کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6918950 863037 2009 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity
چکیده انگلیسی
We propose a discontinuous-Galerkin-based immersed boundary method for elasticity problems. The resulting numerical scheme does not require boundary fitting meshes and avoids boundary locking by switching the elements intersected by the boundary to a discontinuous Galerkin approximation. Special emphasis is placed on the construction of a method that retains an optimal convergence rate in the presence of non-homogeneous essential and natural boundary conditions. The role of each one of the approximations introduced is illustrated by analyzing an analog problem in one spatial dimension. Finally, extensive two- and three-dimensional numerical experiments on linear and nonlinear elasticity problems verify that the proposed method leads to optimal convergence rates under combinations of essential and natural boundary conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 17–20, 15 April 2009, Pages 1513-1534
نویسندگان
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