کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441423 691744 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matched GkGk-constructions always yield CkCk-continuous isogeometric elements
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Matched GkGk-constructions always yield CkCk-continuous isogeometric elements
چکیده انگلیسی


• A construction principle for engineering analysis elements is formally verified.
• The principle yields isogeometric CkCk elements from GkGk-manifold constructions.
• The manifold representations can have irregular (extraordinary, star)points.
• The principle applies in any number of variables and any number of range dimensions.
• As a consequence, GkGk-constructions can directly be used to solve PDEs on manifolds

GkGk (geometrically continuous surface) constructions were developed to create surfaces that are smooth also at irregular points where, in a quad-mesh, three or more than four elements come together. Isogeometric elements were developed to unify the representation of geometry and of engineering analysis. We show how matched GkGk constructions for geometry and analysis automatically yield CkCk isogeometric elements. This provides a formal framework for the existing and any future isogeometric elements based on geometric continuity.

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ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 34, March 2015, Pages 67–72
نویسندگان
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