کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4964234 1447419 2017 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Adaptive isogeometric analysis with hierarchical box splines
ترجمه فارسی عنوان
تجزیه و تحلیل انعطاف پذیری سازگار با اسپلین های جعبه سلسله مراتبی
کلمات کلیدی
آنالیز ایزوگومتریک، سازگاری، پالایش محلی، جعبه سلولی سلسله مراتبی، تقسیم جعبه سلسله مراتبی، شرایط مرزی ضعیف،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Isogeometric analysis is a recently developed framework based on finite element analysis, where the simple building blocks in geometry and solution space are replaced by more complex and geometrically-oriented compounds. Box splines are an established tool to model complex geometry, and form an intermediate approach between classical tensor-product B-splines and splines over triangulations. Local refinement can be achieved by considering hierarchically nested sequences of box spline spaces. Since box splines do not offer special elements to impose boundary conditions for the numerical solution of partial differential equations (PDEs), we discuss a weak treatment of such boundary conditions. Along the domain boundary, an appropriate domain strip is introduced to enforce the boundary conditions in a weak sense. The thickness of the strip is adaptively defined in order to avoid unnecessary computations. Numerical examples show the optimal convergence rate of box splines and their hierarchical variants for the solution of PDEs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 316, 1 April 2017, Pages 817-838
نویسندگان
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