Numerical Mathematics and Advanced Applications 2009 (eBook)

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 Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems.- A Cut-Cell Finite-Element Method for a Discontinuous Switch Model for Wound Closure.