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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