کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499373 863042 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Residual-free bubbles for embedded Dirichlet problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Residual-free bubbles for embedded Dirichlet problems
چکیده انگلیسی

We examine a stabilized method employing residual-free bubbles for enforcing Dirichlet constraints on embedded finite element interfaces. In particular, we focus attention on problems where the underlying mesh is not explicitly “fitted” to the geometry of the interface. The residual-free bubble problem is derived for a simple case and extensions are discussed. We show that under certain conditions, stabilization only requires knowledge of the residual-free bubble on the interface. We then examine methods to approximate the residual-free bubble. A series of benchmark tests are used to demonstrate the accuracy and robustness of the method. Comparisons are made to Nitsche’s method employing an eigenvalue estimate for the global stability parameter. Particular emphasis is placed on the accuracy of flux evaluations on the interface. Finally, we employ the method to simulate an evolving interface problem motivated by resin transfer molding.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 197, Issues 45–48, 15 August 2008, Pages 3751–3759
نویسندگان
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