Numerical Mathematics and Advanced Applications

by Kunisch, Karl; Of, Gunther; Steinbach, Olaf

• ISBN13: 9783540697763
• ISBN10: 3540697764
• Format: Hardcover
• Copyright: 2008-10-04
• Publisher: Springer Verlag

Summary

The European Conference on Numerical Mathematics and Advanced Applications(ENUMATH) is a series of meetings held every two years to provide a forum for discussion on recent aspects of numerical mathematics and their applications. These proceedings contain a selection of invited plenary lectures, papers presented in minisymposia, and contributed papers. 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, scientific computing and their applications.

Table of Contents

Plenary Lectures
The Worst Scenario Method: A Red Thread Running Through VariousApproaches to Problems with Uncertain Input Data	p. 3
Boundary and Finite Element Domain Decomposition Methods	p. 15
Discontinuous Galerkin Elements for Reissner-Mindlin Plates	p. 27
Contributed Lectures
A Posteriori Error Estimation and Adaptive Methods
Functional Type A Posteriori Error Estimates for Maxwell's Equations	p. 41
Space-Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes	p. 49
A Posteriori Error Analysis for Kirchhoff Plate Elements	p. 57
Adaptive Finite Element Simulation of Relaxed Models for Liquid-Solid Phase Transition	p. 65
Biomedical Applications
A Numerical Study of the Interaction of Blood Flow and Drug Release from Cardiovascular Stents	p. 75
Numerical Modelling of Epidermal Wound Healing	p. 83
Model of Multiple Lexicographical Programming Applied in Cervical Cancer Screening	p. 91
A Finite Element Model for Bone Ingrowth into a Prosthesis	p. 99
Computational Electromagnetism
Space and Time Adaptive Calculation of Transient 3D Magnetic Fields	p. 109
A Boundary Integral Formulation for Nonlocal Electrostatics	p. 117
Computational Methods, Preconditioners, Solvers
Efficient Solution of Algebraic Bernoulli Equations Using <$>\cal {H}<$>-Matrix Arithmetic	p. 127
A Purely Algebraic Approach to Preconditioning Based on Hierarchical LU Factorizations	p. 135
Additive Schwarz Preconditioners for Degenerate Problems with Isotropic Coefficients	p. 143
Performance Analysis of Parallel Algebraic Preconditioners for Solving the RANS Equations Using Fluctuation Splitting Schemes	p. 151
On Least-Squares Approximate Inverse-Based Preconditioners	p. 159
On the Construction of Stable B-Spline Wavelet Bases	p. 167
The Performance of a Multigrid Algorithm for the Acoustic Single Layer Equation	p. 175
Constraints Coefficients in hp-FEM	p. 183
A Boundary Element Algorithm for the Dirichlet Eigenvalue Problem of the Laplace Operator	p. 191
On Efficient Solution of Linear Systems Arising in hp-FEM	p. 199
Convection, Diffusion, Conservation, and Hyperbolic Systems
Coupling Two Scalar Conservation Laws via Dafermos' Self-Similar Regularization	p. 209
A Sharp Interface and Fully Conservative Scheme for Computing Nonclassical Shocks	p. 217
A Numerical Descent Method for an Inverse Problem of a Scalar Conservation Law Modelling Sedimentation	p. 225
PSI Solution of Convection-Diffusion Equations with Data in L1	p. 233
High Order Two Dimensional Numerical Schemes for the Coupling of Transport Equations and Shallow Water Equations	p. 241
Well-Balanced High-Order MUSTA Schemes for Non-Conservative Hyperbolic Systems	p. 249
Local Time Stepping for Implicit-Explicit Methods on Time Varying Grids	p. 257
A `TVD-like' Scheme for Conservation Laws with Source Terms	p. 265
Application of the WAF Method to Shallow Water Equations with Pollutant and Non-Constant Bottom	p. 273
A Third Order Method for Convection-Diffusion Equations with a Delay Term	p. 281
A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries	p. 289
On the Choice of Parameters in Stabilization Methods for Convection-Diffusion Equations	p. 297
On Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws	p. 305
Discontinuous Galerkin Methods
An Augmented DG Scheme for Porous Media Equations	p. 315
A Remark to the DGFEM for Nonlinear Convection-Diffusion Problems Applied on Nonconforming Meshes	p. 323
BDF-DGFE Method for the Compressible Navier-Stokes Equations	p. 331
Discontinuous Galerkin Method for the Numerical Solution of Inviscid and Viscous Compressible Flow	p. 339
Numerical Integration in the Discontinuous Galerkin Method for Nonlinear Convection-Diffusion Problems in 3D	p. 347
Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems	p. 355
Domain Decomposition Methods
A Domain Decomposition Method Derived from the Primal Hybrid Formulation for 2nd Order Elliptic Problems	p. 365
A Posteriori Error Analysis of Penalty Domain Decomposition Methods for Linear Elliptic Problems	p. 373
BETI-DP Methods in Unbounded Domains	p. 381
Domain Decomposition and Model Reduction of Systems with Local Nonlinearities	p. 389
An Adaptive Discontinuous Galerkin Scheme for Second Order Problems with an Interface	p. 397
Finance, Stochastic Applications
Abstract Sensitivity Analysis for Nonlinear Equations and Applications	p. 407
Multiscale Analysis for Jump Processes in Finance	p. 415
Fluid Mechanics
A Hybrid Numerical Scheme for Aerosol Dynamics	p. 425
Numerical Study of Mixed Finite Element and Multi Point Flux Approximation of Flow in Porous Media	p. 433
Local Projection Stabilization for the Oseen System on Anisotropic Cartesian Meshes	p. 441
Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels	p. 449
Incomplete Interior Penalty Galerkin Method for a Nonlinear Convection-Diffusion Equation	p. 457
Numerical Simulations of Incompressible Laminar Flow for Newtonian and Non-Newtonian Fluids	p. 465
Numerical Solution of 2D and 3D Unsteady Viscous Flows	p. 473
Local Projection Stabilization of Finite Element Methods for Incompressible Flows	p. 481
A Numerical Study of Local Projection Stabilisations Applied to Oseen Problems	p. 489
Involutive Completion to Avoid LBB Condition	p. 497
Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers	p. 505
A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media	p. 513
Applying Local Projection Stabilization to inf-sup Stable Elements	p. 521
Calibration of Model and Discretization Parameters for Turbulent Channel Flow	p. 529
Fluid-Structure Interaction
Numerical Solution of Transonic and Supersonic 2D and 3D Fluid-Elastic Structure Interaction Problems	p. 539
Numerical Simulations of Flow Induced Vibrations of a Profile	p. 547
A Semi-Implicit Algorithm Based on the Augmented Lagrangian Method for Fluid-Structure Interaction	p. 555
Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem	p. 563
On Numerical Approximation of Fluid-Structure Interaction Problems	p. 571
Optimal Control Problems
Fishways Design: An Application of the Optimal Control Theory	p. 581
Moving Domain by Galerkin-Level Set Strategy: Application to Shape Geodesics	p. 589
Numerical Analysis of a Control and State Constrained Elliptic Control Problem with Piecewise Constant Control Approximations	p. 597
Globalization of Nonsmooth Newton Methods for Optimal Control Problems	p. 605
An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization	p. 613
Semi-Monotonic Augmented Lagrangians for Optimal Control and Parameter Identification	p. 621
An Optimal Control Problem for Stochastic Linear PDE's Driven by a Gaussian White Noise	p. 629
A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems	p. 637
A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems	p. 645
Multigrid Methods for Linear Elliptic Optimal Control Problems	p. 653
Optimization, Inverse Problems
An Active Curve Approach for Tomographic Reconstruction of Binary Radially Symmetric Objects	p. 663
A Single-Pass Scheme for the Mean Curvature Motion of Convex Curves	p. 671
A Semi-Lagrangian Approximation of Min-Max Type for the Stationary Mean Curvature Equation	p. 679
Topological Derivative Based Methods for Non-Destructive Testing	p. 687
A Characteristics Driven Fast Marching Method for the Eikonal Equation	p. 695
Hierarchical Model Reduction for Advection-Diffusion-Reaction Problems	p. 703
A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory	p. 711
On a Variational Approximation of the Effective Hamiltonian	p. 719
Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction	p. 727
Reduced Order Models (POD) for Calibration Problems in Finance	p. 735
Ordinary Differential Equations
A Collocation Method for Quadratic Control Problems Governed by Ordinary Elliptic Differential Equations	p. 745
A Road Traffic Model with Overtaking: Continuation of the Oscillatory Patterns	p. 753
A Second Order Scheme for Solving Optimization-ConstrainedDifferential Equations with Discontinuities	p. 761
Optimal Load Changes for a Molten Carbonate Fuel Cell Model	p. 769
Differential DAE Index for Reactive Euler Equations	p. 777
Application of a First Order Asymptotic Method for Modeling Singularly Perturbed BVPs	p. 785
Solid Mechanics
Newton-Like Solver for Elastoplastic Problems with Hardening and its Local Super-Linear Convergence	p. 795
On a Fictitious Domain Method for Unilateral Problems	p. 803
Bifurcations in Contact Problems with Local Coulomb Friction	p. 811
Point Load on a Shell	p. 819
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