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An automatic adaptive refinement procedure for the reproducing kernel particle method. Part I : stress recovery and a posteriori error estimation

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : An automatic adaptive refinement procedure for the reproducing kernel particle method. Part I : stress recovery and a posteriori error estimation
นักวิจัย : Lee, Chi King , Shuai, Y. Y.
คำค้น : DRNTU::Engineering::Civil engineering::Structures and design
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2549
อ้างอิง : Lee, C. K., & Shuai, Y. Y. (2007). An automatic adaptive refinement procedure for the reproducing kernel particle method. Part I: Stress recovery and a posteriori error estimation. Computational Mechanics, 40(3), 399-413. , http://hdl.handle.net/10220/19232 , http://dx.doi.org/10.1007/s00466-006-0140-z
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Computational mechanics
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

In this study, an adaptive refinement procedure using the reproducing kernel particle method (RKPM) for the solution of 2D elastostatic problems is suggested. This adaptive refinement procedure is based on the Zienkiewicz and Zhu (Z-Z) error estimator for the a posteriori error estimation and an adaptive finite point mesh generator for new point mesh generation. The presentation of the work is divided into two parts. In Part I, concentration will be paid on the stress recovery and the a posteriori error estimation processes for the RKPM. The proposed error estimator is different from most recovery type error estimators suggested previously in such a way that, rather than using the least squares fitting approach, the recovery stress field is constructed by an extraction function approach. Numerical studies using 2D benchmark boundary value problems indicated that the recovered stress field obtained is more accurate and converges at a higher rate than the RKPM stress field. In Part II of the study, concentration will be shifted to the development of an adaptive refinement algorithm for the RKPM.

บรรณานุกรม :
Lee, Chi King , Shuai, Y. Y. . (2549). An automatic adaptive refinement procedure for the reproducing kernel particle method. Part I : stress recovery and a posteriori error estimation.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Lee, Chi King , Shuai, Y. Y. . 2549. "An automatic adaptive refinement procedure for the reproducing kernel particle method. Part I : stress recovery and a posteriori error estimation".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Lee, Chi King , Shuai, Y. Y. . "An automatic adaptive refinement procedure for the reproducing kernel particle method. Part I : stress recovery and a posteriori error estimation."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2549. Print.
Lee, Chi King , Shuai, Y. Y. . An automatic adaptive refinement procedure for the reproducing kernel particle method. Part I : stress recovery and a posteriori error estimation. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2549.