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

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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.

Author(s): Daniele Boffi (auth.), Gunilla Kreiss, Per Lötstedt, Axel Målqvist, Maya Neytcheva (eds.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010

Language: English
Pages: 850
Tags: Computational Mathematics and Numerical Analysis; Computational Science and Engineering

Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Discrete Differential Forms, Approximation of Eigenvalue Problems, and Application to the p Version of Edge Finite Elements....Pages 3-14
Semi-Implicit DGFE Discretization of the Compressible Navier–Stokes Equations: Efficient Solution Strategy....Pages 15-27
Some Numerical Approaches for Weakly Random Homogenization....Pages 29-45
Goal Oriented, Anisotropic, A Posteriori Error Estimates for the Laplace Equation....Pages 47-58
Front Matter....Pages 59-59
Energy Stability of the MUSCL Scheme....Pages 61-68
Numerical Stabilization of the Melt Front for Laser Beam Cutting....Pages 69-76
Numerical Optimization of a Bioreactor for the Treatment of Eutrophicated Water....Pages 77-85
Finite Element Approximation of a Quasi-3D Model for Estuarian River Flows....Pages 87-95
Convergence of a Mixed Discontinuous Galerkin and Finite Volume Scheme for the 3 Dimensional Vlasov–Poisson–Fokker–Planck System....Pages 97-105
Infrastructure for the Coupling of Dune Grids....Pages 107-114
FEM for Flow and Pollution Transport in a Street Canyon....Pages 115-123
Stabilized Finite Element Methods with Shock-Capturing for Nonlinear Convection–Diffusion-Reaction Models....Pages 125-133
Finite Element Discretization of the Giesekus Model for Polymer Flows....Pages 135-143
A dG Method for the Strain-Rate Formulation of the Stokes Problem Related with Nonconforming Finite Element Methods....Pages 145-153
Numerical Simulation of the Stratified Flow Past a Body....Pages 155-162
A Flexible Updating Framework for Preconditioners in PDE-Based Image Restoration Algorithms....Pages 163-170
Stabilized Finite Element Method for Compressible–Incompressible Diphasic Flows....Pages 171-179
An Immersed Interface Technique for the Numerical Solution of the Heat Equation on a Moving Domain....Pages 181-189
Lid-Driven-Cavity Simulations of Oldroyd-B Models Using Free-Energy-Dissipative Schemes....Pages 191-198
Adaptive Multiresolution Simulation of Waves in Electrocardiology....Pages 199-207
Front Matter....Pages 59-59
On the Numerical Approximation of the Laplace Transform Function from Real Samples and Its Inversion....Pages 209-216
A Motion-Aided Ultrasound Image Sequence Segmentation....Pages 217-225
A High Order Finite Volume Numerical Scheme for Shallow Water System: An Efficient Implementation on GPUs....Pages 227-235
Spectral Analysis for Radial Basis Function Collocation Matrices....Pages 237-244
Finite Element Solution of the Primitive Equations of the Ocean by the Orthogonal Sub-Scales Method....Pages 245-252
Solution of Incompressible Flow Equations by a High-Order Term-by-Term Stabilized Method....Pages 253-260
Solving Large Sparse Linear Systems Efficiently on Grid Computers Using an Asynchronous Iterative Method as a Preconditioner....Pages 261-268
Hierarchical High Order Finite Element Approximation Spaces for H(div) and H(curl)....Pages 269-276
Some Theoretical Results About Stability for IMEX Schemes Applied to Hyperbolic Equations with Stiff Reaction Terms....Pages 277-285
Stable Perfectly Matched Layers for the Schrödinger Equations....Pages 287-295
Domain Decomposition Schemes for Frictionless Multibody Contact Problems of Elasticity....Pages 297-305
Analysis and Acceleration of a Fluid-Structure Interaction Coupling Scheme....Pages 307-315
Second Order Numerical Operator Splitting for 3D Advection–Diffusion-Reaction Models....Pages 317-324
Space-Time DG Method for Nonstationary Convection–Diffusion Problems....Pages 325-333
High Order Finite Volume Schemes for Numerical Solution of Unsteady Flows....Pages 335-342
Multigrid Finite Element Method on Semi-Structured Grids for the Poroelasticity Problem....Pages 343-350
A Posteriori Error Bounds for Discontinuous Galerkin Methods for Quasilinear Parabolic Problems....Pages 351-358
An A Posteriori Analysis of Multiscale Operator Decomposition....Pages 359-367
Goal-Oriented Error Estimation for the Discontinuous Galerkin Method Applied to the Biharmonic Equation....Pages 369-376
Solving Stochastic Collocation Systems with Algebraic Multigrid....Pages 377-385
Front Matter....Pages 59-59
Adaptive Two-Step Peer Methods for Incompressible Navier–Stokes Equations....Pages 387-395
On Hierarchical Error Estimators for Time-Discretized Phase Field Models....Pages 397-405
Nonlinear Decomposition Methods in Elastodynamics....Pages 407-415
An Implementation Framework for Solving High-Dimensional PDEs on Massively Parallel Computers....Pages 417-424
Benchmarking FE-Methods for the Brinkman Problem....Pages 425-432
Finite Element Based Second Moment Analysis for Elliptic Problems in Stochastic Domains....Pages 433-441
On Robust Parallel Preconditioning for Incompressible Flow Problems....Pages 443-450
Hybrid Modeling of Plasmas....Pages 451-458
A Priori Error Estimates for DGFEM Applied to Nonstationary Nonlinear Convection–Diffusion Equation....Pages 459-467
Stable Crank–Nicolson Discretisation for Incompressible Miscible Displacement Problems of Low Regularity....Pages 469-477
Simulations of 3D/4D Precipitation Processes in a Turbulent Flow Field....Pages 479-487
2D Finite Volume Lagrangian Scheme in Hyperelasticity and Finite Plasticity....Pages 489-496
Local Projection Method for Convection-Diffusion-Reaction Problems with Projection Spaces Defined on Overlapping Sets....Pages 497-505
Numerical Solution of Volterra Integral Equations with Weak Singularities....Pages 507-514
Non-Conforming Finite Element Method for the Brinkman Problem....Pages 515-522
Error Control for Simulations of a Dissociative Quantum System....Pages 523-531
A Comparison of Simplicial and Block Finite Elements....Pages 533-541
Five-Dimensional Euclidean Space Cannot be Conformly Partitioned into Acute Simplices....Pages 543-549
The Discontinuous Galerkin Method for Convection-Diffusion Problems in Time-Dependent Domains....Pages 551-559
A Spectral Time-Domain Method for Computational Electrodynamics....Pages 561-569
Front Matter....Pages 59-59
Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Application....Pages 571-578
Error Estimation and Anisotropic Mesh Refinement for Aerodynamic Flow Simulations....Pages 579-587
A MHD Problem on Unbounded Domains: Coupling of FEM and BEM....Pages 589-597
A Stable and High Order Interface Procedure for Conjugate Heat Transfer Problems....Pages 599-607
Local Time-Space Mesh Refinement for Finite Difference Simulation of Waves....Pages 609-616
Formulation of a Staggered Two-Dimensional Lagrangian Scheme by Means of Cell-Centered Approximate Riemann Solver....Pages 617-625
Optimal Control for River Pollution Remediation....Pages 627-635
An Anisotropic Micro-Sphere Approach Applied to the Modelling of Soft Biological Tissues....Pages 637-644
Anisotropic Adaptation via a Zienkiewicz–Zhu Error Estimator for 2D Elliptic Problems....Pages 645-653
On a Sediment Transport Model in Shallow Water Equations with Gravity Effects....Pages 655-661
Adaptive SQP Method for Shape Optimization....Pages 663-673
Convergence of Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws....Pages 675-682
A Two-Level Newton–Krylov–Schwarz Method for the Bidomain Model of Electrocardiology....Pages 683-691
On a Shallow Water Model for Non-Newtonian Fluids....Pages 693-701
On Stationary Viscous Incompressible Flow Through a Cascade of Profiles with the Modified Boundary Condition on the Outflow and Large Inflow....Pages 703-711
Variational and Heterogeneous Multiscale Methods....Pages 713-720
Discrete Dislocation Dynamics and Mean Curvature Flow....Pages 721-728
Non-Symmetric Algebraic Multigrid Preconditioners for the Bidomain Reaction–Diffusion system....Pages 729-736
Efficiency of Shock Capturing Schemes for Burgers’ Equation with Boundary Uncertainty....Pages 737-745
FEM Techniques for the LCR Reformulation of Viscoelastic Flow Problems....Pages 747-754
Front Matter....Pages 59-59
A Posteriori Estimates for Variational Inequalities....Pages 755-762
Review on Longest Edge Nested Algorithms....Pages 763-770
Simulation of Spray Painting in Automotive Industry....Pages 771-779
Numerical Simulation of the Electrohydrodynamic Generation of Droplets by the Boundary Element Method....Pages 781-789
A General Pricing Technique Based on Theta-Calculus and Sparse Grids....Pages 791-799
A Posteriori Error Estimation in Mixed Finite Element Methods for Signorini’s Problem....Pages 801-808
Solution of an Inverse Problem for a 2-D Turbulent Flow Around an Airfoil....Pages 809-816
On Skew-Symmetric Splitting and Entropy Conservation Schemes for the Euler Equations....Pages 817-827
Ideal Curved Elements and the Discontinuous Galerkin Method....Pages 829-837
Analysis of the Parallel Finite Volume Solver for the Anisotropic Allen–Cahn Equation in 3D....Pages 839-846
Stabilized Finite Element Approximations of Flow Over a Self-Oscillating Airfoil....Pages 847-854
Multigrid Methods for Elliptic Optimal Control Problems with Neumann Boundary Control....Pages 855-863
Extension of the Complete Flux Scheme to Time-Dependent Conservation Laws....Pages 865-873
Solution of Navier–Stokes Equations Using FEM with Stabilizing Subgrid....Pages 875-882
Multigrid Methods for Control-Constrained Elliptic Optimal Control Problems....Pages 883-891
Modelling the New Soil Improvement Method Biogrout: Extension to 3D....Pages 893-900
Angle Conditions for Discrete Maximum Principles in Higher-Order FEM....Pages 901-909
Unsteady High Order Residual Distribution Schemes with Applications to Linearised Euler Equations....Pages 911-919
Implicit–Explicit Backward Difference Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems....Pages 921-928
A Cut-Cell Finite-Element Method for a Discontinuous Switch Model for Wound Closure....Pages 929-936
Back Matter....Pages 937-939