Nonlinearly Preconditioned Newton's Methods for PDEs
文献类型：会议论文
| 作者 | Cai XC(蔡小川) |
| 出版日期 | 2017 |
| 会议日期 | 2017 |
| 会议地点 | 西安 |
| 英文摘要 | Inexact Newton is a popular technique for solving large sparse nonlinear system of equations. In this talk, we discuss some recently developed versions of preconditioned inexact Newton methods which are more robust than the classical version when the nonlinearities in the system are not balanced. The preconditioners are constructed using a combination of some domain decomposition methods and nonlinear elimination methods. We show numerically that the preconditioned inexact Newton methods perform well for solving some nonlinearly difficult problems, such as the hyperelasticity equation which is used to model the wall of human arteries. |
| 语种 | 英语 |
| 源URL | [http://ir.siat.ac.cn:8080/handle/172644/12695]  |
| 专题 | 深圳先进技术研究院_数字所 |
| 作者单位 | 2017 |
| 推荐引用方式 GB/T 7714 | Cai XC. Nonlinearly Preconditioned Newton's Methods for PDEs[C]. 见:. 西安. 2017. |
入库方式： OAI收割
来源：深圳先进技术研究院
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