↓ Skip to main content

Numerical Mathematics and Advanced Applications

Overview of attention for book
Cover of 'Numerical Mathematics and Advanced Applications'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Compatible Discretizations in Two Dimensions
  3. Altmetric Badge
    Chapter 2 Finite Element Approximation of the Three Field Formulation of the Elasticity Problem Using Stabilization
  4. Altmetric Badge
    Chapter 3 Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation
  5. Altmetric Badge
    Chapter 4 Quadratic Programming and Scalable Algorithms for Variational Inequalities
  6. Altmetric Badge
    Chapter 5 Discontinuous Galerkin Methods for Friedrichs’ Systems
  7. Altmetric Badge
    Chapter 6 Highly Oscillatory Quadrature: The Story so Far
  8. Altmetric Badge
    Chapter 7 The 3D Inverse Electromagnetic Scattering Problem for a Coated Dielectric
  9. Altmetric Badge
    Chapter 8 Functional Approach to Locally Based A Posteriori Error Estimates for Elliptic and Parabolic Problems
  10. Altmetric Badge
    Chapter 9 Finite Element Approximation of 2D Parabolic Optimal Design Problems
  11. Altmetric Badge
    Chapter 10 3D Free Surface Flows Simulations Using a Multilayer Saint-Venant Model. Comparisons with Navier-Stokes Solutions
  12. Altmetric Badge
    Chapter 11 Some Well-Balanced Shallow Water-Sediment Transport Models
  13. Altmetric Badge
    Chapter 12 Highly Accurate Conservative Finite Difference Schemes and Adaptive Mesh Refinement Techniques for Hyperbolic Systems of Conservation Laws
  14. Altmetric Badge
    Chapter 13 Finite Volume Solvers for the Shallow Water Equations Using Matrix Radial Basis Function Reconstruction
  15. Altmetric Badge
    Chapter 14 On Numerical Schemes for a Hierarchy of Kinetic Equations
  16. Altmetric Badge
    Chapter 15 Computational Aspects of the Mesh Adaptation for the Time Marching Procedure
  17. Altmetric Badge
    Chapter 16 On the Use of Slope Limiters for the Design of Recovery Based Error Indicators
  18. Altmetric Badge
    Chapter 17 On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems
  19. Altmetric Badge
    Chapter 18 Comparative Study of the a Posteriori Error Estimators for the Stokes Problem
  20. Altmetric Badge
    Chapter 19 Error Control for Discretizations of Electromagnetic-Mechanical Multifield Problem
  21. Altmetric Badge
    Chapter 20 A Safeguarded Zienkiewicz-Zhu Estimator
  22. Altmetric Badge
    Chapter 21 Some Remarks on a Model for the Atmospheric Pressure in Ocean Dynamics
  23. Altmetric Badge
    Chapter 22 Computational Time Improvement for Some Shallow Water Finite Volume Models Applying Parallelization and Optimized Small Matrix Computations.
  24. Altmetric Badge
    Chapter 23 Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain
  25. Altmetric Badge
    Chapter 24 A Posteriori Estimates for Cost Functionals of Optimal Control Problems
  26. Altmetric Badge
    Chapter 25 Optimization of a Duality Method for the Compressible Reynolds Equation
  27. Altmetric Badge
    Chapter 26 Time-Space & Space-Time Elements for Unsteady Advection-Dominated Problems
  28. Altmetric Badge
    Chapter 27 On Discontinuity—Capturing Methods for Convection—Diffusion Equations
  29. Altmetric Badge
    Chapter 28 Algebraic Flux Correction for Finite Element Approximation of Transport Equations
  30. Altmetric Badge
    Chapter 29 A Parallel Multiparametric Gauss-Seidel Method
  31. Altmetric Badge
    Chapter 30 A Numerical Scheme for the Micro Scale Dissolution and Precipitation in Porous Media
  32. Altmetric Badge
    Chapter 31 Discrete Kinetic Methods for a Degenerate Parabolic Equation in Dimension Two.
  33. Altmetric Badge
    Chapter 32 Anisotropic Doubly Nonlinear Degenerate Parabolic Equations
  34. Altmetric Badge
    Chapter 33 A Multiresolution Method for the Simulation of Sedimentation-Consolidation Processes
  35. Altmetric Badge
    Chapter 34 Diffusive Relaxation Limit for Hyperbolic Systems
  36. Altmetric Badge
    Chapter 35 Parallel Algorithms for Nonlinear Diffusion by Using Relaxation Approximation
  37. Altmetric Badge
    Chapter 36 On a Degenerated Parabolic-Hyperbolic Problem Arising From Stratigraphy
  38. Altmetric Badge
    Chapter 37 Schwarz Domain Decomposition Preconditioners for Interior Penalty Approximations of Elliptic Problems
  39. Altmetric Badge
    Chapter 38 Higher Order Semi-Implicit Discontinuous Galerkin Finite Element Schemes for Nonlinear Convection-Diffusion Problems
  40. Altmetric Badge
    Chapter 39 On Some Aspects of the Discontinuous Galerkin Method
  41. Altmetric Badge
    Chapter 40 Mixed Discontinuous Galerkin Methods with Minimal Stabilization
  42. Altmetric Badge
    Chapter 41 Discontinuous Galerkin Finite Element Method for a Fourth-Order Nonlinear Elliptic Equation Related to the Two-Dimensional Navier-Stokes Equations
  43. Altmetric Badge
    Chapter 42 Fourier Method with Nitsche-Mortaring for the Poisson Equation in 3D
  44. Altmetric Badge
    Chapter 43 Substructuring Preconditioners for the Bidomain Extracellular Potential Problem
  45. Altmetric Badge
    Chapter 44 A Face Penalty Method for the Three Fields Stokes Equation Arising from Oldroyd-B Viscoelastic Flows
  46. Altmetric Badge
    Chapter 45 Anisotropic H 1 -Stable Projections on Quadrilateral Meshes
  47. Altmetric Badge
    Chapter 46 Continuous Interior Penalty hp -Finite Element Methods for Transport Operators
  48. Altmetric Badge
    Chapter 47 A Nonconforming Finite Element Method with Face Penalty for Advection—Diffusion Equations
  49. Altmetric Badge
    Chapter 48 Efficient Multigrid and Data Structures for Edge-Oriented FEM Stabilization
  50. Altmetric Badge
    Chapter 49 Adaptive Methods for Dynamical Micromagnetics
  51. Altmetric Badge
    Chapter 50 Stability for Walls in Ferromagnetic Nanowire
  52. Altmetric Badge
    Chapter 51 Continuous Galerkin Methods for Solving Maxwell Equations in 3D Geometries
  53. Altmetric Badge
    Chapter 52 On the Use of the Gautschi-Type Exponential Integrator for Wave Equations
  54. Altmetric Badge
    Chapter 53 Positivity of Exponential Multistep Methods
  55. Altmetric Badge
    Chapter 54 Stability Results and Algorithmic Strategies for the Finite Element Approach to the Immersed Boundary Method
  56. Altmetric Badge
    Chapter 55 A Comparison of Enthalpy and Temperature Methods for Melting Problems on Composite Domains
  57. Altmetric Badge
    Chapter 56 Qualitative Properties of a Numerical Scheme for the Heat Equation
  58. Altmetric Badge
    Chapter 57 Modeling Radiation and Moisture Content in Fire Spread
  59. Altmetric Badge
    Chapter 58 Fast Multipole Method for Solving the Radiosity Equation
  60. Altmetric Badge
    Chapter 59 Numerical Modelling of Kinetic Equations
  61. Altmetric Badge
    Chapter 60 On a Subclass of Hölder Continuous Functions with Applications to Signal Processing
  62. Altmetric Badge
    Chapter 61 Modelisation and Simulation of Static Grain Deep-Bed Drying
  63. Altmetric Badge
    Chapter 62 Hybrid Godunov-Glimm Method for a Nonconservative Hyperbolic System with Kinetic Relations
  64. Altmetric Badge
    Chapter 63 Cell-Average Multiwavelets Based on Hermite Interpolation
  65. Altmetric Badge
    Chapter 64 On a General Definition of the Godunov Method for Nonconservative Hyperbolic Systems. Application to Linear Balance Laws
  66. Altmetric Badge
    Chapter 65 Sequential Flux-Corrected Remapping for ALE Methods
  67. Altmetric Badge
    Chapter 66 Orthogonal hp -FEM for Elliptic Problems Based on a Non-Affine Concept
  68. Altmetric Badge
    Chapter 67 On Some Aspects of the hp -FEM for Time-Harmonic Maxwell’s Equations
  69. Altmetric Badge
    Chapter 68 Numerical Simulation of Phase-Transition Front Propagation in Thermoelastic Solids
  70. Altmetric Badge
    Chapter 69 The Level Set Method for Solid-Solid Phase Transformations
  71. Altmetric Badge
    Chapter 70 A Non-Monotone Fast Marching Scheme for a Hamilton-Jacobi Equation Modelling Dislocation Dynamics
  72. Altmetric Badge
    Chapter 71 A Time—Adaptive Semi—Lagrangian Approximation to Mean Curvature Motion
  73. Altmetric Badge
    Chapter 72 Heterogeneous Multiscale Methods with Quadrilateral Finite Elements
  74. Altmetric Badge
    Chapter 73 Stabilizing the ℙ 1 /ℙ 0 Element for the Stokes Problem via Multiscale Enrichment
  75. Altmetric Badge
    Chapter 74 Adaptive Multiresolution Methods for the Simulation of Shocks/Shear Layer Interaction in Confined Flows
  76. Altmetric Badge
    Chapter 75 Local Projection Stabilization for the Stokes System on Anisotropic Quadrilateral Meshes
  77. Altmetric Badge
    Chapter 76 An Interior Penalty Variational Multiscale Method for High Reynolds Number Flows
  78. Altmetric Badge
    Chapter 77 Variational Multiscale Large Eddy Simulation of Turbulent Flows Using a Two-Grid Finite Element or Finite Volume Method
  79. Altmetric Badge
    Chapter 78 Issues for a Mathematical Definition of LES
  80. Altmetric Badge
    Chapter 79 Stabilized FEM with Anisotropic Mesh Refinement for the Oseen Problem
  81. Altmetric Badge
    Chapter 80 Semi-Implicit Multiresolution for Multiphase Flows
  82. Altmetric Badge
    Chapter 81 Numerical Simulation of Vortex-Dipole Wall Interactions Using an Adaptive Wavelet Discretization with Volume Penalisation
  83. Altmetric Badge
    Chapter 82 Inviscid Flow on Moving Grids with Multiscale Space and Time Adaptivity
  84. Altmetric Badge
    Chapter 83 A Relaxation Method for a Two Phase Flow with Surface Tension
  85. Altmetric Badge
    Chapter 84 Extension of Interface Coupling to General Lagrangian Systems
  86. Altmetric Badge
    Chapter 85 A Numerical Scheme for the Modeling of Condensation and Flash Vaporization in Compressible Multi-Phase Flows
  87. Altmetric Badge
    Chapter 86 An Adaptive Operator Splitting of Higher Order for the Navier-Stokes Equations
  88. Altmetric Badge
    Chapter 87 The POD Technique for Computing Bifurcation Diagrams: A Comparison among Different Models in Fluids
  89. Altmetric Badge
    Chapter 88 Filtering of Singularities in a Marangoni Convection Problem
  90. Altmetric Badge
    Chapter 89 On Application of Stabilized Higher Order Finite Element Method on Unsteady Incompressible Flow Problems
  91. Altmetric Badge
    Chapter 90 Numerical Simulation of Coupled Fluid-Solid Systems by Fictitious Boundary and Grid Deformation Methods
  92. Altmetric Badge
    Chapter 91 An Iterative Method for Solving Non-Linear Hydromagnetic Equations
  93. Altmetric Badge
    Chapter 92 Mathematical and Numerical Analysis of a Class of Non-linear Elliptic Equations in the Two Dimensional Case
  94. Altmetric Badge
    Chapter 93 A s -step Variant of the Double Orthogonal Series Algorithm
  95. Altmetric Badge
    Chapter 94 Linear Equations in Quaternions
  96. Altmetric Badge
    Chapter 95 Computing the Analytic Singular Value Decomposition via a Pathfollowing
  97. Altmetric Badge
    Chapter 96 A Jacobi-Davidson Method for Computing Partial Generalized Real Schur Forms
  98. Altmetric Badge
    Chapter 97 Pricing Multi-Asset Options with Sparse Grids and Fourth Order Finite Differences
  99. Altmetric Badge
    Chapter 98 A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems
  100. Altmetric Badge
    Chapter 99 Numerical Solution of Optimal Control Problems with Sparse SQP-Methods
  101. Altmetric Badge
    Chapter 100 Semi-Deterministic Recursive Optimization Methods for Multichannel Optical Filters
  102. Altmetric Badge
    Chapter 101 A Multigrid Method for Coupled Optimal Topology and Shape Design in Nonlinear Magnetostatics
  103. Altmetric Badge
    Chapter 102 Nonsmooth Optimization of Eigenvalues in Topology Optimization
  104. Altmetric Badge
    Chapter 103 Derivative Free Optimization of Stirrer Configurations
  105. Altmetric Badge
    Chapter 104 Mathematical Modelling and Numerical Optimization in the Process of River Pollution Control
  106. Altmetric Badge
    Chapter 105 A Family of C ° Finite Elements for Kirchhoff Plates with Free Boundary Conditions
  107. Altmetric Badge
    Chapter 106 A Postprocessing Method for the MITC Plate Elements
  108. Altmetric Badge
    Chapter 107 A Uniformly Stable Finite Difference Space Semi-Discretization for the Internal Stabilization of the Plate Equation in a Square
  109. Altmetric Badge
    Chapter 108 An ε -Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems
  110. Altmetric Badge
    Chapter 109 A Dynamic Frictional Contact Problem of a Viscoelastic Beam
  111. Altmetric Badge
    Chapter 110 Numerical Analysis of a Frictional Contact Problem for Viscoelastic Materials with Long-Term Memory
  112. Altmetric Badge
    Chapter 111 A Suitable Numerical Algorithm for the Simulation of the Butt Curl Deformation of an Aluminium Slab
  113. Altmetric Badge
    Chapter 112 An Efficient Solution Algorithm for Elastoplasticity and its First Implementation Towards Uniform h- and p- Mesh Refinements
  114. Altmetric Badge
    Chapter 113 A LDG-BEM Coupling for a Class of Nonlinear Exterior Transmission Problems
  115. Altmetric Badge
    Chapter 114 High Order Boundary Integral Methods for Maxwell’s Equations: Coupling of Microlocal Discretization and Fast Multipole Methods
  116. Altmetric Badge
    Chapter 115 Indirect Methods with Brakhage-Werner Potentials for Helmholtz Transmission Problems
  117. Altmetric Badge
    Chapter 116 A FEM—BEM Formulation for a Time—Dependent Eddy Current Problem
  118. Altmetric Badge
    Chapter 117 Mixed Boundary Element—Finite Volume Methods for Thermohydrodynamic Lubrication Problems
  119. Altmetric Badge
    Chapter 118 Numerical Modelling for Leaching of Pesticides in Soils Modified by a Cationic Surfactant
  120. Altmetric Badge
    Chapter 119 Formulation of Mixed-Hybrid FE Model of Flow in Fractured Porous Medium
  121. Altmetric Badge
    Chapter 120 Newton—Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations
  122. Altmetric Badge
    Chapter 121 Domain Decomposition Methods for Wave Propagation in Heterogeneous Media
  123. Altmetric Badge
    Chapter 122 Galbrun’s Equation Solved by a First Order Characteristics Method
  124. Altmetric Badge
    Chapter 123 Open Subsystems of Conservative Systems
Attention for Chapter 28: Algebraic Flux Correction for Finite Element Approximation of Transport Equations
Altmetric Badge

Mentioned by

wikipedia
1 Wikipedia page

Readers on

mendeley
1 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Chapter title
Algebraic Flux Correction for Finite Element Approximation of Transport Equations
Chapter number 28
Book title
Numerical Mathematics and Advanced Applications
Published by
Springer, Berlin, Heidelberg, January 2006
DOI 10.1007/978-3-540-34288-5_28
Book ISBNs
978-3-54-034287-8, 978-3-54-034288-5
Authors

Dmitri Kuzmin, Kuzmin, Dmitri

Mendeley readers

Mendeley readers

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

Country Count As %
Spain 1 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 100%
Readers by discipline Count As %
Earth and Planetary Sciences 1 100%