Analytic Element Method: Complex interactions of boundaries and interfaces
"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 element...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford University Press
2020
|
| Ausgabe: | First edition |
| Schlagworte: | |
| Zusammenfassung: | "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 elementsusing 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 8-12significant 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 |
| Beschreibung: | xi, 324 Seiten Illustrationen, Diagramme 246 mm |
| ISBN: | 9780198856788 |
Internformat
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| 100 | 1 | |a Steward, David R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Analytic Element Method |b Complex interactions of boundaries and interfaces |c David R. Steward |
| 250 | |a First edition | ||
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| 520 | |a "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 elementsusing 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 8-12significant 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 | ||
| 650 | 4 | |a bicssc / Analytical mechanics | |
| 650 | 4 | |a bicssc / Environmental science, engineering & technology | |
| 650 | 4 | |a bicssc / Earth sciences | |
| 650 | 4 | |a bicssc / Civil engineering, surveying & building | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-032235367 | |
Datensatz im Suchindex
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| illustrated | Illustrated |
| index_date | 2024-07-03T15:03:54Z |
| indexdate | 2024-10-16T14:00:45Z |
| institution | BVB |
| isbn | 9780198856788 |
| language | English |
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| physical | xi, 324 Seiten Illustrationen, Diagramme 246 mm |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Oxford University Press |
| record_format | marc |
| spelling | Steward, David R. Verfasser aut Analytic Element Method Complex interactions of boundaries and interfaces David R. Steward First edition Oxford Oxford University Press 2020 xi, 324 Seiten Illustrationen, Diagramme 246 mm txt rdacontent n rdamedia nc rdacarrier "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 elementsusing 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 8-12significant 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 bicssc / Analytical mechanics bicssc / Environmental science, engineering & technology bicssc / Earth sciences bicssc / Civil engineering, surveying & building |
| spellingShingle | Steward, David R. Analytic Element Method Complex interactions of boundaries and interfaces bicssc / Analytical mechanics bicssc / Environmental science, engineering & technology bicssc / Earth sciences bicssc / Civil engineering, surveying & building |
| title | Analytic Element Method Complex interactions of boundaries and interfaces |
| title_auth | Analytic Element Method Complex interactions of boundaries and interfaces |
| title_exact_search | Analytic Element Method Complex interactions of boundaries and interfaces |
| title_exact_search_txtP | Analytic Element Method Complex interactions of boundaries and interfaces |
| title_full | Analytic Element Method Complex interactions of boundaries and interfaces David R. Steward |
| title_fullStr | Analytic Element Method Complex interactions of boundaries and interfaces David R. Steward |
| title_full_unstemmed | Analytic Element Method Complex interactions of boundaries and interfaces David R. Steward |
| title_short | Analytic Element Method |
| title_sort | analytic element method complex interactions of boundaries and interfaces |
| title_sub | Complex interactions of boundaries and interfaces |
| topic | bicssc / Analytical mechanics bicssc / Environmental science, engineering & technology bicssc / Earth sciences bicssc / Civil engineering, surveying & building |
| topic_facet | bicssc / Analytical mechanics bicssc / Environmental science, engineering & technology bicssc / Earth sciences bicssc / Civil engineering, surveying & building |
| work_keys_str_mv | AT stewarddavidr analyticelementmethodcomplexinteractionsofboundariesandinterfaces |