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Numerical Mathematics and Advanced Applications ENUMATH 2017

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Cover of 'Numerical Mathematics and Advanced Applications ENUMATH 2017'

Table of Contents

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    Book Overview
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    Chapter 1 PDE Apps for Acoustic Ducts: A Parametrized Component-to-System Model-Order-Reduction Approach
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    Chapter 2 Sub-voxel Perfusion Modeling in Terms of Coupled 3 d -1 d Problem
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    Chapter 3 Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations
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    Chapter 4 Mathematics and Medicine: How Mathematics, Modelling and Simulations Can Lead to Better Diagnosis and Treatments
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    Chapter 5 Convergence of Multilevel Stationary Gaussian Convolution
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    Chapter 6 Anisotropic Weights for RBF-PU Interpolation with Subdomains of Variable Shapes
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    Chapter 7 Radial Basis Function Approximation Method for Pricing of Basket Options Under Jump Diffusion Model
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    Chapter 8 Greedy Algorithms for Matrix-Valued Kernels
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    Chapter 9 GPU Optimization of Large-Scale Eigenvalue Solver
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    Chapter 10 On the Efficiency of the Peaceman–Rachford ADI-dG Method for Wave-Type Problems
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    Chapter 11 Trefftz-Discontinuous Galerkin Approach for Solving Elastodynamic Problem
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    Chapter 12 FETI-DP Preconditioners for the Virtual Element Method on General 2D Meshes
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    Chapter 13 Modeling Flow and Transport in Fractured Media by a Hybrid Finite Volume: Finite Element Method
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    Chapter 14 A Cut Cell Hybrid High-Order Method for Elliptic Problems with Curved Boundaries
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    Chapter 15 A Cut Finite Element Method with Boundary Value Correction for the Incompressible Stokes Equations
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    Chapter 16 Numerical Integration on Hyperrectangles in Isoparametric Unfitted Finite Elements
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    Chapter 17 On a Generalization of Neumann Series of Bessel Functions Using Hessenberg Matrices and Matrix Exponentials
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    Chapter 18 Influence of the SIPG Penalisation on the Numerical Properties of Linear Systems for Elastic Wave Propagation
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    Chapter 19 Function-Based Algebraic Multigrid Method for the 3D Poisson Problem on Structured Meshes
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    Chapter 20 Mathematical Modelling of Phenotypic Selection Within Solid Tumours
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    Chapter 21 Uncertainty Assessment of a Hybrid Cell-Continuum Based Model for Wound Contraction
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    Chapter 22 The Discrete Relations Between Fields and Potentials with High Order Whitney Forms
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    Chapter 23 Model Order Reduction of an Elastic Body Under Large Rigid Motion
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    Chapter 24 On Surface Area and Length Preserving Flows of Closed Curves on a Given Surface
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    Chapter 25 Derivation of Higher-Order Terms in FFT-Based Numerical Homogenization
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    Chapter 26 A Least-Squares Method for a Monge-Ampère Equation with Non-quadratic Cost Function Applied to Optical Design
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    Chapter 27 Solving Inverse Illumination Problems with Liouville’s Equation
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    Chapter 28 Strong vs. Weak Symmetry in Stress-Based Mixed Finite Element Methods for Linear Elasticity
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    Chapter 29 Evolution of Load-Bearing Structures with Phase Field Modeling
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    Chapter 30 An Accelerated Newton Method for Nonlinear Materials in Structure Mechanics and Fluid Mechanics
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    Chapter 31 Best Error Localizations for Piecewise Polynomial Approximation of Gradients, Functions and Functionals
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    Chapter 32 Adaptive Discontinuous Galerkin Methods for Flow in Porous Media
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    Chapter 33 An Adaptive E-Scheme for Conservation Laws
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    Chapter 34 Adaptive Filtered Schemes for First Order Hamilton-Jacobi Equations
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    Chapter 35 Goal-Oriented a Posteriori Error Estimates in Nearly Incompressible Linear Elasticity
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    Chapter 36 Nitsche’s Method for the Obstacle Problem of Clamped Kirchhoff Plates
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    Chapter 37 Stochastic B-Series and Order Conditions for Exponential Integrators
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    Chapter 38 What Is a Post-Lie Algebra and Why Is It Useful in Geometric Integration
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    Chapter 39 On Non-commutative Stochastic Exponentials
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    Chapter 40 An Introduction to the Gradient Discretisation Method
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    Chapter 41 Quasi-Optimal Nonconforming Methods for Second-Order Problems on Domains with Non-Lipschitz Boundary
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    Chapter 42 Convergence of Adaptive Finite Element Methods with Error-Dominated Oscillation
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    Chapter 43 Finite Element Methods for Parabolic Problems with Time-Dependent Domains: Application to a Milling Simulation
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    Chapter 44 Numerical Investigation of the Conditioning for Plane Wave Discontinuous Galerkin Methods
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    Chapter 45 The Virtual Element Method for the Transport of Passive Scalars in Discrete Fracture Networks
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    Chapter 46 On the Implementation of a Multiscale Hybrid High-Order Method
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    Chapter 47 VEM for the Reissner-Mindlin Plate Based on the MITC Approach: The Element of Degree 2
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    Chapter 48 DGM for the Solution of Nonlinear Dynamic Elasticity
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    Chapter 49 Higher Order Space-Time Elements for a Non-linear Biot Model
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    Chapter 50 Iterative Coupling of Mixed and Discontinuous Galerkin Methods for Poroelasticity
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    Chapter 51 Stability of Higher-Order ALE-STDGM for Nonlinear Problems in Time-Dependent Domains
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    Chapter 52 Implementation of Mixed-Dimensional Models for Flow in Fractured Porous Media
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    Chapter 53 Fast Matrix-Free Evaluation of Hybridizable Discontinuous Galerkin Operators
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    Chapter 54 Numerical Benchmarking for 3D Multiphase Flow: New Results for a Rising Bubble
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    Chapter 55 A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media
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    Chapter 56 A Numerical Method for an Inverse Problem Arising in Two-Phase Fluid Flow Transport Through a Homogeneous Porous Medium
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    Chapter 57 A Fully-Implicit, Iterative Scheme for the Simulation of Two-Phase Flow in Porous Media
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    Chapter 58 Mass Lumping for MHFEM in Two Phase Flow Problems in Porous Media
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    Chapter 59 Uncertainty Quantification in Injection and Soil Characteristics for Biot’s Poroelasticity Model
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    Chapter 60 Reactivation of Fractures in Subsurface Reservoirs—A Numerical Approach Using a Static-Dynamic Friction Model
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    Chapter 61 POD-Based Economic Model Predictive Control for Heat-Convection Phenomena
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    Chapter 62 Real-Time Optimization of Thermal Ablation Cancer Treatments
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    Chapter 63 Parametric Model Reduction via Interpolating Orthonormal Bases
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    Chapter 64 A Spectral Element Reduced Basis Method in Parametric CFD
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    Chapter 65 POD for Optimal Control of the Cahn-Hilliard System Using Spatially Adapted Snapshots
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    Chapter 66 New Strategies for the Simulationof the Flow in Three Dimensional Poro-Fractured Media
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    Chapter 67 The Virtual Element Method on Anisotropic Polygonal Discretizations
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    Chapter 68 On Zlámal Minimum Angle Condition for the Longest-Edge n -Section Algorithm with n  ≥ 4
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    Chapter 69 Adaptive Solution of a Singularly-Perturbed Convection-Diffusion Problem Using a Stabilized Mixed Finite Element Method
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    Chapter 70 Spaces of Simplicial Shapes
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    Chapter 71 Simplicial Vertex-Normal Duality with Applications to Well-Centered Simplices
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    Chapter 72 Maximum Angle Condition for n -Dimensional Simplicial Elements
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    Chapter 73 An Oscillation-Free Finite Volume Method for Poroelasticity
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    Chapter 74 Numerical Investigation on the Fixed-Stress Splitting Scheme for Biot’s Equations: Optimality of the Tuning Parameter
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    Chapter 75 Numerical Simulation of Biofilm Formation in a Microchannel
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    Chapter 76 Numerical Methods for Biomembranes Based on Piecewise Linear Surfaces
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    Chapter 77 Heavy Metals Phytoremediation: First Mathematical Modelling Results
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    Chapter 78 Urban Heat Island Effect in Metropolitan Areas: An Optimal Control Perspective
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    Chapter 79 Nitsche-Based Finite Element Method for Contact with Coulomb Friction
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    Chapter 80 Electrically Driven MHD Flow Between Two Parallel Slipping and Partly Conducting Infinite Plates
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    Chapter 81 Two Methods for the Numerical Modelling of the PM Transport and Deposition on the Vegetation
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    Chapter 82 On a New Mixed Formulation of Kirchhoff Plates on Curvilinear Polygonal Domains
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    Chapter 83 POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena
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    Chapter 84 Greedy Kernel Methods for Accelerating Implicit Integrators for Parametric ODEs
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    Chapter 85 Third-Order Limiter Functions on Non-equidistant Grids
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    Chapter 86 A Linearity Preserving Algebraic Flux Correction Scheme of Upwind Type Satisfying the Discrete Maximum Principle on Arbitrary Meshes
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    Chapter 87 Optimized Schwarz Methods for Advection Diffusion Equations in Bounded Domains
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    Chapter 88 Optimal Coarse Spaces for FETI and Their Approximation
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    Chapter 89 Coupling MPC and HJB for the Computation of POD-Based Feedback Laws
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    Chapter 90 Adaptive Multiple Shooting for Nonlinear Boundary Value Problems
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    Chapter 91 Exponential Scaling and the Time Growth of the Error of DG for Advection-Reaction Problems
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    Chapter 92 Maximum Norm Estimates for Energy-Corrected Finite Element Method
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    Chapter 93 Digital Operators, Discrete Equations and Error Estimates
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    Chapter 94 A Simple Boundary Approximation for the Non-symmetric Coupling of the Finite Element Method and the Boundary Element Method for Parabolic-Elliptic Interface Problems
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    Chapter 95 Galerkin Projection and Numerical Integration for a Stochastic Investigation of the Viscous Burgers’ Equation: An Initial Attempt
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    Chapter 96 Nonlinear Flux Approximation Scheme for Burgers Equation Derived from a Local BVP
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    Chapter 97 A Spectral Solenoidal-Galerkin Method for Flow Past a Circular Cylinder
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    Chapter 98 Conservative Mimetic Cut-Cell Method for Incompressible Navier-Stokes Equations
Attention for Chapter 13: Modeling Flow and Transport in Fractured Media by a Hybrid Finite Volume: Finite Element Method
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Chapter title
Modeling Flow and Transport in Fractured Media by a Hybrid Finite Volume: Finite Element Method
Chapter number 13
Book title
Numerical Mathematics and Advanced Applications ENUMATH 2017
Published by
Springer, Cham, September 2017
DOI 10.1007/978-3-319-96415-7_13
Book ISBNs
978-3-31-996414-0, 978-3-31-996415-7
Authors

Alexey Chernyshenko, Maxim Olshanskii

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The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

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Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 1 100%
Readers by discipline Count As %
Mathematics 1 100%