کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
468332 698219 2012 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Axisymmetric Stokes equations in polygonal domains: Regularity and finite element approximations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Axisymmetric Stokes equations in polygonal domains: Regularity and finite element approximations
چکیده انگلیسی

We study the regularity and finite element approximation of the axisymmetric Stokes problem on a polygonal domain ΩΩ. In particular, taking into account the singular coefficients in the equation and non-smoothness of the domain, we establish the well-posedness and full regularity of the solution in new weighted Sobolev spaces Kμ,1m(Ω). Using our a priori results, we give a specific construction of graded meshes on which the Taylor–Hood mixed method approximates singular solutions at the optimal convergence rate. Numerical tests are presented to confirm the theoretical results in the paper.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 64, Issue 11, December 2012, Pages 3500–3521
نویسندگان
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