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Numerical solution of nonlinear elasticity problems with Lavrentiev phenomenon
Bai, Yu ; Li, Zhiping
2007
关键词truncation method Lavrentiev phenomenon polyconvex convergence nonlinear elasticity DETECTING SINGULAR MINIMIZERS ELEMENT REMOVAL METHOD VARIATIONAL-PROBLEMS CALCULUS
英文摘要A convergence theory is established for a truncation method in solving polyconvex elasticity problems involving the Lavrentiev phenomenon. Numerical results on a recent example by Foss et al., which has a polyconvex integrand and admits continuous singular minimizers, not only verify our convergence theorems but also provide a sharper estimate on the upper bound of a perturbation parameter for the existence of the Lavrentiev phenomenon in the example.; Mathematics, Applied; SCI(E); 0; ARTICLE; 10; 1619-1640; 17
语种英语
出处SCI
出版者mathematical models methods in applied sciences
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/399022]  
专题数学科学学院
推荐引用方式
GB/T 7714
Bai, Yu,Li, Zhiping. Numerical solution of nonlinear elasticity problems with Lavrentiev phenomenon. 2007-01-01.
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