I am very pleased to have this opportunity to honor Frank J. Rizzo, following his retirement, by contributing to this volume. My professional and close personal association with Frank for two decades was one of the great privileges and pleasures of my life. Our lives were closely entwined not only as teaching and research colleagues but also as goo...
My first exposure to what were best known then as potential methods was around the 1965-1966 academic year at the University of Washington in Seattle, Washington. I had been a stress analyst at The Boeing Company, working on the US's version of the Supersonic Transport, which was properly fated for many reasons never to be built and fly. As a stres...
Based on the Rizzo’s direct boundary integral equation formulation for elasticity problems, elastic bodies with randomly distributed circular inclusions are simulated using the boundary element method. The given numerical examples show that the boundary element method is more accurate and more efficient than the finite element method for such type ...
In this paper, a short historical review of the BEM research in China is given first. The investigation on the BEM in China was started in 1978 at the Tsinghua University, based on the pioneering work published by Frank Rizzo [F. J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math., 25, 8...
The development of boundary element methods as seen by one researcher in the field is described, from publication of the first results in 1963 to the present day. Details are given of the circumstances in which research was carried out. The objectives of the research are outlined, and the strategy according to which progress was made towards those ...
The present paper discusses the author’s experience and contributions to the implementation and development of the boundary element method (BEM). The main motivation for this descriptive text is to pay homage to Professor Frank Rizzo’s well known career, dedicated to boundary integral techniques, whose recent retirement certainly deserves recogniti...
Abstract This is the first of two special issues of the Electronic Journal of Boundary Elements dedicated to Frank Rizzo. To say that Frank Rizzo played an important role in the development of what he referred to as “boundary integral equations” would not give much credit to where much credit is due. While it could be argued that the use of integra...
This memoir is about some embryonic thoughts and experiences with what is now often called the Direct Boundary Integral Method for boundary value problems in ‘classical elastostatics.’ It covers a very early period for me, from about 1954 to 1965, when I wrestled with relevant theoretical and mathematical issues, which I thought were important, pri...
List of Technical Publications, Conference Presentations, and Lectures March 27, 2003
Frank Rizzo proposed the first Boundary Integral Equation (BIE) formulation for linear elasticity in a seminal paper in 1967. I have had the very good fortune to call Frank a friend of mine for many years. The present paper describes some of my experiences with the BIE over nearly thirty years, some of it in the context of Frank’s pioneering contri...
