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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

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1st Edition - January 28, 1985

Editor: J Whiteman

Language: EnglisheBook ISBN:

9 7 8 - 0 - 3 2 3 - 1 4 3 7 1 - 4

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… Read more

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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.

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

- No. of pages: 668
- Language: English
- Edition: 1
- Published: January 28, 1985
- Imprint: Academic Press
- eBook ISBN: 9780323143714

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