TY  - JOUR
A1  - Simpson, R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Trevelyan, J.
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - An Isogeometric Boundary Element Method for elastostatic analysis
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.cma.2011.08.008
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
T1  - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
JF  - Finite Elements in Analysis & Design
N2  - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 519
EP  - 535
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 1892
EP  - 1908
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  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
T1  - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
JF  - Journal of Computational and Applied Mathematics
N2  - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2009
SP  - 2112
EP  - 2135
ER  -