Finite Elements

1. Front Matter

   Pages i-x

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2. Survey of the Status of Finite Element Methods for Partial Differential Equations

   • Roger Temam

   Pages 1-33

3. A Survey of Mixed Finite Element Methods

   • F. Brezzi

   Pages 34-49

4. Singular Finite Element Methods

   • George J. Fix

   Pages 50-66

5. The Finite Element Method for Hyperbolic Systems

   • O. Pironneau

   Pages 67-93

6. Iterative Methods for Elliptic Finite Element Equations on General Meshes

   • R. A. Nicolaides, Shenaz Choudhury

   Pages 94-123

7. Mathematical Aspects of Finite Element Methods for Incompressible Viscous Flows

   • Max D. Gunzburger

   Pages 124-150

8. Gradient Weighted Moving Finite Elements in Two Dimensions

   • Neil Carlson, Keith Miller

   Pages 151-164

9. Adaptive Finite Element Flux Corrected Transport Techniques for CFD

   • K. Morgan, J. Peraire, R. Löhner

   Pages 165-175

10. Remarks on Mixed and Singular Finite Elements and on the Field Boundary Element Method

    • Satya N. Atluri

    Pages 176-198

11. The p and h-p Versions of the Finite Element Method: The State of the Art

    • I. Babuška

    Pages 199-239

12. Transient Analysis Methods in Computational Dynamics

    • K. C. Park

    Pages 240-267

13. Adaptive Finite Element Methods for Problems in Solid and Fluid Mechanics

    • J. Tinsley Oden

    Pages 268-291

14. Finite Element Methodology for Integrated Flow-Thermal-Structural Analysis

    • Earl A. Thornton, Pramote Dechaumphai

    Pages 292-302

This volume covers the proceedings ofthe ICASE/LaRC workshop on "Finite Element Theory and Application" held during July 28-30, 1986. The purpose of this workshop was to provide an update on the status of finite element theory, to assess the impactoftbis theory on practice, and to suggest directions for Cuture research. There were thirteen participants in the workshop. Some of them were leading mathematicians working on the finite element theory, and the rest expert practitioners in the areas of fluid dynamics and structural analysis. The first six articles in this volume provide a brief review of the theoretical and computational aspects of finite element methods (FEM). The remaining seven articles deal with a variety of applications highlighting the type of results that are possible, and indicating areas which deserve future research. The first article is by Temam. lt provides an introduction and overview of the general finite element methods for the nonspecialist. lt also illustrates the power of finite element methods with two specific applications-the free­ surface flowjstructure interaction problern and the compressible Euler solu­ tion to the flow past a finite aspect ratio flat plate at incidence. The second article by Brezzi is againan introduction and overview ofmixed finite element methods. lt includes a brief discussion of special techniques for solving the discrete problem, as weil as some applications to certain basic problems in elasticity and hydrodynamics.

• calculus
• fluid mechanics
• mechanics
• partial differential equation
• transport

• NASA Langley Research Centre, Hampton, USA

  D. L. Dwoyer

• Institute for Computer Applications in Science and Engineering (ICASE) ICASE/NASA, NASA Langley Research Center, Hampton, USA

  M. Y. Hussaini, R. G. Voigt

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