A Unified Approach to the Finite Element Method and Error Analysis Procedures
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| Title: | A Unified Approach to the Finite Element Method and Error Analysis Procedures |
|---|---|
| Description: | A Unified Approach to the Finite Element Method and Error Analysis Procedures provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization errors in the overall model; 3) point-wise errors in the final stress or strain results.Thoroughly class tested with undergraduate and graduate students. A Unified Approach to the Finite Element Method and Error Analysis Procedures is sure to become an essential resource for students as well as practicing engineers and researchers. - New, simpler element formulation techniques, model-independent results, and error measures - New polynomial-based methods for identifying critical points - New procedures for evaluating sheer/strain accuracy - Accessible to undergraduates, insightful to researchers, and useful to practitioners - Taylor series (polynomial) based - Intuitive elemental and point-wise error measures - Essential background information provided in 12 appendices |
| Authors: | Julian A. T. Dow |
| Resource Type: | eBook. |
| Subjects: | Error analysis (Mathematics), Finite element method |
| Categories: | TECHNOLOGY & ENGINEERING / Mechanical, MATHEMATICS / Applied |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf – Type: ebook-epub Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Unified Approach to the Finite Element Method and Error Analysis Procedures – Name: Abstract Label: Description Group: Ab Data: A Unified Approach to the Finite Element Method and Error Analysis Procedures provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization errors in the overall model; 3) point-wise errors in the final stress or strain results.Thoroughly class tested with undergraduate and graduate students. A Unified Approach to the Finite Element Method and Error Analysis Procedures is sure to become an essential resource for students as well as practicing engineers and researchers. - New, simpler element formulation techniques, model-independent results, and error measures - New polynomial-based methods for identifying critical points - New procedures for evaluating sheer/strain accuracy - Accessible to undergraduates, insightful to researchers, and useful to practitioners - Taylor series (polynomial) based - Intuitive elemental and point-wise error measures - Essential background information provided in 12 appendices – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Julian+A%2E+T%2E+Dow%22">Julian A. T. Dow</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Error+analysis+%28Mathematics%29%22">Error analysis (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22TECHNOLOGY+%26+ENGINEERING+%2F+Mechanical%22">TECHNOLOGY & ENGINEERING / Mechanical</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 620.00151535 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Error analysis (Mathematics) Type: general – SubjectFull: Finite element method Type: general Titles: – TitleFull: A Unified Approach to the Finite Element Method and Error Analysis Procedures Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Julian A. T. Dow – PersonEntity: Name: NameFull: Julian A. T. Dow IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 1999 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780122214400 – Type: isbn-electronic Value: 9780080543420 Titles: – TitleFull: A Unified Approach to the Finite Element Method and Error Analysis Procedures Type: main |
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