An isogeometric collocation method using superconvergent points
By Cosmin Anitescu, Yue Jia, Yongjie Jessica Zhang, Timon Rabczuk. 2015
134 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/b14ff8d9e13519437cc7c205a9dda600a81cb442
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Stéphane P.A. Bordas
- Timon Rabczuk
- Cosmin Anitescu
- Laura De Lorenzis
- Hung Nguyen-Xuan
- Vinh Phu Nguyen
- Hector Gomez
- Xiaoying Zhuang
In Computational Theory and Mathematics
- Stéphane P.A. Bordas
- Timon Rabczuk
- Laura De Lorenzis
- Hector Gomez
- Cosmin Anitescu
- Vinh Phu Nguyen
- Bharath Narayanan
- Martin L. Dunn
In Numerical Analysis
- Timon Rabczuk
- Stéphane P.A. Bordas
- Laura De Lorenzis
- Hector Gomez
- Cosmin Anitescu
- Martin L. Dunn
- Vinh Phu Nguyen
- Xiaoying Zhuang
Citations in the corpus
- Isogeometric analysis: An overview and computer implementation aspects (2012, methodology): “Recently a collocation scheme based on superconvergence theory was proposed in [2], which has been observed to give more accurate results at the expense of more basis function evaluations.”
- The variational collocation method (2016, methodology): “Although the existence and the location of these points have not been widely studied for splines of maximum continuity, it is known that such points exist [47] and they have been recently used for an overdetermined (least-square) collocation scheme [48].”
- Reduced integration at superconvergent points in isogeometric analysis (2018, methodology): “Therefore a least-squares collocation method was proposed in [22] to solve the overdetermined system of equations obtained by writing the collocated strong form at all points.”
- An isogeometric collocation method for frictionless contact of Cosserat rods (2017, background): “The optimal choice of the collocation points is an aspect on which very recent advances have been reported [17, 18].”