Overview

The Green element method (GEM) is a novel approach of implementing in an element-by-element fashion the singular boundary integral theory, thereby enhancing the capabilities of the theory in terms of ease in solving nonlinear problems, adapting to heterogeneous problems, and achieving spareness in the global coefficient matrix. By proceeding in this manner, GEM provides solutions to linear, nonlinear, steady and transient engineering problems in one- and two-dimensional domains, some of which hitherto could not be handled by the boundary integral theory. The primary motivation for the Green element method, therefore, lies in the enhancement of the computational capabilities that it has given to the boundary element theory. 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 their applications to engineering problems, and as a resource material for research scientists, applied mathematicians, numerical analysts, and engineers who may wish to take these ideas to new frontiers and applications. To enhance the feel for the method, exercises are presented at the end of some of the chapters, and sample data can be run with the executable program GEMLN1D that can be accessed either at: www.nust.ac.zw/aetaigbenu/gem/GEMLN1D or: www.lafetech.com/gem/GEMLN1D.

Full Product Details

Author:   Akpofure E. Taigbenu
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1999
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.569kg
ISBN:  

9781441950871

ISBN 10:   1441950877
Pages:   354
Publication Date:   03 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1: Preliminaries.- 2: Linear Laplace/Poisson Equation.- 3: Nonlinear Laplace/Poisson Equation.- 4: Helmholtz Equation.- 5: Transient Diffusion.- 6: Transport Equation.- 7 Burgers Equation.- 8 Unsaturated Flow (Richards Equation).- 9 Higher-Order Elements.- 10 Steady Two-Dimensional Problems.- 11 Unsteady Two-Dimensional Problems.- 12 Further Considerations.- Appendix A.- A.1 Capabilities of the Program GEMLN1D.- A.2 User Manual of the Executable Program GEMLN1D.- A.3 Hint to Solution to some of the Exercises.- Appendix B.- B.1 Element Matrices for Linear Rectangular Elements.- B.2 Element Matrices for Linear Triangular Elements.- Appendix C.- C.1 Element Matrices for Quadratic Rectangular Elements.- C.2 Element Matrices for Quadratic Triangular Elements.- Author Index.

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