The mathematics of finite elements and Applications V

The mathematics of finite elements and Applications V

Mafelap 1984

1st Edition - January 28, 1985

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  • Editor: J Whiteman
  • eBook ISBN: 9780323143714

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Description

The Mathematics of Finite Elements and Applications V is the summary of invited papers and the abstracts of the poster papers in the fifth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1984, held at Brunei University in May 1984. Said symposium discussedfield of finite elements, including its techniques, theory, application, and implementation . The coverage of the book includes a wide range of mathematical topics under finite elements, including its method, calculations, analysis, and applications. The book also encompasses topics of computer-generated geometric design interface; modeling in an integrated computer design; and determination of dimensional field lines. Acidized channels in chalk formations, elastodynamics, stress analysis, and infinite elements are also discussed. The book also looks at isoparametric and hierarchical element procedures and Petrov-Galerkin methods. The text is recommended for mathematicians, engineers, and those in the field of information technology who would like to know more about finite elements and its applications in their respective fields.

Table of Contents


  • Contents

    Contributors

    Preface

    High Speed Inviscid Compressible Flow by the Finite Element Method

    Finite Element Calculations of Parameters for Singularities in Problems of Fracture

    New Solution Procedures for Linear and Non-Linear Finite Element Analysis

    Automatic Mesh Generation: A Finite Element/Computer Aided Geometric Design Interface

    Finite Element Modeling in an Integrated Computer Aided Design Environment

    A Method for Determination of Two-Dimensional Field Lines

    Finite Element on the D. A. P.

    Design and Implementation of an Efficient Three-Dimensional

    Finite Element Code for High Temperature Problems

    Finite Element Modeling of Viscoelastic Material: Response of Polymeric Structures

    Finite Elements with Singular Shape Functions for Quadrilateral and Brick Elements

    The Final Shape of Acidized Channels in Chalk Formations After Fracture Closure

    An Assessment of Different Three-Dimensional Element Models in Linear Elastic Fracture Mechanics

    Numerical Studies of Bifurcation and Pulse Evolution in Mathematical Biology

    On Some Mathematical Aspects of Boundary Element Methods for Elliptic Problems

    The Solution of Time Dependent Problems Using Boundary Elements

    A Boundary Element Method for Stokes Equations in 3-D Exterior Domains

    Creation of a Mass Matrix in Elastodynamics by the Boundary Element Method

    Stress Analysis with a Combination of HSM and BEM

    Infinite Elements for the Analysis of Unbounded Domain Problems

    Combining Isoparametric and Hierarchical Element Procedures

    On the Improvement of Numerical Accuracy of FEM-Solutions

    A General Finite Element Framework for Nodal Methods

    Implementing Finite Element Methods on a Supercomputer

    Error Bounds for the Approximation of the Stokes Problem Using

    Bilinear/Constant Elements on Irregular Quadrilateral Meshes

    Mixed Finite Element Approximation of a Fluid Flow Problem

    Petrov-Galerkin Methods and Diffusion-Convection Problems in 2D

    Some Superconvergence Results for Mixed Finite Element

    Methods for Elliptic Problems on Rectangular Domains

    On Optimization Aspects of a CFD Finite Element Penalty Algorithm

    Finite Elements for Nonlinear Integro-Differential Equations and Their Integration in- Time

    Moving Finite Element Methods for the Solution of Evolutionary Equations in One and Two Dimensions

    On the Convergence of a Finite Element Method for Solving a

    Nonlinear Free Boundary Problem Related to MHD Equilibria

    On the Norm of the Sobolev Imbedding of H2(G) into C(G) for Square Domains in IR²

    Dynamic Implementation of the h-Version of the Finite Element Method

    Abstracts of Poster Sessions

    1. A . Raster Scan Algorithm for Generating Hidden Isoparameteric Surfaces

    2. Application of a Direct Elimination Procedure in the Boundary Element Analysis of Multi-Region Problems

    3. A Fully Interactive Multigrid Finite Element Stress Package

    4. Treatment of a Re-Entrant Vertex in a Three-Dimensional Poisson Problem

    5. The Homogenization Method Applied to Free Surface Seepage in Layered Porous Media

    6. A Simple Test Example for Error Bounds for the Finite Element Method

    7. Body Oriented Coordinates Applied to the Finite-Element-Method

    8. Characteristic Impedance of Transmission Lines Using Dual Finite-Elements

    9. On Chebysev Pseudospectral Calculations with Finite Element Reconditioning

    10. The Implementation of Finite Element Methods on the ICL DAP Parallel Processor

    11. Optimal Interpolation Schemes for Quadrilateral Plate Bending Elements

    12. Simulation of the Elastoplastic Indentation of a Sphere Against a Halfspace Using the Finite Element Methods

    13. Finite Element Analysis of Singular Diffusion Equations

    14. A Finite Element Solution of the Three-Dimensional Neutron Transport Equation

    15. On the Convergence of Mixed Finite Element Methods for the Transient Response of the Timoshenko Beam

    16. The NAG/SERC Finite Element Library

    17. Galerkin or Collocation for Second Kind Integral Equations?

    18. Variational Inequalities in Plasticity—Dual Finite Element Approach

    19. A Three-Dimensional Finite Element Analysis of Bulging during the Continuous Casting of Steel Slabs and Blooms

    20. Superconvergent Recovery of the Gradient from Finite Element Approximations on Linear Triangles

    21. Different Finite Element Approximations for Reverse-Biased Semiconductor Devices

    22. Stability of Rotating Systems Using Nonlinear Finite Element Methods

    23. The Application of Boundary Element Method to External Flow Problems

    24. SAFE — Stress Analysis Using Finite Elements

    25. On the Quasi-Coupled Signorini Problem with Friction in Linear Thermo-Elasticity

    26. Application of Finite Element Method for Solution of Electroanalytical Problems

    27. Feltran

    28. An Adaptive Finite Element Approach to a Plate Problem

    29. Accurate Two-Dimensional Finite Element Modeling of Charge Coupled Devices

    30. A Finite Element Method for Solving a Packed Batch Distillation Problem

    31. Spaces of Piecewise Polynomials in Two Variables

    32. Boundary Element Methods for Crack Problems in the Presence of Body Forces

    33. A Computational Study of Branching in Nonlinear Water Waves

    34.Theory and Practice of Efficient CAD-Implementations in Structural Analysis

    35. Steady State Temperature Distribution in the Human Torso

    Index

Product details

  • No. of pages: 668
  • Language: English
  • Copyright: © Academic Press 1985
  • Published: January 28, 1985
  • Imprint: Academic Press
  • eBook ISBN: 9780323143714

About the Editor

J Whiteman

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