eBook
Analytic Element Method : Complex Interactions of Boundaries and Interfaces
| Τίτλος: | Analytic Element Method : Complex Interactions of Boundaries and Interfaces |
|---|---|
| Περιγραφή: | '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. |
| Συγγραφείς: | David R. Steward |
| Resource Type: | eBook. |
| Θέματα: | Boundary element methods, Boundary value problems, Mathematical analysis, Mathematical analysis--Computer programs |
| Categories: | NATURE / Rocks & Minerals |
| Βάση Δεδομένων: | eBook Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: edsebk DbLabel: eBook Index An: 3045018 RelevancyScore: 950 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 949.708740234375 |
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| Items | – Name: Title Label: Title Group: Ti Data: Analytic Element Method : Complex Interactions of Boundaries and Interfaces – Name: Abstract Label: Description Group: Ab Data: '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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22David+R%2E+Steward%22">David R. Steward</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Boundary+element+methods%22">Boundary element methods</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis--Computer+programs%22">Mathematical analysis--Computer programs</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22NATURE+%2F+Rocks+%26+Minerals%22">NATURE / Rocks & Minerals</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=3045018 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 620.00151 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Boundary element methods Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Mathematical analysis--Computer programs Type: general Titles: – TitleFull: Analytic Element Method : Complex Interactions of Boundaries and Interfaces Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: David R. Steward – PersonEntity: Name: NameFull: David R. Steward IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2020 – D: 13 M: 09 Type: profile Y: 2024 Identifiers: – Type: isbn-print Value: 9780198856788 – Type: isbn-electronic Value: 9780192598820 Titles: – TitleFull: Analytic Element Method : Complex Interactions of Boundaries and Interfaces Type: main |
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