کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
499635 | 863053 | 2008 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Interior superconvergence in mortar and non-mortar mixed finite element methods on non-matching grids
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We establish interior velocity superconvergence estimates for mixed finite element approximations of second order elliptic problems on non-matching rectangular and quadrilateral grids. Both mortar and non-mortar methods for imposing the interface conditions are considered. In both cases it is shown that a discrete L2L2-error in the velocity in a compactly contained subdomain away from the interfaces converges of order O(h1/2)O(h1/2) higher than the error in the whole domain. For the non-mortar method we also establish pressure superconvergence, which is needed in the velocity analysis. Numerical results are presented in confirmation of the theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 49–50, 15 September 2008, Pages 4307–4318
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 49–50, 15 September 2008, Pages 4307–4318
نویسندگان
Gergina Pencheva, Ivan Yotov,