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The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

Numerical mathematics(Theory,Methods and Applications) 2022年第2期15卷 484-509页

作者： Di Li Zhiyuan Sun Fengru Wang Jerry Zhijian Yang School of Mathematics and Statistics Wuhan UniversityWuhan 430072P.R.China Institute of Applied Physics and ComputationalMathematics Beijing 100094P.R.China Computational Science Hubei Key Laboratory Wuhan UniversityWuhan 430072P.R.China

The discontinuous Galerkin method by divergence-free patch reconstruction is proposed for Stokes eigenvalue *** utilizes the mixed finite element *** patch reconstruction technique constructs two categories of approximation ***,the local divergence-free space is employed to discretize the velocity space,and the pressure space is approximated by standard reconstruction space *** from the divergence-free constraint;the identical element patch serves two approximation spaces while using the element pair Pm+1/*** optimal error estimate is derived under the inf-sup condition *** examples are carried out to validate the inf-sup test and the theoretical results.

关键词： Stokes eigenvalue problems divergence-free patch reconstruction discontinuous Galerkin mixed finite element

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Inverted pin beams for robust propagation through atmospheric turbulence

Inverted pin beams for robust propagation through atmospheri...

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CLEO: science and Innovations in CLEO 2024, CLEO: S and I 2024 - Part of Conference on Lasers and Electro-Optics

作者： Droulias, Sotiris Loulakis, Michalis Papazoglou, Dimitris G. Tzortzakis, Stelios Chen, Zhigang Efremidis, Nikolaos K. Institute of Applied and Computational Mathematics Foundation for Research and Technology - Hellas Crete Heraklion70013 Greece Department of Digital Systems University of Piraeus Piraeus18534 Greece Institute of Electronic Structure and Laser Foundation for Research and Technology - Hellas P.O. Box 1527 Crete Heraklion71110 Greece Department of Materials Science and Technology University of Crete Crete Heraklion700 13 Greece MOE Key Laboratory of Weak-Light Nonlinear Photonics TEDA Applied Physics Institute School of Physics Nankai University Tianjin300457 China Collaborative Innovation Center of Extreme Optics Shanxi University Shanxi Taiyuan030006 China Department of Applied Mathematics University of Crete Heraklion71409 Greece

We introduce a new class of beams the "inverted pin beams". We show that in atmospheric turbulence inverted pin beams outperform (have reduced scintillations) other classes of beams in moderate to strong flu...

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N-Doped rGO-Like Carbon Prepared from Coconut Shell:Structure and Specific Capacitance

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Journal of Renewable Materials 2023年第4期11卷 1823-1833页

作者： Imam Khambali Budhi Priyanto Retno Asih Malik Anjelh Baqiya Muhammad Mahyiddin Ramli Nurul Huda Osman Sarayut Tunmee Hideki Nakajima Triwikantoro Mochamad Zainuri Darminto Department of Physics Faculty of Science and Data AnalyticsInstitut Teknologi Sepuluh NopemberSurabaya60111Indonesia Department of Electrical Engineering Faculty of EngineeringUniversity of Muhammadiyah MalangMalang65144Indonesia Geopolymer&Green Technology Centre of Excellence Universiti Malaysia PerlisArauPerlis02600Malaysia Applied Electromagnetic Laboratory 1 Department of PhysicsFaculty of ScienceUniversiti Putra MalaysiaSelangor43400Malaysia Synchrotron Light Research Institute(SLRI) Nakhon Ratchasima3000Thailand

An rGO−like carbon compound has been synthesized from biomass,i.e.,old coconut shell,by a carbonization process followed by heating at 400°C for 5 *** nitrogen doping was achieved by adding the urea(CH4N2O)and stirring at 70°C for 14 *** morphology and structure of the rGO-like carbon were investigated by electron microscopies and Raman *** presence of C-N functional groups was analyzed by Fourier transform infrared and synchrotron X-ray photoemission spectroscopy,while the particle and the specific capacitance were measured by particle sizer and cyclic *** highest specific capacitance of 72.78 F/g is achieved by the sample with 20%urea,having the smallest particles size and the largest surface *** corresponding sample has shown to be constituted by the appropriate amount of C–N pyrrolic and pyridinic defects.

关键词： N-doped rGO−like carbon coconut shell specific capacitance

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Optimal Second-Order Rates for Quantum Soft Covering and Privacy Amplification

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IEEE Transactions on Information Theory 2024年第7期70卷 5077-5091页

作者： Shen, Yu-Chen Gao, Li Cheng, Hao-Chung National Taiwan University Department of Electrical Engineering Taipei10617 Taiwan University of Houston Department of Mathematics HoustonTX77204 United States Graduate Institute of Communication Engineering Department of Mathematics Institute of Applied Mathematical Sciences Center for Quantum Science and Engineering National Taiwan University Department of Electrical Engineering Taipei10617 Taiwan Physics Division National Center for Theoretical Sciences Taipei10617 Taiwan Quantum Computing Center New Taipei City23678 Taiwan

We study quantum soft covering and privacy amplification against quantum side information. The former task aims to approximate a quantum state by sampling from a prior distribution and querying a quantum channel. The latter task aims to extract uniform and independent randomness against quantum adversaries. For both tasks, we use trace distance to measure the closeness between the processed state and the ideal target state. We show that the minimal amount of samples for achieving an \varepsilon -covering is given by the (1-\varepsilon ) -hypothesis testing information (with additional logarithmic additive terms), while the maximal extractable randomness for an \varepsilon -secret extractor is characterized by the conditional (1-\varepsilon ) -hypothesis testing entropy. When performing independent and identical repetitions of the tasks, our one-shot characterizations lead to tight asymptotic expansions of the above-mentioned operational quantities. We establish their second-order rates given by the quantum mutual information variance and the quantum conditional information variance, respectively. Moreover, our results extend to the moderate deviation regime, which are the optimal asymptotic rates when the trace distances vanish at sub-exponential speed. Our proof technique is direct analysis of trace distance without smoothing. © 1963-2012 IEEE.

关键词： Hash functions

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Inverted pin beams for robust propagation through atmospheric turbulence

Inverted pin beams for robust propagation through atmospheri...

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2024 Conference on Lasers and Electro-Optics, CLEO 2024

ISBN: (纸本)9781957171395

关键词： Laser beams

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Intepretative Deep Learning using Domain Adaptation for Fluorescence Spectroscopy

arXiv

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arXiv 2024年

作者： Michelucci, Umberto Venturini, Francesca Artificial Intelligence Research and Development TOELT LLC Duebendorf Switzerland Computer Science Department Lucerne University of Applied Sciences and Arts Rotkreuz Switzerland Institute of Applied Mathematics and Physics Zurich University of Applied Sciences Winterthur Switzerland

Fluorescence spectroscopy is a fundamental tool in life sciences and chemistry, widely used for applications such as environmental monitoring, food quality control, and biomedical diagnostics. However, analysis of spectroscopic data with deep learning, in particular of fluorescence excitation-emission matrices (EEMs), presents significant challenges due mainly to the typically small and sparse datasets available. Furthermore, the analysis of EEMs is difficult due to their high dimensionality and overlapping spectral features. This study proposes a new approach that exploits domain adaptation with pretrained vision models, alongside a novel interpretability algorithm to address these challenges. Thanks to specialised feature engineering of the neural networks described in this work, we are now able to provide deeper and meaningful insights into the physico-chemical processes underlying the data. The proposed approach is demonstrated through the analysis of the oxidation process in extra virgin olive oil (EVOO), showing its effectiveness in predicting quality indicators and identifying relevant spectral bands. This work describes significantly innovative results in the use of deep learning for spectroscopy, transforming it from a black box into a tool for understanding complex biological and chemical processes. © 2024, CC BY-NC-ND.

关键词： Fluorescence spectroscopy

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Charge transfer and excitation processes in low energy collisions of He ions with Li atoms

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Research in Astronomy and Astrophysics 2021年第8期21卷 275-284页

作者： Xiao-Xia Wang Kun Wang Yi-Geng Peng Chun-Hua Liu Ling Liu Yong Wu Heinz-Peter Liebermann Robert J.Buenker Yi-Zhi Qu College of Material Sciences and Optoelectronic Technology University of Chinese Academy of SciencesBeijing 100049China Institute of Environmental Science Shanxi UniversityTaiyuan 030006China Department of Applied Physics Nanjing University of Science and TechnologyNanjing 210094China School of Physics Southeast UniversityNanjing 210094China Data Center for High Energy Density Physics Institute of Applied Physics and Computational MathematicsBeijing 100088China Fachbereich C-Mathematik und Naturwissenschaften Bergische Universitat WuppertalD-42097 WuppertalGermany

Electron capture between solar wind ions and neutral species has contributed to the understanding of X-ray production from solar system *** charge transfer and excitation processes in solar wind ions of He^(+)(1 s) colliding with Li(1 s^(2)2 s) atoms are studied by utilizing the full quantum-mechanical molecular-orbital close-coupling(QMOCC) method with impact energies of 0.003-2 keV *** of cross sections from single-and multi-configurational calculations for a selfconsistent field(SCF and MCSCF) process are carried *** show that the dominant reaction channels are He(1 s2 l ^(1,3) L)+Li^(+)(1 s^(2) ^(1) S).Good consistency is found among present total and state-selective charge transfer and excitation cross sections with other theoretical and experimental data in the same energy *** to the differences between coupling matrix elements in high-energy states,the charge transfer cross sections calculated from SCF and MCSCF split slightly as E> 0.4 keV *** Stueckelberg oscillations for charge transfer appear in the present *** addition,the differences of cross sections for electron excitation to Li(ls^(2)2 p) in the singlet/triplet molecular states with He+(1 s) are much smaller than those of charge transfer processes because of the similar energy gaps from Li(ls^(2)2 p) to the ground state in singlet/triplet states in the large R region.

关键词： Sun:solar wind ISM:molecules ISM:kinematics and dynamics molecular processes

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Negative result about the construction of genuinely entangled subspaces from unextendible product bases

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Physical Review A 2022年第1期106卷 012442-012442页

作者： Maciej Demianowicz Institute of Physics and Applied Computer Science Faculty of Applied Physics and Mathematics Gdańsk University of Technology Narutowicza 11/12 Gdańsk 80-233 Poland

Unextendible product bases (UPBs) provide a versatile tool with various applications across different areas of quantum information theory. Their comprehensive characterization is thus of great importance and has been a subject of vital interest for over two decades now. An open question asks about the existence of UPBs, which are genuinely unextendible, i.e., they are not extendible even with biproduct vectors. In other words, the problem is to verify whether there exist genuinely entangled subspaces (GESs), subspaces composed solely of genuinely multiparty entangled states, complementary to UPBs. We solve this problem in the negative for many sizes of UPBs in different multipartite scenarios. In particular, in the all-important case of equal local dimensions, we show that there are always forbidden cardinalities for such UPBs, including the minimal ones corresponding to GESs of the maximal dimensions.

关键词： Nonlocality Quantum entanglement Quantum information theory

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A MCDM-based framework for selection of photovoltaic cell technology using novel information measure under Pythagorean fuzzy environment

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International Journal of Information Technology (Singapore) 2023年第8期15卷 4233-4242页

作者： Suman Sonia Jasrotia, Rohit Singh, Sunil Pratap Department of Mathematics School of Basic and Applied Sciences Maharaja Agrasen University Himachal Pradesh Baddi India Yogananda School of AI Computers and Data Sciences Shoolini University Himachal Pradesh Solan India School of Physics and Materials Science Shoolini University Himachal Pradesh Solan India Bharati Vidyapeeth’s Institute of Computer Applications and Management New Delhi India

With the drastic reduction in natural resource reserves, renewable energy alternatives have emerged as a clean source of energy. Photovoltaic technology (PV) is the rapidly emerging renewable energy technology because it has the capacity to directly convert the sunlight into electricity, and it paves the way for a low-carbon world. In general, the selection of a suitable PV technology, out of five accessible PV technologies, is considered as a complex multiple-criteria decision making (MCDM) problem, which encompasses the appropriate evaluation of technologies on various criteria, and decision maker’s (DMs) judgements. In current study, firstly, we integrate the Pythagorean Fuzzy (PF) information measure with the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) to a modified novel MCDM-based approach. Then, using a case study of PV technology selection, the feasibility, efficacy, and practicability of the proposed approach are evaluated through information measure under Pythagorean Fuzzy Set (PFS). Furthermore, a comparative study has been provided to demonstrate the novelty and originality of our proposed approach. The developed MCDM-based approach gives sustainable choices to both technology selection as well as government policy supporters for the creation of low carbon society. © 2023, The Author(s), under exclusive licence to Bharati Vidyapeeth's institute of Computer Applications and Management.

关键词： Information measure Low carbon society creation Multiple-criteria decision making Photovoltaic technology selection Pythagorean fuzzy set

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Emerging single-atom nanozymes for catalytic biomedical uses

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Nano Research 2023年第12期16卷 13056-13076页

作者： Shuangfei Cai Wei Zhang Rong Yang CAS Key Laboratory for Biomedical Effects of Nanomaterials and Nanosafety Center of Materials Science and Optoelectronics EngineeringCAS Center for Excellence in NanoscienceNational Center for Nanoscience and TechnologyUniversity of Chinese Academy of SciencesBeijing 100190China Sino-Danish College Sino-Danish Center for Education and ResearchUniversity of Chinese Academy of SciencesBeijing 100049China Institute of Applied Physics and Computational Mathematics Beijing 100088China

The past four years have witnessed booming progress in single-atom nanozymes(SANs),one of the newest generations of nanozymes with atomically dispersed metal sites for catalytic biomedical *** show distinct advantages over their nanoparticle-based counterparts,such as well-defined electronic/geometric structures and complete atomic utilization efficiency,thus offering opportunities to develop advanced nanozymes for practical *** atomically dispersed active centers in SANs could also facilitate the precise regulation of catalytic performance,while probing structure–activity relationship for in-depth understanding of *** this review,we first introduce the synthetic approaches,surface engineering,and characterization techniques of ***,we discuss the enzyme-like properties of SANs,including some strategies for boosting their catalytic ***,we present their biomedical applications,ranging from biosensors,antibacterial uses,antioxidants,to ***,the challenges and opportunities of SANs are prospected.

关键词： single atom metal nanozyme enzyme-like catalysis biomedical

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