کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4963832 | 1447411 | 2017 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cut finite element methods for elliptic problems on multipatch parametric surfaces
ترجمه فارسی عنوان
روشهای عنصری محدود برای مشکلات بیضوی در سطوح پارامتری چندمتغیره
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
We develop a finite element method for the Laplace-Beltrami operator on a surface described by a set of patchwise parametrizations. The patches provide a partition of the surface and each patch is the image by a diffeomorphism of a subdomain of the unit square which is bounded by a number of smooth trim curves. A patchwise tensor product mesh is constructed by using a structured mesh in the reference domain. Since the patches are trimmed we obtain cut elements in the vicinity of the interfaces. We discretize the Laplace-Beltrami operator using a cut finite element method that utilizes Nitsche's method to enforce continuity at the interfaces and a consistent stabilization term to handle the cut elements. Several quantities in the method are conveniently computed in the reference domain where the mappings impose a Riemannian metric. We derive a priori estimates in the energy and L2 norm and also present several numerical examples confirming our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 324, 1 September 2017, Pages 366-394
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 324, 1 September 2017, Pages 366-394
نویسندگان
Tobias Jonsson, Mats G. Larson, Karl Larsson,