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The Green Element Method - Akpofure E. Taigbenu

The Green Element Method

Hardcover

Published: 31st May 1999
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Most texts on computational methods are borne out of research activities at postgraduate study programs, and this is no exception. After being introduced to the boundary element method (BEM) (then referred to as the boundary integral equation method (BIEM)) in 1981 by Prof. Jim Liggett of Cornell University, a number of graduate students and myself under his supervision took active interest in the development of the theory and its application to a wide range of engineering problems. We certainly achieved some amount of success. A personal desire to have a deeper understanding and appreciation of computational methods prompted one to take related courses in fmite deference method, and to undertake a self-instructed study of variational and fmite element methods. These exposures were not only quite instructive but fruitful, and may have provided the motivation for the current research on the Green element method (GEM) - a name coined by Prof. Liggett in 1987 during my visit as Professor to the School of Civil & Environmental Engineering, Cornell University. The main objectives of this text are to serve as an instructional material to senior undergraduate and first year graduate students undertaking a course in computational methods, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to other frontiers and applications.

Preface
Acknowledgements
Preliminaries
Linear Laplace/Poisson Equations
Nonlinear Laplace/Poisson Equation
Helmholtz Equation
Transient Diffusion
Transport Equation
Burgers Equation
Unsaturated Flow (Richards Equation)
Higher-Order Elements
Steady Two-Dimensional Problems
Unsteady Two-Dimensional Problems
Further Considerations
Capabilities of the Program GEMLN1D
User Manual of the Executable Program GEMLN1D
Hint to Solutions to Some of the Exercises
Element Matrices for Linear Rectangular Elements
Element Matrices for Linear Triangular Elements
Element Matrices for Quadratic Rectangular Elements
Element Matrices for Quadratic Triangular Elements
Author Index
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792385103
ISBN-10: 0792385101
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 354
Published: 31st May 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.77 x 17.78  x 3.18
Weight (kg): 0.75