Description
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.
Chapter
Chapter 2. Locally Conservative Algorithms for Flow
pp.：
38 – 56
Chapter 3. Recent Advances in Adaptive Modelling of Heterogeneous Media
pp.：
56 – 72
Chapter 4. Modelling and Finite Element Analysis of Applied Polymer Viscoelasticity Problems
pp.：
72 – 96
Chapter 5. A Viscoelastic Hybrid Shell Finite Element
pp.：
96 – 106
Chapter 6. The Dual-Weighted-Residual Method for Error Control and Mesh Adaptation in Finite Element Methods
pp.：
106 – 126
Chapter 7. h-Adaptive Finite Element Methods for Contact Problems
pp.：
126 – 152
Chapter 8. hp-Finite Element Methods for Hyperbolic Problems
pp.：
152 – 172
Chapter 9. What Do We Want and What Do We Have in A Posteriori Estimates in the FEM
pp.：
172 – 190
Chapter 10. Solving Short Wave Problems Using Special Finite Elements – Towards an Adaptive Approach
pp.：
190 – 204
Chapter 11. Finite Element Methods for Fluid-Structure Vibration Problems
pp.：
204 – 214
Chapter 12. Coupling Different Numerical Algorithms for Two Phase Fluid Flow
pp.：
214 – 224
Chapter 13. Analysis and Numerics of Strongly Degenerate Convection-Diffusion Problems Modelling Sedimentation-Consolidation Processes
pp.：
224 – 234
Chapter 14. Some Extensions of the Local Discontinuous Galerkin Method for Convection-Diffusion Equations in Multidimensions
pp.：
234 – 248
Chapter 15. Scientific Computing Tools for 3D Magnetic Field Problems
pp.：
248 – 268
Chapter 16. Duality Based Domain Decomposition with Adaptive Natural Coarse Grid Projectors for Contact Problems
pp.：
268 – 280
Chapter 17. A Multi-Well Problem for Phase Transformations
pp.：
280 – 292
Chapter 18. Advanced Boundary Element Algorithms
pp.：
292 – 316
Chapter 19. H-Matrix Approximation on Graded Meshes
pp.：
316 – 326
Chapter 20. Boundary Integral Formulations for Stokes Flows in Deforming Regions
pp.：
326 – 344
Chapter 21. Semi-Lagrangian Finite Volume Methods for Viscoelastic Flow Problems
pp.：
344 – 354
Chapter 22. A Finite Volume Method for Viscous Compressible Flows in Low and High Speed Applications
pp.：
354 – 364
Chapter 23. On Finite Element Methods for Coupling Eigenvalue Problems
pp.：
364 – 376
Chapter 24. Mesh Shape and Anisotropic Elements: Theory and Practice
pp.：
376 – 386
Chapter 25. On the Treatment of Propagating Mode-1 Cracks by Variational Inequalities
pp.：
386 – 396
Chapter 26. Recent Trends in the Computational Modelling of Continua and Multi-Fracturing Solids
pp.：
396 – 416
The Mathematics of Finite Elements and Applications X (MAFELAP 1999)
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