Numerical Mathematics and Advanced Applications Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007

The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) is a series of conferences held every two years to provide a forum for discussion on recent aspects of numerical mathematics and their applications. The ?rst ENUMATH conference was held in Paris (1995), and the series continued by the one in Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), and Santiago de Compostela (2005). This volume contains a selection of invited plenary lectures, papers presented in minisymposia, and contributed papers of ENUMATH 2007, held in Graz, Austria, September 10–14, 2007. We are happy that so many people have shown their interest in this conference. In addition to the ten invited presentations and the public lecture, we had more than 240 talks in nine minisymposia and ?fty four sessions of contributed talks, and about 316 participants from all over the world, specially from Europe. A total of 98 contributions appear in these proceedings. Topics include theoretical aspects of new numerical techniques and algorithms, as well as to applications in engineering and science. The book will be useful for a wide range of readers, giving them an excellent overview of the most modern methods, techniques, algorithms and results in numerical mathematics, scienti?c computing and their applications. We would like to thank all the participants for the attendance and for their va- ablecontributionsanddiscussionsduringtheconference.Specialthanksgothe m- isymposium organizers, who made a large contribution to the conference, the chair persons, and all speakers.

Plenary Lectures.- The Worst Scenario Method: A Red Thread Running Through Various Approaches to Problems with Uncertain Input Data.- Boundary and Finite Element Domain Decomposition Methods.- Discontinuous Galerkin Elements for Reissner-Mindlin Plates.- Contributed Lectures.- Functional Type A Posteriori Error Estimates for Maxwell’s Equations.- Space–Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes.- A Posteriori Error Analysis for Kirchhoff Plate Elements.- Adaptive Finite Element Simulation of Relaxed Models for Liquid-Solid Phase Transition.- A Numerical Study of the Interaction of Blood Flow and Drug Release from Cardiovascular Stents.- Numerical Modelling of Epidermal Wound Healing.- Model of Multiple Lexicographical Programming Applied in Cervical Cancer Screening.- A Finite Element Model for Bone Ingrowth into a Prosthesis.- Space and Time Adaptive Calculation of Transient 3D Magnetic Fields.- A Boundary Integral Formulation for Nonlocal Electrostatics.- Efficient Solution of Algebraic Bernoulli Equations Using ?-Matrix Arithmetic.- A Purely Algebraic Approach to Preconditioning Based on Hierarchical LU Factorizations.- Additive Schwarz Preconditioners for Degenerate Problems with Isotropic Coefficients.- Performance Analysis of Parallel Algebraic Preconditioners for Solving the RANS Equations Using Fluctuation Splitting Schemes.- On Least-Squares Approximate Inverse-Based Preconditioners.- On the Construction of Stable B-Spline Wavelet Bases.- The Performance of a Multigrid Algorithm for the Acoustic Single Layer Equation.- Constraints Coefficients in hp-FEM.- A Boundary Element Algorithm for the Dirichlet Eigenvalue Problem of the Laplace Operator.- On Efficient Solution of Linear Systems Arising in hp-FEM.- Coupling Two Scalar Conservation Laws via Dafermos’ Self-Similar Regularization.- A Sharp Interface and Fully Conservative Scheme for Computing Nonclassical Shocks.- A Numerical Descent Method for an Inverse Problem of a Scalar Conservation Law Modelling Sedimentation.- PSI Solution of Convection-Diffusion Equations with Data in L1.- High Order Two Dimensional Numerical Schemes for the Coupling of Transport Equations and Shallow Water Equations.- Well-Balanced High-Order MUSTA Schemes for Non-Conservative Hyperbolic Systems.- Local Time Stepping for Implicit-Explicit Methods on Time Varying Grids.- A ‘TVD-like’ Scheme for Conservation Laws with Source Terms.- Application of the WAF Method to Shallow Water Equations with Pollutant and Non-Constant Bottom.- A Third Order Method for Convection-Diffusion Equations with a Delay Term.- A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries.- On the Choice of Parameters in Stabilization Methods for Convection–Diffusion Equations.- On Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws.- An Augmented DG Scheme for Porous Media Equations.- A Remark to the DGFEM for Nonlinear Convection-Diffusion Problems Applied on Nonconforming Meshes.- BDF-DGFE Method for the Compressible Navier-Stokes Equations.- Discontinuous Galerkin Method for the Numerical Solution of Inviscid and Viscous Compressible Flow.- Numerical Integration in the Discontinuous Galerkin Method for Nonlinear Convection-Diffusion Problems in 3D.- Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems.- A Domain Decomposition Method Derived from the Primal Hybrid Formulation for 2nd Order Elliptic Problems.- A Posteriori Error Analysis of Penalty Domain Decomposition Methods for Linear Elliptic Problems.- BETI-DP Methods in Unbounded Domains.- Domain Decomposition and Model Reduction of Systems with Local Nonlinearities.- An Adaptive Discontinuous Galerkin Scheme for Second Order Problems with an Interface.- Abstract Sensitivity Analysis for Nonlinear Equations and Applications.- Multiscale Analysis for Jump Processes in Finance.- A Hybrid Numerical Scheme for Aerosol Dynamics.- Numerical Study of Mixed Finite Element and Multi Point Flux Approximation of Flow in Porous Media.- Local Projection Stabilization for the Oseen System on Anisotropic Cartesian Meshes.- Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels.- Incomplete Interior Penalty Galerkin Method for a Nonlinear Convection-Diffusion Equation.- Numerical Simulations of Incompressible Laminar Flow for Newtonian and Non-Newtonian Fluids.- Numerical Solution of 2D and 3D Unsteady Viscous Flows.- Local Projection Stabilization of Finite Element Methods for Incompressible Flows.- A Numerical Study of Local Projection Stabilisations Applied to Oseen Problems.- Involutive Completion to Avoid LBB Condition.- Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers.- A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media.- Applying Local Projection Stabilization to inf-sup Stable Elements.- Calibration of Model and Discretization Parameters for Turbulent Channel Flow.- Numerical Solution of Transonic and Supersonic 2D and 3D Fluid–Elastic Structure Interaction Problems.- Numerical Simulations of Flow Induced Vibrations of a Profile.- A Semi-Implicit Algorithm Based on the Augmented Lagrangian Method for Fluid-Structure Interaction.- Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem.- On Numerical Approximation of Fluid-Structure Interaction Problems.- Fishways Design: An Application of the Optimal Control Theory.- Moving Domain by Galerkin-Level Set Strategy: Application to Shape Geodesics.- Numerical Analysis of a Control and State Constrained Elliptic Control Problem with Piecewise Constant Control Approximations.- Globalization of Nonsmooth Newton Methods for Optimal Control Problems.- An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization.- Semi–Monotonic Augmented Lagrangians for Optimal Control and Parameter Identification.- An Optimal Control Problem for Stochastic Linear PDE’s Driven by a Gaussian White Noise.- A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems.- A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems.- Multigrid Methods for Linear Elliptic Optimal Control Problems.- An Active Curve Approach for Tomographic Reconstruction of Binary Radially Symmetric Objects.- A Single-Pass Scheme for the Mean Curvature Motion of Convex Curves.- A Semi-Lagrangian Approximation of Min–Max Type for the Stationary Mean Curvature Equation.- Topological Derivative Based Methods for Non–lDestructive Testing.- A Characteristics Driven Fast Marching Method for the Eikonal Equation.- Hierarchical Model Reduction for Advection-Diffusion-Reaction Problems.- A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory.- On a Variational Approximation of the Effective Hamiltonian.- Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction.- Reduced Order Models (POD) for Calibration Problems in Finance.- A Collocation Method for Quadratic Control Problems Governed by Ordinary Elliptic Differential Equations.- A Road Traffic Model with Overtaking: Continuation of the Oscillatory Patterns.- A Second Order Scheme for Solving Optimization-Constrained Differential Equations with Discontinuities.- Optimal Load Changes for a Molten Carbonate Fuel Cell Model.- Differential DAE Index for Reactive Euler Equations.- Application of a First Order Asymptotic Method for Modeling Singularly Perturbed BVPs.- Newton-Like Solver for Elastoplastic Problems with Hardening and its Local Super-Linear Convergence.- On a Fictitious Domain Method for Unilateral Problems.- Bifurcations in Contact Problems with Local Coulomb Friction.- Point Load on a Shell.