当前位置: X-MOL 学术arXiv.cs.NA › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Regularization of systems of nonlinear ill-posed equations: II. Applications
arXiv - CS - Numerical Analysis Pub Date : 2020-11-19 , DOI: arxiv-2011.09913
M. Haltmeier, R. Kowar, A. Leitao, O. Scherzer

In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem related to thermoacoustic tomography, a nonlinear inverse problem for semiconductor equations, and a nonlinear problem in Schlieren tomography. Each application is considered in the framework established in the previous part. The novel algorithms show robustness, stability, computational efficiency and high accuracy.

中文翻译:

非线性不适定方程组的正则化:II.应用

在第一部分中,我们介绍了改进的 Landweber-Kaczmarz 方法并建立了收敛分析。在目前的工作中,我们研究了三个应用:与热声层析成像相关的反问题、半导体方程的非线性反问题和纹影层析成像中的非线性问题。每个应用程序都在上一部分建立的框架中考虑。新算法显示出鲁棒性、稳定性、计算效率和高精度。
更新日期:2020-11-20
down
wechat
bug