مورد إلكتروني

Isogeometric de Rham complex discretization in solid toroidal domains

التفاصيل البيبلوغرافية
العنوان: Isogeometric de Rham complex discretization in solid toroidal domains
بيانات النشر: 2021-06-19
تفاصيل مُضافة: Patrizi, Francesco
نوع الوثيقة: Electronic Resource
مستخلص: In this work we define a spline complex preserving the cohomological structure of the continuous de Rham complex when the underlying physical domain is a toroidal solid. In the spirit of the isogeometric analysis, the spaces involved will be defined as pushforward of suitable spline spaces on a parametric domain. The singularity of the parametrization of the solid will demand the imposition of smoothness constraints on the full tensor product spline spaces in the parametric domain to properly set up the discrete complex on the physical domain.
Comment: 39 pages, 16 figures
مصطلحات الفهرس: Mathematics - Numerical Analysis, 65N30, 58A10, 65D07, text
URL: http://arxiv.org/abs/2106.10470
الإتاحة: Open access content. Open access content
أرقام أخرى: COO oai:arXiv.org:2106.10470
1269559434
المصدر المساهم: CORNELL UNIV
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رقم الأكسشن: edsoai.on1269559434
قاعدة البيانات: OAIster