Numerical Mathematics and Advanced Applications 2011: Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011

✍ Scribed by P. F. Antonietti, L. Beirão da Veiga, M. Verani (auth.), Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 810
• Edition: 1
• Category: Library

✦ Synopsis

The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific computing, numerical analysis, and practical use of modern numerical techniques and algorithms in various applications. New results on finite element methods, multiscale methods, numerical linear algebra, and finite difference schemes are presented. A range of applications include computational problems from fluid dynamics, materials, image processing, and molecular dynamics.​

✦ Table of Contents

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
An Adaptive MFD Method for the Obstacle Problem....Pages 3-12
Reconstruction-Based a Posteriori Error Estimators for the Transport Equation....Pages 13-21
A Posteriori Error Estimation by a Q 1 ∕ Q 2 Hierarchical Basis....Pages 23-31
Adaptive Finite Elements with Anisotropic Meshes....Pages 33-42
Anisotropic Recovery-Based a Posteriori Error Estimators for Advection-Diffusion-Reaction Problems....Pages 43-51
On Computable Bounds of Modeling Errors....Pages 53-61
Anisotropic Finite Elements for Fluid-Structure Interactions....Pages 63-70
Adaptive Finite Elements for Semilinear Reaction-Diffusion Systems on Growing Domains....Pages 71-80
Front Matter....Pages 81-81
Moment-Based Boundary Conditions for Lattice Boltzmann Magnetohydrodynamics....Pages 83-90
A-Priori Convergence Analysis of a Discontinuous Galerkin Time-Domain Method to Solve Maxwell’s Equations on Hybrid Meshes....Pages 91-99
Stabilization of a Degenerate Minimization Problem with the Single-Layer Potential....Pages 101-109
Second Order Finite Volume Scheme for Maxwell’s Equations with Discontinuous Dielectric Permittivity on Prismatic Meshes....Pages 111-118
A Hybridizable Discontinuous Galerkin Method for Solving 3D Time-Harmonic Maxwell’s Equations....Pages 119-128
Locally Implicit Discontinuous Galerkin Methods for Time-Domain Maxwell’s Equations....Pages 129-137
Front Matter....Pages 139-139
Application of the Level-Set Method to a Mixed-Mode and Curvature Driven Stefan Problem....Pages 141-148
On an Efficient Family of Simultaneous Methods for Finding Polynomial Multiple Zeros....Pages 149-156
Multilevel Sparse Kernel-Based Interpolation Using Conditionally Positive Definite Radial Basis Functions....Pages 157-164
A Numerical Remark on the Time Discretization of Contact Problems in Nonlinear Elasticity....Pages 165-173
Numerical Simulation of Anisotropic Surface Diffusion of Graphs....Pages 175-182
A Special Multiwavelet Basis for Unbounded Product Domains....Pages 183-190
Front Matter....Pages 139-139
Parameter Estimation Problems in Physically Based Image Processing....Pages 191-199
Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels....Pages 201-208
Curvature Calculations for the Level-Set Method....Pages 209-217
Multimesh ℋ 2 -Optimal Model Reduction for Discretized PDEs....Pages 219-226
The Computation of Long Time Hamiltonian Trajectories for Molecular Systems via Global Geodesics....Pages 227-234
Front Matter....Pages 235-235
A Nonlinear Local Projection Stabilization for Convection-Diffusion-Reaction Equations....Pages 237-245
An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems....Pages 247-255
A Robust Numerical Method for a Singularly Perturbed Parabolic Convection-Diffusion Problem with a Degenerating Convective Term and a Discontinuous Right-Hand Side....Pages 257-265
Finite Element Methods with Artificial Diffusion for Hamilton-Jacobi-Bellman Equations....Pages 267-274
Adaptive Computation of Parameters in Stabilized Methods for Convection-Diffusion Problems....Pages 275-283
The Numerical Study of Singularly Perturbed Differential-Difference Turning Point Problems: Twin Boundary Layers....Pages 285-292
Stability of Difference Schemes on Uniform Grids for a Singularly Perturbed Convection-Diffusion Equation....Pages 293-301
Difference Scheme of the Solution Decomposition Method for a Singularly Perturbed Parabolic Convection-Diffusion Equation....Pages 303-311
Front Matter....Pages 313-313
Implementation of the Continuous-Discontinuous Galerkin Finite Element Method....Pages 315-322
Towards A Posteriori Error Estimators for Realistic Problems in Incompressible Miscible Displacement....Pages 323-331
Application of hp –Adaptive Discontinuous Galerkin Methods to Bifurcation Phenomena in Pipe Flows....Pages 333-340
hp –Adaptive Two-Grid Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows....Pages 341-349
Discontinuous Galerkin Methods for Eigenvalue Problems on Anisotropic Meshes....Pages 351-359
Two Dimensional Compressible Fluid-Structure Interaction Model Using DGFEM....Pages 361-368
On ε -Uniform Error Estimates For Singularly Perturbed Problems in the DG Method....Pages 369-378
Front Matter....Pages 313-313
Two-Sided a Posteriori Error Estimates for the DGMs for the Heat Equation....Pages 379-387
Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods....Pages 389-397
Front Matter....Pages 399-399
An Immersed Boundary Method for Drug Release Applied to Drug Eluting Stents Dedicated to Arterial Bifurcations....Pages 401-409
Coupling Hdiv an H1 Finite Element Approximations for a Poisson Problem....Pages 411-417
Nodal Interpolation Between First-Order Finite Element Spaces in 1D is Uniformly H 1 -Stable....Pages 419-427
M-Adaptation Method for Acoustic Wave Equation on Rectangular Meshes....Pages 429-439
Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations....Pages 441-448
Geodesic Finite Elements in Spaces of Zero Curvature....Pages 449-457
Design and Verification of the MPFA Scheme for Three-Dimensional Phase Field Model of Dendritic Crystal Growth....Pages 459-467
An Evolving Surface Finite Element Method for the Numerical Solution of Diffusion Induced Grain Boundary Motion....Pages 469-477
Front Matter....Pages 479-479
Numerical Modeling of Stably Stratified Fluid Flow....Pages 481-488
Numerical Simulation of a Rising Bubble in Viscoelastic Fluids....Pages 489-497
A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids....Pages 499-507
Higher Order Galerkin Time Discretization for Nonstationary Incompressible Flow....Pages 509-517
On the Density-Enthalpy Method for the 2 D Darcy Flow....Pages 519-527
Numerical Study of Effect of Stress Tensor for Viscous and Viscoelastic Fluids Flow....Pages 529-537
Numerical Simulations of Turbulent 3D Flow in Channel Junction....Pages 539-547
Weak Formulation of the Problem of Modelling the Steady Flow of a Viscous Incompressible Liquid Through a Rotating Radial Blade Machine....Pages 549-557
Combined Mixed-Hybrid Finite Element–Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media....Pages 559-567
Numerical Comparison of Unsteady Channel Compressible Flow with Low Inlet Mach Numbers....Pages 569-577
Front Matter....Pages 479-479
Numerical Simulation of Generalized Newtonian and Oldroyd-B Fluids....Pages 579-586
On the Construction of Analytic Solutions to a Visco–Elasticity Model for Soft Tissues....Pages 587-595
Extending the Volume of Fluid Method to Higher Order Accuracy....Pages 597-605
Stability Estimates and Numerical Comparison of Second Order Time-Stepping Schemes for Fluid-Structure Interactions....Pages 607-615
Various Flow Equations to Model the New Soil Improvement Method Biogrout....Pages 617-624
Front Matter....Pages 625-632
A Fast GPU-Accelerated Mixed-Precision Strategy for Fully Nonlinear Water Wave Computations....Pages 633-641
3D Helmholtz Krylov Solver Preconditioned by a Shifted Laplace Multigrid Method on Multi-GPUs....Pages 643-643
CUDA-Based Parallel Preconditioning for RANS Simulations of Indoor Airflow....Pages 645-652
Shallow Water Simulation on GPUs for Sparse Domains....Pages 653-661
Parallel Implementation of Multilevel BDDC....Pages 663-671
Front Matter....Pages 673-680
Forecasting Production in an Oil Reservoir Simulation and Its Challenges....Pages 681-689
Numerical Analysis for an Upscaled Model for Dissolution and Precipitation in Porous Media....Pages 691-691
A Variational Multiscale Method for Poisson’s Equation in Mixed Form....Pages 693-701
Adaptive Geometrical Multiscale Modeling for Hydrodynamic Problems....Pages 703-711
Front Matter....Pages 713-721
On the Superlinear Convergence of MINRES....Pages 723-730
Fluid-Structure Interaction: Acceleration of Strong Coupling by Preconditioning of the Fixed-Point Iteration....Pages 731-731
Some Experiences with Multilevel Krylov Methods....Pages 733-740
Preconditioning of Elasticity Problems with Discontinuous Material Parameters....Pages 741-749
Front Matter....Pages 751-760
A Robust Preconditioner for Distributed Optimal Control for Stokes Flow with Control Constraints....Pages 761-769
Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format....Pages 731-731
Front Matter....Pages 771-779
Two Mathematical Tools to Analyze Metastable Stochastic Processes....Pages 781-788
On the Reliability of Error Indication Methods for Problems with Uncertain Data....Pages 789-789
A Reduced Basis Method for the Simulation of American Options....Pages 791-810
SAVU: A Statistical Approach for Uncertain Data in Dynamics of Axially Moving Materials....Pages 811-819
On Singularity of Fisher Information Matrix for Stochastic Processes Under High Frequency Sampling....Pages 821-829
Hierarchical Model Reduction: Three Different Approaches....Pages 831-839
....Pages 841-849

✦ Subjects

Computational Mathematics and Numerical Analysis;Applications of Mathematics;Numerical Analysis;Computational Science and Engineering;Mathematical Modeling and Industrial Mathematics;Theoretical, Mathematical and Computational Physi