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Numerical Solutions to the Robin Inverse Problem with Nonnegativity Constraints
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作者 Weifu Fang fu-rong lin 《Journal of Applied Mathematics and Physics》 2022年第6期2015-2025,共11页
We present iterative numerical methods for solving the inverse problem of recovering the nonnegative Robin coefficient from partial boundary measurement of the solution to the Laplace equation. Based on the boundary i... We present iterative numerical methods for solving the inverse problem of recovering the nonnegative Robin coefficient from partial boundary measurement of the solution to the Laplace equation. Based on the boundary integral equation formulation of the problem, nonnegativity constraints in the form of a penalty term are incorporated conveniently into least-squares iteration schemes for solving the inverse problem. Numerical implementation and examples are presented to illustrate the effectiveness of this strategy in improving recovery results. 展开更多
关键词 Robin Inverse Problem Ill-Posed Problem Laplace Equation Boundary Inte-gral Equation Nonnegativity Constraint Penalty Method
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Dynamic color-tunable ultra-long room temperature phosphorescence polymers with photo-chromism and water-stimuli response for multilevel anti-counterfeiting 被引量:1
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作者 Xiao Ma Tian-Jiao Ye +9 位作者 Han-Jiang Yang Guang-Kun ling Danfeng Wang Jia-Shu Li Peiyang Gu Liang-Jin Xu Tian-Lu Sheng fu-rong lin Run-Fu Shen Qichun Zhang 《Aggregate》 EI CAS 2024年第5期320-330,共11页
Developing dynamic color-tunable ultra-long room temperature phosphorescence(URTP)polymers with afterglow of over 1 s,photo-chromism,and multi-stimuli response for practical anti-counterfeiting and information securit... Developing dynamic color-tunable ultra-long room temperature phosphorescence(URTP)polymers with afterglow of over 1 s,photo-chromism,and multi-stimuli response for practical anti-counterfeiting and information security applications is attractive but very challenging.Herein,by doping multicolor phosphorescence pyri-dinium bromide L block or viologen-based photo-chromic V block into polyvinyl alcohol matrixes,the water-stimuli-responsive color-tunable URTP polymerfilms with afterglow of up to 8 s and the reversible viologen-based photochromic polymerfilms have been developed.More significantly,a series of dynamic color-tunable URTP polymerfilms with ultra-long afterglow of over 6 s,photo-chromism,and water-stimuli response have been successfully exploited by integrating L and V blocks into one polymer system.Mechanistic investigations have revealed that their photo-chromism mainly comes from the photo-generated viologen free radicals.Furthermore,their dynamic multilevel anti-counterfeiting applications have been demonstrated.These results pave the way to develop smarter multifunctional URTP materials for anti-counterfeiting and optical sensing. 展开更多
关键词 ANTI-COUNTERFEITING PHOSPHORESCENCE PHOTOCHROMISM stimuli response ultralong viologen
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