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

Front Matter....Pages i-xv
The Worst Scenario Method: A Red Thread Running Through Various Approaches to Problems with Uncertain Input Data....Pages 3-14
Boundary and Finite Element Domain Decomposition Methods....Pages 15-26
Discontinuous Galerkin Elements for Reissner-Mindlin Plates....Pages 27-36
Functional Type A Posteriori Error Estimates for Maxwell’s Equations....Pages 41-48
Space–Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes....Pages 49-56
A Posteriori Error Analysis for Kirchhoff Plate Elements....Pages 57-64
Adaptive Finite Element Simulation of Relaxed Models for Liquid-Solid Phase Transition....Pages 65-72
A Numerical Study of the Interaction of Blood Flow and Drug Release from Cardiovascular Stents....Pages 75-82
Numerical Modelling of Epidermal Wound Healing....Pages 83-90
Model of Multiple Lexicographical Programming Applied in Cervical Cancer Screening....Pages 91-98
A Finite Element Model for Bone Ingrowth into a Prosthesis....Pages 99-106
Space and Time Adaptive Calculation of Transient 3D Magnetic Fields....Pages 109-116
A Boundary Integral Formulation for Nonlocal Electrostatics....Pages 117-124
Efficient Solution of Algebraic Bernoulli Equations Using ℋ-Matrix Arithmetic....Pages 127-134
A Purely Algebraic Approach to Preconditioning Based on Hierarchical LU Factorizations....Pages 135-142
Additive Schwarz Preconditioners for Degenerate Problems with Isotropic Coefficients....Pages 143-150
Performance Analysis of Parallel Algebraic Preconditioners for Solving the RANS Equations Using Fluctuation Splitting Schemes....Pages 151-158
On Least-Squares Approximate Inverse-Based Preconditioners....Pages 159-166
On the Construction of Stable B-Spline Wavelet Bases....Pages 167-174
The Performance of a Multigrid Algorithm for the Acoustic Single Layer Equation....Pages 175-182
Constraints Coefficients in hp -FEM....Pages 183-190
A Boundary Element Algorithm for the Dirichlet Eigenvalue Problem of the Laplace Operator....Pages 191-198
On Efficient Solution of Linear Systems Arising in hp -FEM....Pages 199-206
Coupling Two Scalar Conservation Laws via Dafermos’ Self-Similar Regularization....Pages 209-216
A Sharp Interface and Fully Conservative Scheme for Computing Nonclassical Shocks....Pages 217-224
A Numerical Descent Method for an Inverse Problem of a Scalar Conservation Law Modelling Sedimentation....Pages 225-232
PSI Solution of Convection-Diffusion Equations with Data in L 1 ....Pages 233-240
High Order Two Dimensional Numerical Schemes for the Coupling of Transport Equations and Shallow Water Equations....Pages 241-248
Well-Balanced High-Order MUSTA Schemes for Non-Conservative Hyperbolic Systems....Pages 249-256
Local Time Stepping for Implicit-Explicit Methods on Time Varying Grids....Pages 257-264
A ‘TVD-like’ Scheme for Conservation Laws with Source Terms....Pages 265-272
Application of the WAF Method to Shallow Water Equations with Pollutant and Non-Constant Bottom....Pages 273-280
A Third Order Method for Convection-Diffusion Equations with a Delay Term....Pages 281-288
A Third Order WLSQR Scheme on Unstructured Meshes with Curvilinear Boundaries....Pages 289-296
On the Choice of Parameters in Stabilization Methods for Convection–Diffusion Equations....Pages 297-304
On Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws....Pages 305-312
An Augmented DG Scheme for Porous Media Equations....Pages 315-322
A Remark to the DGFEM for Nonlinear Convection-Diffusion Problems Applied on Nonconforming Meshes....Pages 323-330
BDF-DGFE Method for the Compressible Navier-Stokes Equations....Pages 331-338
Discontinuous Galerkin Method for the Numerical Solution of Inviscid and Viscous Compressible Flow....Pages 339-346
Numerical Integration in the Discontinuous Galerkin Method for Nonlinear Convection-Diffusion Problems in 3D....Pages 347-354
Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems....Pages 355-362
A Domain Decomposition Method Derived from the Primal Hybrid Formulation for 2nd Order Elliptic Problems....Pages 365-372
A Posteriori Error Analysis of Penalty Domain Decomposition Methods for Linear Elliptic Problems....Pages 373-380
BETI-DP Methods in Unbounded Domains....Pages 381-388
Domain Decomposition and Model Reduction of Systems with Local Nonlinearities....Pages 389-396
An Adaptive Discontinuous Galerkin Scheme for Second Order Problems with an Interface....Pages 397-404
Abstract Sensitivity Analysis for Nonlinear Equations and Applications....Pages 407-414
Multiscale Analysis for Jump Processes in Finance....Pages 415-422
A Hybrid Numerical Scheme for Aerosol Dynamics....Pages 425-432
Numerical Study of Mixed Finite Element and Multi Point Flux Approximation of Flow in Porous Media....Pages 433-440
Local Projection Stabilization for the Oseen System on Anisotropic Cartesian Meshes....Pages 441-448
Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels....Pages 449-456
Incomplete Interior Penalty Galerkin Method for a Nonlinear Convection-Diffusion Equation....Pages 457-464
Numerical Simulations of Incompressible Laminar Flow for Newtonian and Non-Newtonian Fluids....Pages 465-472
Numerical Solution of 2D and 3D Unsteady Viscous Flows....Pages 473-480
Local Projection Stabilization of Finite Element Methods for Incompressible Flows....Pages 481-488
A Numerical Study of Local Projection Stabilisations Applied to Oseen Problems....Pages 489-496
Involutive Completion to Avoid LBB Condition....Pages 497-504
Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers....Pages 505-512
A Mixed Hybrid Finite Element Discretization Scheme for Reactive Transport in Porous Media....Pages 513-520
Applying Local Projection Stabilization to inf-sup Stable Elements....Pages 521-528
Calibration of Model and Discretization Parameters for Turbulent Channel Flow....Pages 529-536
Numerical Solution of Transonic and Supersonic 2D and 3D Fluid–Elastic Structure Interaction Problems....Pages 539-546
Numerical Simulations of Flow Induced Vibrations of a Profile....Pages 547-554
A Semi-Implicit Algorithm Based on the Augmented Lagrangian Method for Fluid-Structure Interaction....Pages 555-562
Automated Multi-Level Substructuring for a Fluid-Solid Vibration Problem....Pages 563-570
On Numerical Approximation of Fluid-Structure Interaction Problems....Pages 571-578
Fishways Design: An Application of the Optimal Control Theory....Pages 581-588
Moving Domain by Galerkin-Level Set Strategy: Application to Shape Geodesics....Pages 589-596
Numerical Analysis of a Control and State Constrained Elliptic Control Problem with Piecewise Constant Control Approximations....Pages 597-604
Globalization of Nonsmooth Newton Methods for Optimal Control Problems....Pages 605-612
An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization....Pages 613-620
Semi–Monotonic Augmented Lagrangians for Optimal Control and Parameter Identification....Pages 621-628
An Optimal Control Problem for Stochastic Linear PDE’s Driven by a Gaussian White Noise....Pages 629-636
A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems....Pages 637-644
A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems....Pages 645-652
Multigrid Methods for Linear Elliptic Optimal Control Problems....Pages 653-660
An Active Curve Approach for Tomographic Reconstruction of Binary Radially Symmetric Objects....Pages 663-670
A Single-Pass Scheme for the Mean Curvature Motion of Convex Curves....Pages 671-678
A Semi-Lagrangian Approximation of Min–Max Type for the Stationary Mean Curvature Equation....Pages 679-686
Topological Derivative Based Methods for Non–lDestructive Testing....Pages 687-694
A Characteristics Driven Fast Marching Method for the Eikonal Equation....Pages 695-702
Hierarchical Model Reduction for Advection-Diffusion-Reaction Problems....Pages 703-710
A Semi-Lagrangian Scheme for the Open Table Problem in Granular Matter Theory....Pages 711-718
On a Variational Approximation of the Effective Hamiltonian....Pages 719-726
Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction....Pages 727-734
Reduced Order Models (POD) for Calibration Problems in Finance....Pages 735-742
A Collocation Method for Quadratic Control Problems Governed by Ordinary Elliptic Differential Equations....Pages 745-752
A Road Traffic Model with Overtaking: Continuation of the Oscillatory Patterns....Pages 753-760
A Second Order Scheme for Solving Optimization-Constrained Differential Equations with Discontinuities....Pages 761-768
Optimal Load Changes for a Molten Carbonate Fuel Cell Model....Pages 769-776
Differential DAE Index for Reactive Euler Equations....Pages 777-784
Application of a First Order Asymptotic Method for Modeling Singularly Perturbed BVPs....Pages 785-792
Newton-Like Solver for Elastoplastic Problems with Hardening and its Local Super-Linear Convergence....Pages 795-802
On a Fictitious Domain Method for Unilateral Problems....Pages 803-810
Bifurcations in Contact Problems with Local Coulomb Friction....Pages 811-818
Point Load on a Shell....Pages 819-826