Analytic Element Method: Complex Interactions of Boundaries and Interfaces

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David R. Steward (Professor and Chair, Department of Civil and Environmental Engineering, Professor and Chair, Department of Civil and Environmental Engineering, North Dakota State University)

Analytic Element Method

Complex Interactions of Boundaries and Interfaces

David R. Steward (Professor and Chair, Department of Civil and Environmental Engineering, Professor and Chair, Department of Civil and Environmental Engineering, North Dakota State University)

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English

Oxford University Press
29 August 2020

Analytical mechanics; Mathematical physics; Earth sciences; Civil engineering, surveying & building; Environmental science, engineering & technology

"""Analytic Element Method"" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science. As the subtitle ""Complex Interactions of Boundaries and Interfaces"" suggests, problems are partitioned into sets of elements and methods are formulated to solve conditions along their boundaries and interfaces. Presentation will place an element within its landscape, formulate its interactions with other elements using linear series of influence functions, and then solve for its coefficients to match its boundary and interface conditions. Computational methods enable boundary and interface conditions of closely interacting elements to be matched with nearly exact precision, commonly to within 8-12 significant digits. Comprehensive solutions provide elements that collectively interact and shape the environment within which they exist.

This work is grounded in a wide range of foundational studies, using exact solutions for important boundary value problems. However, the computational capacity of their times limited solutions to idealized problems, commonly involving a single isolated element within a uniform regional background. With the advent of modern computers, such mathematically based methods were passed over by many, in the pursuit of discretized domain solutions using finite element and finite difference methods. Yet, the elegance of the mathematical foundational studies remains, and the rationale for the Analytic Element Method was inspired by the realization that computational advances could also lead to advances in the mathematical methods that were unforeseeable in the past."

By: David R. Steward (Professor and Chair Department of Civil and Environmental Engineering Professor and Chair Department of Civil and Environmental Engineering North Dakota State University)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 253mm, Width: 195mm, Spine: 23mm
Weight: 1g
ISBN: 9780198856788
ISBN 10: 0198856784
Pages: 336
Publication Date: 29 August 2020
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

Professor David R. Steward is chair of the Department of Civil and Environmental Engineering at North Dakota State University and holds the Walter B. Booth Distinguished Professorship. Dr. Steward teaches courses in groundwater flow, water resources, hydraulics and engineering mathematics. He is licensed as a Professional Engineer (North Dakota and Minnesota) and a Professional Geoscientist (Texas), and is a Fellow of the American Society of Civil Engineers.

Reviews for Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Review from previous edition Dr. Steward's book Analytic Element Method: Complex Interactions of Boundaries and Interfaces clearly outlines the mathematical foundations of Analytic Element Method (AEM) modeling techniques. The book could serve as a fine text for graduate-level courses on analytic modeling. * Charlie Fitts, Fitts Geosolutions, LLC *