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Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 343, 页码: 324-339
Authors:  Pan, Qing;  Chen, Chong;  Xu, Guoliang
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Extended loop subdivision  Isogeometric analysis  Error estimates  Minimal surfaces  
Regularization of B-spline objects 期刊论文
COMPUTER AIDED GEOMETRIC DESIGN, 2011, 卷号: 28, 期号: 1, 页码: 38-49
Authors:  Xu, Guoliang;  Bajaj, Chandrajit
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Spline objects  Regularization  L(2)-gradient flow  Finite element method  
G(2) surface modeling using minimal mean-curvature-variation flow 期刊论文
COMPUTER-AIDED DESIGN, 2007, 卷号: 39, 期号: 5, 页码: 342-351
Authors:  Xu, Guoliang;  Zhang, Qin
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Euler-Lagrange equation  minimal mean-curvature-variation flow  energy functional  discretization  surface modeling  
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 219, 期号: 1, 页码: 322-390
Authors:  Wen, Xin
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shallow water equations  nozzle flow equations  discontinuous topography  well-balanced scheme  surface gradient method  shock capturing  
Minimal mean-curvature-variation surfaces and their applications in surface modeling 期刊论文
GEOMETRIC MODELING AND PROCESSING - GMP 2006, PROCEEDINGS, 2006, 卷号: 4077, 页码: 357-370
Authors:  Xu, Guoliang;  Zhang, Qin
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Euler-Lagrange equation  minimal mean-curvature-variation flow  energy functional  discretization  surface modeling