Graduate Thesis Or Dissertation
Geometrically Exact and Analysis Suitable Mesh Generation Using Rational Bernstein–Bezier Elements Public Deposited
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https://scholar.colorado.edu/concern/graduate_thesis_or_dissertations/kk91fk87f
- Abstract
- 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--Bézier 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--Bézier elements. From this, we derive a set of easily computable mesh quality metrics for verifying that a rational Bernstein--Bézier discretization will be analysis suitable.
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- 2018
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- 2019-11-14
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geometricallyExactAndAnalysisSuitableMeshGenerationUsingR.pdf | 2019-11-14 | Public | Download |