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Numerical Mathematics and Advanced Applications 2011

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

  • Conference proceedings
  • © 2013

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Editors:
  1. Andrea Cangiani

    1. , Department of Mathematics, University of Leicester, Leicester, United Kingdom

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  2. Ruslan L. Davidchack

    1. , Department of Mathematics, University of Leicester, Leicester, United Kingdom

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  3. Emmanuil Georgoulis

    1. , Department of Mathematics, University of Leicester, Leicester, United Kingdom

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  4. Alexander N. Gorban

    1. , Department of Mathematics, University of Leicester, Leicester, United Kingdom

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  5. Jeremy Levesley

    1. , Department of Mathematics, University of Leicester, Leicester, United Kingdom

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  6. Michael V. Tretyakov

    1. , School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom

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  • Useful for researchers working in development of numerical techniques for problems from engineering, physics, chemistry and biology and for users of efficient computational techniques in applications
  • Gives an excellent overview of the most modern numerical methods, techniques, and algorithms for solids and fluids simulations as well as for numerous other mathematical models arising in biology, finance, and physics
  • Includes supplementary material: sn.pub/extras

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About this book

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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Table of contents (88 papers)

  1. Front Matter

    Pages i-xvi
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  2. A Posteriori Error Estimation and Adaptive Methods

    1. Front Matter

      Pages 1-1
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    2. An Adaptive MFD Method for the Obstacle Problem

      • P. F. Antonietti, L. Beirão da Veiga, M. Verani
      Pages 3-12

    3. Reconstruction-Based a Posteriori Error Estimators for the Transport Equation

      • R. Becker, D. Capatina, R. Luce
      Pages 13-21

    4. A Posteriori Error Estimation by a Q 1 ∕ Q 2 Hierarchical Basis

      • M. Braack, N. Taschenberger
      Pages 23-31

    5. Adaptive Finite Elements with Anisotropic Meshes

      • W. Huang, L. Kamenski, J. Lang
      Pages 33-42

    6. Anisotropic Recovery-Based a Posteriori Error Estimators for Advection-Diffusion-Reaction Problems

      • S. Micheletti, S. Perotto
      Pages 43-51

    7. On Computable Bounds of Modeling Errors

      • S. Repin, T. Samrowski
      Pages 53-61

    8. Anisotropic Finite Elements for Fluid-Structure Interactions

      • T. Richter
      Pages 63-70

    9. Adaptive Finite Elements for Semilinear Reaction-Diffusion Systems on Growing Domains

      • C. Venkataraman, O. Lakkis, A. Madzvamuse
      Pages 71-80

  3. Computational Electromagnetics

    1. Front Matter

      Pages 81-81
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    2. Moment-Based Boundary Conditions for Lattice Boltzmann Magnetohydrodynamics

      • P. J. Dellar
      Pages 83-90

    3. A-Priori Convergence Analysis of a Discontinuous Galerkin Time-Domain Method to Solve Maxwell’s Equations on Hybrid Meshes

      • C. Durochat, C. Scheid
      Pages 91-99

    4. Stabilization of a Degenerate Minimization Problem with the Single-Layer Potential

      • S. Ferraz-Leite
      Pages 101-109

    5. Second Order Finite Volume Scheme for Maxwell’s Equations with Discontinuous Dielectric Permittivity on Prismatic Meshes

      • T. Z. Ismagilov
      Pages 111-118

    6. A Hybridizable Discontinuous Galerkin Method for Solving 3D Time-Harmonic Maxwell’s Equations

      • L. Li, S. Lanteri, R. Perrussel
      Pages 119-128

    7. Locally Implicit Discontinuous Galerkin Methods for Time-Domain Maxwell’s Equations

      • L. Moya
      Pages 129-137

  4. Computational Methods

    1. Front Matter

      Pages 139-139
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    2. 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, J. Sietsma
      Pages 141-148

    3. On an Efficient Family of Simultaneous Methods for Finding Polynomial Multiple Zeros

      • J. Džunić, M. S. Petković, L. D. Petković
      Pages 149-156
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Editors and Affiliations

  • , Department of Mathematics, University of Leicester, Leicester, United Kingdom

    Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley

  • , School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom

    Michael V. Tretyakov

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