The Green Element Method

Softcover Nachdruck of hardcover 1. Auflage 1999
ISBN: 978-1-4419-5087-1
Verlag: Springer US

Buch, Englisch, 354 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 563 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Taigbenu, Akpofure E.

Fachgebiete

• Technische Wissenschaften Umwelttechnik | Umwelttechnologie Luftreinhaltung
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Geowissenschaften Umweltwissenschaften Angewandte Ökologie
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Technische Wissenschaften Umwelttechnik | Umwelttechnologie Umwelttechnik
• Technische Wissenschaften Bauingenieurwesen Bauingenieurwesen
• Geowissenschaften Umweltwissenschaften Umwelttechnik

Inhaltsverzeichnis

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.