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.
Inhaltsverzeichnis
1;Front Cover;1 2;The Mathematics of Finite Elements and Applications X;4 3;Copyright Page;5 4;Contents;8 5;Preface;6 6;Chapter 1. Fictitious Domain Methods for Particulate Flow in Two and Three Dimensions;10 7;Chapter 2. Locally Conservative Algorithms for Flow;38 8;Chapter 3. Recent Advances in Adaptive Modelling of Heterogeneous Media;56 9;Chapter 4. Modelling and Finite Element Analysis of Applied Polymer Viscoelasticity Problems;72 10;Chapter 5. A Viscoelastic Hybrid Shell Finite Element;96 11;Chapter 6. The Dual-Weighted-Residual Method for Error Control and Mesh Adaptation in Finite Element Methods;106 12;Chapter 7. h-Adaptive Finite Element Methods for Contact Problems;126 13;Chapter 8. hp-Finite Element Methods for Hyperbolic Problems;152 14;Chapter 9. What Do We Want and What Do We Have in A Posteriori Estimates in the FEM;172 15;Chapter 10. Solving Short Wave Problems Using Special Finite Elements Towards an Adaptive Approach;190 16;Chapter 11. Finite Element Methods for Fluid-Structure Vibration Problems;204 17;Chapter 12. Coupling Different Numerical Algorithms for Two Phase Fluid Flow;214 18;Chapter 13. Analysis and Numerics of Strongly Degenerate Convection-Diffusion Problems Modelling Sedimentation-Consolidation Processes;224 19;Chapter 14. Some Extensions of the Local Discontinuous Galerkin Method for Convection-Diffusion Equations in Multidimensions;234 20;Chapter 15. Scientific Computing Tools for 3D Magnetic Field Problems;248 21;Chapter 16. Duality Based Domain Decomposition with Adaptive Natural Coarse Grid Projectors for Contact Problems;268 22;Chapter 17. A Multi-Well Problem for Phase Transformations;280 23;Chapter 18. Advanced Boundary Element Algorithms;292 24;Chapter 19. H-Matrix Approximation on Graded Meshes;316 25;Chapter 20. Boundary Integral Formulations for Stokes Flows in Deforming Regions;326 26;Chapter 21. Semi-Lagrangian Finite Volume Methods for Viscoelastic Flow Problems;344 27;Chapter 22. A Finite Volume Method for Viscous Co
mpressible Flows in Low and High Speed Applications;354 28;Chapter 23. On Finite Element Methods for Coupling Eigenvalue Problems;364 29;Chapter 24. Mesh Shape and Anisotropic Elements: Theory and Practice;376 30;Chapter 25. On the Treatment of Propagating Mode-1 Cracks by Variational Inequalities;386 31;Chapter 26. Recent Trends in the Computational Modelling of Continua and Multi-Fracturing Solids;396 32;Index;416
