Numerical Mathematics and Advanced Applications 2011

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

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.​

• applied mathematics
• computational engineering and physics
• computational mathematics
• numerical analysis
• scientific computing

• , 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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