کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470395 698462 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A simple construction of a Fortin operator for the two dimensional Taylor–Hood element
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A simple construction of a Fortin operator for the two dimensional Taylor–Hood element
چکیده انگلیسی

A Fortin operator is constructed to verify the discrete inf–sup condition for the lowest order Taylor–Hood element and its variant in two dimensions. The approach is closely related to the recent work by Mardal et al. (2013). That is based on the isomorphism of the tangential edge bubble function space to a subspace of the lowest order edge element space. A more precise characterization of this subspace and a numerical quadrature are introduced to simplify the analysis and remove the mesh restriction. The constructed Fortin operator is stable in both H1H1 and L2L2 norm for general shape regular triangulations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issue 10, November 2014, Pages 1368–1373
نویسندگان
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