Mesh based construction of flat-top partition of unity functions
نویسندگان
چکیده
A novel idea to construct flat-top partition of unity functions in a closed form on a general (structured or unstructured) finite element mesh is presented. An efficient and practical construction method of a flat-top partition of unity function is important in the generalized finite element method (GFEM). Details on how to construct flat-top partition of unity functions on a provided mesh are given. The generalized finite element approximation with the use of the new flat-top partition of unity function is presented with various numerical examples that demonstrate the effectiveness of proposed flat-top partition of unity functions. 2013 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 219 شماره
صفحات -
تاریخ انتشار 2013