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Multiscale Methods in Science and Engineering

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Björn Engquist

    1. Department of Numerical Analysis and Computer Science, Royal Institute of Technology, Stockholm, Sweden

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  2. Olof Runborg

    1. Department of Numerical Analysis and Computer Science, Royal Institute of Technology, Stockholm, Sweden

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  3. Per Lötstedt

    1. Department of Information Technology, Uppsala University, Uppsala, Sweden

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Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 44)

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Table of contents (15 papers)

  1. Front Matter

    Pages I-XI
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  2. Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales

    • Jørg Aarnes, Bjørn-Ove Heimsund
    Pages 1-20

  3. Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions

    • Leonid Berlyand, Yuliya Gorb, Alexei Novikov
    Pages 21-57

  4. Adaptive Monte Carlo Algorithms for Stopped Diffusion

    • Anna Dzougoutov, Kyoung-Sook Moon, Erik von Schwerin, Anders Szepessy, Raúl Tempone
    Pages 59-88

  5. The Heterogeneous Multi-Scale Method for Homogenization Problems

    • Weinan E, Björn Engquist
    Pages 89-110

  6. A Coarsening Multigrid Method for Flow in Heterogeneous Porous Media

    • Jens Eberhard, Gabriel Wittum
    Pages 111-132

  7. On the Modeling of Small Geometric Features in Computational Electromagnetics

    • Fredrik Edelvik
    Pages 133-148

  8. Coupling PDEs and SDEs: The Illustrative Example of the Multiscale Simulation of Viscoelastic Flows

    • Benjamin Jourdain, Claude Le Bris, Tony Lelièvre
    Pages 149-168

  9. Adaptive Submodeling for Linear Elasticity Problems with Multiscale Geometric Features

    • Mats G. Larson, Fredrik Bengzon, August Johansson
    Pages 169-180

  10. Adaptive Variational Multiscale Methods Based on A Posteriori Error Estimation: Duality Techniques for Elliptic Problems

    • Mats G. Larson, Axel Målqvist
    Pages 181-193

  11. Multipole Solution of Electromagnetic Scattering Problems with Many, Parameter Dependent Incident Waves

    • Martin Nilsson, Per Lötstedt
    Pages 195-203

  12. Introduction to Normal Multiresolution Approximation

    • Olof Runborg
    Pages 205-224

  13. Combining the Gap-Tooth Scheme with Projective Integration: Patch Dynamics

    • Giovanni Samaey, Dirk Roose, Ioannis G. Kevrekidis
    Pages 225-239

  14. Multiple Time Scale Numerical Methods for the Inverted Pendulum Problem

    • Richard Sharp, Yen-Hsi Tsai, Björn Engquist
    Pages 241-261

  15. Multiscale Homogenization of the Navier-Stokes Equation

    • Nils Svanstedt, Niklas Wellander
    Pages 263-273

  16. Numerical Simulations of the Dynamics of Fiber Suspensions

    • Anna-Karin Tornberg
    Pages 275-289

  17. Back Matter

    Pages 291-296
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Keywords

About this book

Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.

Editors and Affiliations

  • Department of Numerical Analysis and Computer Science, Royal Institute of Technology, Stockholm, Sweden

    Björn Engquist, Olof Runborg

  • Department of Information Technology, Uppsala University, Uppsala, Sweden

    Per Lötstedt

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