Elsevier S & T

The Mathematics of Finite Elements and Applications X (MAFELAP 1999)

Whiteman, J.R.

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Table of contents
  • Contentsvii
  • Prefacev
  • Chapter 1. Fictitious Domain Methods for Particulate Flow in Two and Three Dimensions1
  • Chapter 2. Locally Conservative Algorithms for Flow29
  • Chapter 3. Recent Advances in Adaptive Modelling of Heterogeneous Media47
  • Chapter 4. Modelling and Finite Element Analysis of Applied Polymer Viscoelasticity Problems63
  • Chapter 5. A Viscoelastic Hybrid Shell Finite Element87
  • Chapter 6. The Dual-Weighted-Residual Method for Error Control and Mesh Adaptation in Finite Element97
  • Chapter 7. h-Adaptive Finite Element Methods for Contact Problems117
  • Chapter 8. hp-Finite Element Methods for Hyperbolic Problems143
  • Chapter 9. What Do We Want and What Do We Have in A Posteriori Estimates in the FEM163
  • Chapter 10. Solving Short Wave Problems Using Special Finite Elements – Towards an Adaptive Approa181
  • Chapter 11. Finite Element Methods for Fluid-Structure Vibration Problems195
  • Chapter 12. Coupling Different Numerical Algorithms for Two Phase Fluid Flow205
  • Chapter 13. Analysis and Numerics of Strongly Degenerate Convection-Diffusion Problems Modelling Sed215
  • Chapter 14. Some Extensions of the Local Discontinuous Galerkin Method for Convection-Diffusion Equa225
  • Chapter 15. Scientific Computing Tools for 3D Magnetic Field Problems239
  • Chapter 16. Duality Based Domain Decomposition with Adaptive Natural Coarse Grid Projectors for Cont259
  • Chapter 17. A Multi-Well Problem for Phase Transformations271
  • Chapter 18. Advanced Boundary Element Algorithms283
  • Chapter 19. H-Matrix Approximation on Graded Meshes307
  • Chapter 20. Boundary Integral Formulations for Stokes Flows in Deforming Regions317
  • Chapter 21. Semi-Lagrangian Finite Volume Methods for Viscoelastic Flow Problems335
  • Chapter 22. A Finite Volume Method for Viscous Compressible Flows in Low and High Speed Applications345
  • Chapter 23. On Finite Element Methods for Coupling Eigenvalue Problems355
  • Chapter 24. Mesh Shape and Anisotropic Elements: Theory and Practice367
  • Chapter 25. On the Treatment of Propagating Mode-1 Cracks by Variational Inequalities377
  • Chapter 26. Recent Trends in the Computational Modelling of Continua and Multi-Fracturing Solids387
  • Index407
Book details
  • Vendor Elsevier S & T
  • SKU 9780080435688
  • ISBN-13 9780080548685
  • Author Whiteman, J.R.
  • Category Mathematics
  • Subject General

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Description eBook delivery & access Reviews
The tenth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1999, was held at Brunel University during the period 22-25 June, 1999. This book seeks to highlight certain aspects of the state-of-the-art theory and applications of finite element methods of that time.

This latest conference, in the MAFELAP series, followed the well established MAFELAP pattern of bringing together mathematicians, engineers and others interested in the field to discuss finite element techniques.
In the MAFELAP context finite elements have always been interpreted in a broad and inclusive manner, including techniques such as finite difference, finite volume and boundary element methods as well as actual finite element methods. Twenty-six papers were carefully selected for this book out of the 180 presentations made at the conference, and all of these reflect this style and approach to finite elements. The increasing importance of modelling, in addition to numerical discretization, error estimation and adaptivity was also studied in MAFELAP 1999.