Numerical Mathematics and Advanced Applications 2011

Cangiani, Andrea; Davidchack, Ruslan L.; Georgoulis, Emmanuil; Gorban, Alexander N.; Levesley, Jeremy; Tretyakov, Michael V.

Numerical Mathematics and Advanced Applications 2011

Edited by Andrea Cangiani (), Ruslan L. Davidchack (), Emmanuil Georgoulis (), Alexander N. Gorban (), Jeremy Levesley () and Michael V. Tretyakov ()

in Springer Books from Springer

Date: 2013
Edition: 2013
ISBN: 978-3-642-33134-3
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Chapters in this book:

An Adaptive MFD Method for the Obstacle Problem: P. F. Antonietti, L. Beirão da Veiga and M. Verani
Reconstruction-Based a Posteriori Error Estimators for the Transport Equation: R. Becker, D. Capatina and R. Luce
A Posteriori Error Estimation by a Q 1 ∕ Q 2 Hierarchical Basis: M. Braack and N. Taschenberger
Adaptive Finite Elements with Anisotropic Meshes: W. Huang, L. Kamenski and J. Lang
Anisotropic Recovery-Based a Posteriori Error Estimators for Advection-Diffusion-Reaction Problems: S. Micheletti and S. Perotto
On Computable Bounds of Modeling Errors: S. Repin and T. Samrowski
Anisotropic Finite Elements for Fluid-Structure Interactions: T. Richter
Adaptive Finite Elements for Semilinear Reaction-Diffusion Systems on Growing Domains: C. Venkataraman, O. Lakkis and A. Madzvamuse
Moment-Based Boundary Conditions for Lattice Boltzmann Magnetohydrodynamics: P. J. Dellar
A-Priori Convergence Analysis of a Discontinuous Galerkin Time-Domain Method to Solve Maxwell’s Equations on Hybrid Meshes: C. Durochat and C. Scheid
Stabilization of a Degenerate Minimization Problem with the Single-Layer Potential: S. Ferraz-Leite
Second Order Finite Volume Scheme for Maxwell’s Equations with Discontinuous Dielectric Permittivity on Prismatic Meshes: T. Z. Ismagilov
A Hybridizable Discontinuous Galerkin Method for Solving 3D Time-Harmonic Maxwell’s Equations: L. Li, S. Lanteri and R. Perrussel
Locally Implicit Discontinuous Galerkin Methods for Time-Domain Maxwell’s Equations: L. Moya
Application of the Level-Set Method to a Mixed-Mode and Curvature Driven Stefan Problem: D. den Ouden, F. J. Vermolen, L. Zhao, C. Vuik and J. Sietsma
On an Efficient Family of Simultaneous Methods for Finding Polynomial Multiple Zeros: J. Džunić, M. S. Petković and L. D. Petković
Multilevel Sparse Kernel-Based Interpolation Using Conditionally Positive Definite Radial Basis Functions: E. H. Georgoulis, J. Levesley and F. Subhan
A Numerical Remark on the Time Discretization of Contact Problems in Nonlinear Elasticity: C. Groß, R. Krause and V. Poletti
Numerical Simulation of Anisotropic Surface Diffusion of Graphs: D. H. Hoang and M. Beneš
A Special Multiwavelet Basis for Unbounded Product Domains: S. Kestler
Parameter Estimation Problems in Physically Based Image Processing: M. Klinger
Piecewise Polynomial Collocation for Volterra Integral Equations with Logarithmic Kernels: M. Kolk and A. Pedas
Curvature Calculations for the Level-Set Method: K. Y. Lervåg and Å. Ervik
Multimesh ℋ2-Optimal Model Reduction for Discretized PDEs: S. A. Melchior, V. Legat and P. Van Dooren
The Computation of Long Time Hamiltonian Trajectories for Molecular Systems via Global Geodesics: H. Schwetlick and J. Zimmer
A Nonlinear Local Projection Stabilization for Convection-Diffusion-Reaction Equations: G. R. Barrenechea, V. John and P. Knobloch
An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems: M. Bause, F. Brunner, P. Knabner and F. A. Radu
A Robust Numerical Method for a Singularly Perturbed Parabolic Convection-Diffusion Problem with a Degenerating Convective Term and a Discontinuous Right-Hand Side: C. Clavero, J. L. Gracia, G. I. Shishkin and L. P. Shishkina
Finite Element Methods with Artificial Diffusion for Hamilton-Jacobi-Bellman Equations: M. Jensen and I. Smears
Adaptive Computation of Parameters in Stabilized Methods for Convection-Diffusion Problems: V. John and P. Knobloch
The Numerical Study of Singularly Perturbed Differential-Difference Turning Point Problems: Twin Boundary Layers: P. Rai and K. K. Sharma
Stability of Difference Schemes on Uniform Grids for a Singularly Perturbed Convection-Diffusion Equation: G. Shishkin
Difference Scheme of the Solution Decomposition Method for a Singularly Perturbed Parabolic Convection-Diffusion Equation: L. Shishkina and G. Shishkin
Implementation of the Continuous-Discontinuous Galerkin Finite Element Method: A. Cangiani, J. Chapman, E. H. Georgoulis and M. Jensen
Towards A Posteriori Error Estimators for Realistic Problems in Incompressible Miscible Displacement: J. Chapman and M. Jensen
Application of hp–Adaptive Discontinuous Galerkin Methods to Bifurcation Phenomena in Pipe Flows: K. A. Cliffe, E. J. C. Hall and P. Houston
hp–Adaptive Two-Grid Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows: S. Congreve, P. Houston and T. P. Wihler
Discontinuous Galerkin Methods for Eigenvalue Problems on Anisotropic Meshes: E. J. C. Hall and S. Giani
Two Dimensional Compressible Fluid-Structure Interaction Model Using DGFEM: J. Hasnedlová-Prokopová, M. Feistauer, A. Kosík and V. Kučera
On ε-Uniform Error Estimates For Singularly Perturbed Problems in the DG Method: V. Kučera
Two-Sided a Posteriori Error Estimates for the DGMs for the Heat Equation: I. Šebestová
Distributed Optimal Control of Diffusion-Convection-Reaction Equations Using Discontinuous Galerkin Methods: H. Yücel, M. Heinkenschloss and B. Karasözen
An Immersed Boundary Method for Drug Release Applied to Drug Eluting Stents Dedicated to Arterial Bifurcations: L. Cattaneo, C. Chiastra, E. Cutrì, F. Migliavacca, S. Morlacchi and P. Zunino
Coupling Hdiv an H1 Finite Element Approximations for a Poisson Problem: D. de Siqueira, P. R. B. Devloo and S. M. Gomes
Nodal Interpolation Between First-Order Finite Element Spaces in 1D is Uniformly H 1-Stable: T. Dickopf
M-Adaptation Method for Acoustic Wave Equation on Rectangular Meshes: V. Gyrya and K. Lipnikov
Applications of Nonvariational Finite Element Methods to Monge–Ampère Type Equations: T. Pryer
Geodesic Finite Elements in Spaces of Zero Curvature: O. Sander
Design and Verification of the MPFA Scheme for Three-Dimensional Phase Field Model of Dendritic Crystal Growth: P. Strachota and M. Beneš
An Evolving Surface Finite Element Method for the Numerical Solution of Diffusion Induced Grain Boundary Motion: V. Styles
Numerical Modeling of Stably Stratified Fluid Flow: L. Beneš, T. Bodnár and J. Fürst
Numerical Simulation of a Rising Bubble in Viscoelastic Fluids: H. Damanik, A. Ouazzi and S. Turek
A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids: A. Fumagalli and A. Scotti
Higher Order Galerkin Time Discretization for Nonstationary Incompressible Flow: S. Hussain, F. Schieweck and S. Turek
On the Density-Enthalpy Method for the 2D Darcy Flow: D. Ibrahim, F. J. Vermolen and C. Vuik
Numerical Study of Effect of Stress Tensor for Viscous and Viscoelastic Fluids Flow: R. Keslerová
Numerical Simulations of Turbulent 3D Flow in Channel Junction: P. Louda, K. Kozel, J. Příhoda and L. Beneš
Weak Formulation of the Problem of Modelling the Steady Flow of a Viscous Incompressible Liquid Through a Rotating Radial Blade Machine: T. Neustupa
Combined Mixed-Hybrid Finite Element–Finite Volume Scheme for Computation of Multicomponent Compressible Flow in Porous Media: O. Polívka and J. Mikyška
Numerical Comparison of Unsteady Channel Compressible Flow with Low Inlet Mach Numbers: P. Pořízková, K. Kozel and J. Horáček
Numerical Simulation of Generalized Newtonian and Oldroyd-B Fluids: V. Prokop and K. Kozel
Layer-Adapted Meshes Versus Weak Dirichlet Conditions in Low-Turbulent Flow Simulation: L. Röhe and G. Lube
On Higher-Order Space-Time Discretization of an Nonlinear Aeroelastic Problem with the Consideration of Large Displacements: P. Sváček
On the Construction of Analytic Solutions to a Visco–Elasticity Model for Soft Tissues: F. J. Vermolen
Extending the Volume of Fluid Method to Higher Order Accuracy: J. C. G. Verschaeve
Stability Estimates and Numerical Comparison of Second Order Time-Stepping Schemes for Fluid-Structure Interactions: T. Wick
Various Flow Equations to Model the New Soil Improvement Method Biogrout: W. K. van Wijngaarden, F. J. Vermolen, G. A. M. van Meurs and C. Vuik
A Fast GPU-Accelerated Mixed-Precision Strategy for Fully Nonlinear Water Wave Computations: S. L. Glimberg, A. P. Engsig-Karup and M. G. Madsen
3D Helmholtz Krylov Solver Preconditioned by a Shifted Laplace Multigrid Method on Multi-GPUs: H. Knibbe, C. W. Oosterlee and C. Vuik
CUDA-Based Parallel Preconditioning for RANS Simulations of Indoor Airflow: S. C. Kramer, C. Pfaffenbach and G. Lube
Shallow Water Simulation on GPUs for Sparse Domains: M. L. Sætra
Parallel Implementation of Multilevel BDDC: J. Šístek, J. Mandel, B. Sousedík and P. Burda
Forecasting Production in an Oil Reservoir Simulation and Its Challenges: V. Ginting, F. Pereira and A. Rahunanthan
Numerical Analysis for an Upscaled Model for Dissolution and Precipitation in Porous Media: K. Kumar, I. S. Pop and F. A. Radu
A Variational Multiscale Method for Poisson’s Equation in Mixed Form: M. G. Larson, A. Målqvist and R. Söderlund
Adaptive Geometrical Multiscale Modeling for Hydrodynamic Problems: L. Mauri, S. Perotto and A. Veneziani
On the Superlinear Convergence of MINRES: V. Simoncini and D. B. Szyld
Fluid-Structure Interaction: Acceleration of Strong Coupling by Preconditioning of the Fixed-Point Iteration: M. R. Dörfel and B. Simeon
Some Experiences with Multilevel Krylov Methods: Y. A. Erlangga
Preconditioning of Elasticity Problems with Discontinuous Material Parameters: I. Georgiev and J. Kraus
A Robust Preconditioner for Distributed Optimal Control for Stokes Flow with Control Constraints: M. Kollmann and W. Zulehner
Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format: T. Mach
Two Mathematical Tools to Analyze Metastable Stochastic Processes: T. Leliévre
On the Reliability of Error Indication Methods for Problems with Uncertain Data: I. Anjam, O. Mali, P. Neittaanmäki and S. Repin
A Reduced Basis Method for the Simulation of American Options: B. Haasdonk, J. Salomon and B. Wohlmuth
SAVU: A Statistical Approach for Uncertain Data in Dynamics of Axially Moving Materials: J. Jeronen
On Singularity of Fisher Information Matrix for Stochastic Processes Under High Frequency Sampling: R. Kawai
Hierarchical Model Reduction: Three Different Approaches: S. Perotto and A. Zilio

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DOI: 10.1007/978-3-642-33134-3

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