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Analytic Element Method: Complex Interactions of Boundaries and Interfaces - Hardcover

 
9780198856788: Analytic Element Method: Complex Interactions of Boundaries and Interfaces
  • PublisherOxford University Press
  • Publication date2020
  • ISBN 10 0198856784
  • ISBN 13 9780198856788
  • BindingHardcover
  • LanguageEnglish
  • Number of pages336

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ISBN 10: 0198856784 ISBN 13: 9780198856788
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ISBN 10: 0198856784 ISBN 13: 9780198856788
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Steward, David R.
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Published by Oxford University Press, Oxford, 2020
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Hardcover. Condition: new. Hardcover. "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 otherelements 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 ofclosely 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 asingle 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 solutionsusing 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. "Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198856788

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