J. Chleboun (auth.), Karl Kunisch, Günther Of, Olaf Steinbach (eds.)9783540697763, 3540697764
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 of 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 :
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
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