@inproceedings{NguyenThanhNguyenXuanBordasetal., author = {Nguyen-Thanh, Nhon and Nguyen-Xuan, Hung and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon}, title = {Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes}, doi = {10.1088/1757-899X/10/1/012238}, abstract = {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.}, subject = {Angewandte Mathematik}, language = {en} } @article{NguyenXuanRabczukNguyenThanhetal., author = {Nguyen-Xuan, Hung and Rabczuk, Timon and Nguyen-Thanh, Nhon and Nguyen-Thoi, T. and Bordas, St{\´e}phane Pierre Alain}, title = {A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates}, series = {Computational Mechanics}, journal = {Computational Mechanics}, pages = {679 -- 701}, abstract = {A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates}, subject = {Angewandte Mathematik}, language = {en} } @article{NguyenThanhThaiHoangNguyenXuanetal., author = {Nguyen-Thanh, Nhon and Thai-Hoang, C. and Nguyen-Xuan, Hung and Rabczuk, Timon}, title = {A smoothed finite element method for the static and free vibration analysis of shells}, series = {Journal of Civil Engineering and Architecture}, journal = {Journal of Civil Engineering and Architecture}, pages = {13 -- 25}, abstract = {A smoothed finite element method for the static and free vibration analysis of shells}, subject = {Angewandte Mathematik}, language = {en} }