting in Automotive Industry.- Numerical Simulation of the Electrohydrodynamic Generation of Droplets by the Boundary Element Method.- A General Pricing Technique Based on Theta-Calculus and Sparse Grids.- A Posteriori Error Estimation in Mixed Finite Element Methods for Signorini’s Problem.- Solution of an Inverse Problem for a 2-D Turbulent Flow Around an Airfoil.- On Skew-Symmetric Splitting and Entropy Conservation Schemes for the Euler Equations.- Ideal Curved Elements and the Discontinuous Galerkin Method.- Analysis of the Parallel Finite Volume Solver for the Anisotropic Allen–Cahn Equation in 3D.- Stabilized Finite Element Approximations of Flow Over a Self-Oscillating Airfoil.- Multigrid Methods for Elliptic Optimal Control Problems with Neumann Boundary Control.- Extension of the Complete Flux Scheme to Time-Dependent Conservation Laws.- Solution of Navier–Stokes Equations Using FEM with Stabilizing Subgrid.- Multigrid Methods for Control-Constrained Elliptic Optimal Control Problems.- Modelling the New Soil Improvement Method Biogrout: Extension to 3D.- Angle Conditions for Discrete Maximum Principles in Higher-Order FEM.- Unsteady High Order Residual Distribution Schemes with Applications to Linearised Euler Equations.- Implicit–Explicit Backward Difference Formul