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On solving singular interface problems using the enriched partition-of-unity finite element methods

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : On solving singular interface problems using the enriched partition-of-unity finite element methods
นักวิจัย : Lee, Chi King , Liu, X. , Fan, Sau Cheong
คำค้น : DRNTU::Engineering::Civil engineering::Structures and design
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2546
อ้างอิง : Lee, C. K., Liu, X., & Fan, S. C. (2003). On solving singular interface problems using the enriched partition-of-unity finite element methods. Engineering Computations, 20(8), 998-1022. , 0264-4401 , http://hdl.handle.net/10220/19229 , http://dx.doi.org/10.1108/02644400310502991
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Engineering computations
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

It has been well recognized that interface problems often contain strong singularities which make conventional numerical approaches such as uniform h- or p-version of finite element methods inefficient. In this paper, the partition-of-unity finite element method (PUFEM) is applied to obtain solution for interface problems with severe singularities. In the present approach, asymptotical expansions of the analytical solutions near the interface singularities are employed to enhance the accuracy of the solution. Three different enrichment schemes for interface problems are presented, and their performances are studied. Compared to other numerical approaches such as h-p version of finite element method, the main advantages of the present method include (i) easy and simple formulation, (ii) highly flexible enrichment configurations, (iii) no special treatment needed for numerical integration and boundary conditions and (iv) highly effective in terms of computational efficiency. Numerical examples are included to illustrate the robustness and performance of the three schemes in conjunction with uniform h- or p-refinements. It shows that the present PUFEM formulations can significantly improve the accuracy of solution. Very often, improved convergence rate is obtained through enrichment in conjunction with p-refinement.

บรรณานุกรม :
Lee, Chi King , Liu, X. , Fan, Sau Cheong . (2546). On solving singular interface problems using the enriched partition-of-unity finite element methods.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Lee, Chi King , Liu, X. , Fan, Sau Cheong . 2546. "On solving singular interface problems using the enriched partition-of-unity finite element methods".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Lee, Chi King , Liu, X. , Fan, Sau Cheong . "On solving singular interface problems using the enriched partition-of-unity finite element methods."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2546. Print.
Lee, Chi King , Liu, X. , Fan, Sau Cheong . On solving singular interface problems using the enriched partition-of-unity finite element methods. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2546.