An Improved Interpolating Element-Free Galerkin Method Based on Nonsingular Weight Functions

المؤلفون المشاركون

Sun, F. X.
Cheng, Y. M.
Liu, C.

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-13، 13ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-03-02

دولة النشر

مصر

عدد الصفحات

13

التخصصات الرئيسية

هندسة مدنية

الملخص EN

Based on the moving least-squares (MLS) approximation, an improved interpolating moving least-squares (IIMLS) method based on nonsingular weight functions is presented in this paper.

Then combining the IIMLS method and the Galerkin weak form, an improved interpolating element-free Galerkin (IIEFG) method is presented for two-dimensional potential problems.

In the IIMLS method, the shape function of the IIMLS method satisfies the property of Kronecker δ function, and there is no difficulty caused by singularity of the weight function.

Then in the IIEFG method presented in this paper, the essential boundary conditions are applied naturally and directly.

Moreover, the number of unknown coefficients in the trial function of the IIMLS method is less than that of the MLS approximation; then under the same node distribution, the IIEFG method has higher computational precision than element-free Galerkin (EFG) method and interpolating element-free Galerkin (IEFG) method.

Four selected numerical examples are presented to show the advantages of the IIMLS and IIEFG methods.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Sun, F. X.& Liu, C.& Cheng, Y. M.. 2014. An Improved Interpolating Element-Free Galerkin Method Based on Nonsingular Weight Functions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-463490

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Sun, F. X.…[et al.]. An Improved Interpolating Element-Free Galerkin Method Based on Nonsingular Weight Functions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-463490

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Sun, F. X.& Liu, C.& Cheng, Y. M.. An Improved Interpolating Element-Free Galerkin Method Based on Nonsingular Weight Functions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-463490

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-463490