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

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.​

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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.?

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