Finite element approximation of large bending isometries

Finite element approximation of large bending isometries
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大弯曲等距的有限元近似

DOI:
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发表时间:
2013
影响因子:
2.1
通讯作者:
S. Bartels
S. Bartels
中科院分区:
数学2区
文献类型:
--
作者:
S. Bartels

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设计并分析了一种以最小弯曲能量近似大等轴变形的有限元格式。证明了该格式数值解的迭代算法的稳定点收敛性和能量递减性。数值实验说明了迭代的性能,并表明,离散化导致大的垂直载荷和压缩边界条件的精确近似。
A finite element scheme for the approximation of large isometric deformations with minimal bending energy is devised and analyzed. The convergence to a stationary point and energy decreasing property of an iterative algorithm for the numerical solution of the scheme is proved. Numerical experiments illustrate the performance of the iteration and show that the discretization leads to accurate approximations for large vertical loads and compressive boundary conditions.
DOI: 10.1007/s00440-012-0464-x
发表时间: 2011-03
影响因子: 2
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L. Arguin;Anton Bovier;N. Kistler
通讯作者: L. Arguin;Anton Bovier;N. Kistler
DOI: 10.1016/j.jcp.2010.05.014
发表时间: 2010-09-01
影响因子: 4.1
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