کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9509643 1341409 2005 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stable hp mixed finite elements based on the Hellinger-Reissner principle
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Stable hp mixed finite elements based on the Hellinger-Reissner principle
چکیده انگلیسی
In the Hellinger-Reissner formulation for linear elasticity, both the displacement u and the stress σ are taken as unknowns, giving rise to a saddle point problem. We present new pairings of quadrilateral 'trunk' finite element spaces for this method and prove stability (and optimality) in terms of both h and p. The effect of mesh shape regularity on the stability constant is explicitly tracked. Our results provide a theoretical basis for recent numerical experiments (in the context of a mixed p formulation for viscoelasticity) that showed these spaces worked well computationally.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 174, Issue 2, 15 February 2005, Pages 213-225
نویسندگان
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