کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6930460 867538 2016 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quadrature rules for finite element approximations of 1D nonlocal problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Quadrature rules for finite element approximations of 1D nonlocal problems
چکیده انگلیسی
It is well known that calculations of the entries of the stiffness matrix in the finite element approximations of nonlocal diffusion and mechanics models are often very time-consuming due to the double integration process over the domain and the singularities of the nonlocal kernel functions. In this paper, we propose some effective and accurate quadrature rules for computing these double integrals for one-dimensional nonlocal problems; in particular, for problems with highly singular kernels, the corresponding inner integrals can be first evaluated exactly in our method, and the outer one then will be approximated by some popular quadrature rules. With these quadrature rules, the assembly of the stiffness matrix in the finite element method for the nonlocal problems becomes similar to that for the classical partial differential equations and is thus quite efficient.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 310, 1 April 2016, Pages 213-236
نویسندگان
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