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Geometrically Exact and Analysis Suitable Mesh Generation using Rational Bernstein-Bezier Elements
Başlık:
Geometrically Exact and Analysis Suitable Mesh Generation using Rational Bernstein-Bezier Elements
Yazar:
Engvall, Luke Houlden, author.
ISBN:
9780355966350
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (168 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Advisors: John A. Evans Committee members: John A. Evans; Peter Hamlington; Daven Henze; Kenneth Jansen; Franck Vernery.
Özet:
This dissertation presents two novel contributions to the fields of isogeometric analysis and p-version finite elements. First, we present a framework for geometrically exact volumetric mesh generation. By leveraging ideas from both traditional mesh generation as well as isogeometric analysis, we develop a framework for volumetric mesh generation using rational Bernstein--Bezier discretizations. Within this framework, we provide a set of easily verifiable sufficient conditions for guaranteeing that a mesh will be geometrically exact. Second, we develop a complete theory of mesh quality for these rational Bernstein--B\'{e}zier elements. From this, we derive a set of easily computable mesh quality metrics for verifying that a rational Bernstein--Bezier discretization will be analysis suitable.
Notlar:
School code: 0051
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(680147.1) | 680147-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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