TY  - CHAP
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes
N2  - Isogeometric finite element analysis has become a powerful alternative to standard finite elements due to their flexibility in handling complex geometries. One major drawback of NURBS based isogeometric finite elements is their less effectiveness of local refinement. In this study, we present an alternative to NURBS based isogeometric finite elements that allow for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. We will demonstrate the efficiency of the proposed method by two numerical examples.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
U6  - http://dx.doi.org/10.1088/1757-899X/10/1/012238
ER  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Thoi, T.
A1  - Bordas, Stéphane Pierre Alain
T1  - A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates
JF  - Computational Mechanics
N2  - A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
SP  - 679
EP  - 701
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Thai-Hoang, C.
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
T1  - A smoothed finite element method for the static and free vibration analysis of shells
JF  - Journal of Civil Engineering and Architecture
N2  - A smoothed finite element method for the static and free vibration analysis of shells
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
SP  - 13
EP  - 25
ER  -