Topics in Boundary Element Research

1. Front Matter

   Pages I-XIII

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2. Boundary Integral Formulations

   • C. Brebbia, J. J. Connor

   Pages 1-12

3. A Review of the Theory

   • M. A. Jaswon

   Pages 13-40

4. Applications in Transient Heat Conduction

   • H. L. G. Pina, J. L. M. Fernandes

   Pages 41-58

5. Fracture Mechanics Application in Thermoelastic States

   • M. Tanaka, H. Togoh, M. Kikuta

   Pages 59-77

6. Applications of Boundary Element Methods to Fluid Mechanics

   • J. A. Liggett, P. L.-F. Liu

   Pages 78-96

7. Water Waves Analysis

   • M. C. Au, C. A. Brebbia

   Pages 97-122

8. Interelement Continuity in the Boundary Element Method

   • C. Patterson, M. A. Sheikh

   Pages 123-141

9. Applications in Geomechanics

   • W. S. Venturini, C. A. Brebbia

   Pages 142-169

10. Applications in Mining

    • G. Beer, J. L. Meek

    Pages 170-203

11. Finite Deflection of Plates

    • N. Kamiya, Y. Sawaki

    Pages 204-224

12. Trefftz Method

    • Ismael Herrera

    Pages 225-253

13. Back Matter

    Pages 255-258

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As the Boundary Element Method develops into a tool of engineering analysis more effort is dedicated to studying new applications and solving different problems. This book contains chapters on the basic principles of the technique, time dependent problems, fluid mechanics, hydraulics, geomechanics and plate bending. The number of non-linear and time dependent problems which have become amenable to solution using boundary elements have induced many researchers to investigate in depth the basis of the method. Chapter 0 of this book presents an ap­ proach based on weighted residual and error approximations, which permits easy construction of the governing boundary integral equations. Chapter I reviews the theoretical aspects of integral equation formulations with emphasis in their mathematical aspects. The analysis of time dependent problems is presented in Chap. 2 which describes the time and space dependent integral formulation of heat conduction problems and then proposes a numerical procedure and time marching algorithm. Chapter 3 reviews the application of boundary elements for fracture mechanics analysis in the presence of thermal stresses. The chapter presents numerical results and the considerations on numerical accuracy are of interest to analysts as well as practising engineers.

• algorithms
• engineer
• fluid mechanics
• fracture mechanics
• mechanics
• research

• Department of Civil Engineering, The University, Southampton, England

  Carlos A. Brebbia

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