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学者姓名：崔明
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摘要 ：
A modified weak Galerkin (MWG) finite element method is developed for solving the biharmonic equation.This method uses the same finite element space as that of the discontinuous Galerkin method,the space of discontinuous polynomials on polytopal meshes.But its formulation is simple,symmetric,positive definite,and parameter independent,without any of six inter-element face-integral terms in the formulation of the discontinuous Galerkin method.Optimal order error estimates in a discrete H2 norm are established for the corresponding finite element solutions.Error estimates in the L2 norm are also derived with a sub-optimal order of convergence for the lowest-order element and an optimal order of convergence for all high-order of elements.The numerical results are presented to confirm the theory of convergence.
关键词 ：
Weak Laplacian Weak Laplacian Biharmonic equations Biharmonic equations Polytopal meshes Polytopal meshes Finite element methods Finite element methods
引用：
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| GB/T 7714 | Ming Cui , Xiu Ye , Shangyou Zhang . A Modified Weak Galerkin Finite Element Method for the Biharmonic Equation on Polytopal Meshes [J]. | 应用数学与计算数学学报 , 2021 , 3 (1) : 91-105 . |
| MLA | Ming Cui 等. "A Modified Weak Galerkin Finite Element Method for the Biharmonic Equation on Polytopal Meshes" . | 应用数学与计算数学学报 3 . 1 (2021) : 91-105 . |
| APA | Ming Cui , Xiu Ye , Shangyou Zhang . A Modified Weak Galerkin Finite Element Method for the Biharmonic Equation on Polytopal Meshes . | 应用数学与计算数学学报 , 2021 , 3 (1) , 91-105 . |
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摘要 ：
Aerosol particles have an important effect on changing of climate and human health, where aerosols scatter and absorb the incoming solar radiation, and thus decrease the precipitation efficiency of warm clouds and can cause an indirect radiative forcing associated with changes in cloud properties. Meanwhile, it has also been recognized that the particles of aerosols in the sub-micrometer size range can be inhaled and thus pose certain health hazards. In this paper we analyze the finite volume method based on linear interpolation and Hermite interpolation combined with the method of characteristics for the nonlinear aerosol dynamic equations on time and particle size, which involve the advection process, condensation process and the nonlinear coagulation process. Numerical experiments for the multiple log-normal aerosol distributions are further given to confirm the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
关键词 ：
Aerosol dynamic equation Aerosol dynamic equation Error estimate Error estimate Finite volume method Finite volume method The method of characteristics The method of characteristics
引用：
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| GB/T 7714 | Cui, Ming , Li, Fangxia , Liang, Dong . High-order characteristic-finite volume methods for aerosol dynamic equations [J]. | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , 2020 , 370 . |
| MLA | Cui, Ming 等. "High-order characteristic-finite volume methods for aerosol dynamic equations" . | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 370 (2020) . |
| APA | Cui, Ming , Li, Fangxia , Liang, Dong . High-order characteristic-finite volume methods for aerosol dynamic equations . | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS , 2020 , 370 . |
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摘要 ：
For the biharmonic equation or this singularly-perturbed biharmonic equation, lower order nonconforming finite elements are usually used. It is difficult to construct high order C1 conforming, or nonconforming elements, especially in 3D. A family of any quadratic or higher order weak Galerkin finite elements is constructed on 2D polygonal grids and 3D polyhedral grids for solving the singularly-perturbed biharmonic equation. The optimal order of convergence, up to any order the smooth solution can have, is proved for this method, in a discrete H-2 norm. Under a full elliptic regularity H-4 assumption, the L-2 convergence achieves the optimal order as well, in 2D and 3D. Numerical tests are presented verifying the theory.
关键词 ：
Biharmonic equation Biharmonic equation Finite element Finite element Polygonal grid Polygonal grid Polyhedral grid Polyhedral grid Singular perturbation Singular perturbation Weak Galerkin Weak Galerkin
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| GB/T 7714 | Cui, Ming , Zhang, Shangyou . On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation [J]. | JOURNAL OF SCIENTIFIC COMPUTING , 2020 , 82 (1) . |
| MLA | Cui, Ming 等. "On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation" . | JOURNAL OF SCIENTIFIC COMPUTING 82 . 1 (2020) . |
| APA | Cui, Ming , Zhang, Shangyou . On the Uniform Convergence of the Weak Galerkin Finite Element Method for a Singularly-Perturbed Biharmonic Equation . | JOURNAL OF SCIENTIFIC COMPUTING , 2020 , 82 (1) . |
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摘要 ：
CH3NH3PbI3 thin film was deposited by a dual-source evaporation system under high vacuum (∼10−4 Pa). The crystallographic phase was analyzed by X-ray diffraction and confirmed as the perovskite structure. The optical properties of the thin film have been investigated in the spectral range 300-1800 nm. The analysis of the absorption coefficient (α) reveals direct allowed transition with corresponding energy 1.58 eV. The surface morphology of the film was characterized by atomic force microscopy (AFM). The observed features exhibited by CH3NH3PbI3 give a vital chance to explore its application for various optoelectronic devices. To see its other potential utility, Al/CH3NH3PbI3 /ITO Schottky diodes were fabricated. Based on the analyzing the I-V measurement for the Al/CH3NH3PbI3/ ITO device, the basic device parameters such as barrier height and ideality factor were determined. At the low-voltage region, the current conduction in the device is ohmic type. The charge transport phenomenon appears to be space charge limited current (SCLC) at higher-voltage regions. © 2016 Trans Tech Publications, Switzerland.
关键词 ：
Annealing; CH3NH3PbI3; Perovskite; Schottky diode Annealing; CH3NH3PbI3; Perovskite; Schottky diode
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| GB/T 7714 | Chen, L. , Deng, J.X. , Gao, H.L. et al. Optical characteristic and application of CH3NH3Pbi3 thin film in Schottky diode [C] . 2016 : 440-445 . |
| MLA | Chen, L. et al. "Optical characteristic and application of CH3NH3Pbi3 thin film in Schottky diode" . (2016) : 440-445 . |
| APA | Chen, L. , Deng, J.X. , Gao, H.L. , Yang, Q.Q. , Kong, L. , Cui, M. et al. Optical characteristic and application of CH3NH3Pbi3 thin film in Schottky diode . (2016) : 440-445 . |
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摘要 ：
Aerosol modeling is very important to study the behavior of aerosol dynamics in atmospheric environment. In this paper we consider numerical methods for the nonlinear aerosol dynamic equations on time and particle size. The finite volume element methods based on the linear interpolation and Hermite interpolation are provided to approximate the aerosol dynamic equation where the condensation and removal processes are considered. Numerical examples are provided to show the efficiency of these numerical methods.
关键词 ：
Aerosol dynamic equation Aerosol dynamic equation condensation condensation finite volume method finite volume method removal removal
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| GB/T 7714 | Cui, Ming , Su, Yanxin , Liang, Dong . High-Order Finite Volume Methods for Aerosol Dynamic Equations [J]. | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS , 2016 , 8 (2) : 213-235 . |
| MLA | Cui, Ming et al. "High-Order Finite Volume Methods for Aerosol Dynamic Equations" . | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 8 . 2 (2016) : 213-235 . |
| APA | Cui, Ming , Su, Yanxin , Liang, Dong . High-Order Finite Volume Methods for Aerosol Dynamic Equations . | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS , 2016 , 8 (2) , 213-235 . |
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摘要 ：
In this paper, simulated were the reflectance spectrum and the quantum well gain of vertical cavity surface emitting lasers (VCSEL). And high quality epitaxial wafers of 980 nm VCSEL were grown by metal-organic chemical vapor deposition (MOCVD). A kind of intracavity oxide restricted VCSEL device with the oxide aperture of 14 μm was fabricated in later process. The indexes of the device are obtained as: the threshold current of 3.3 mA, the threshold voltage of 1.8 V, the slope efficiency of 0.387 W/A, and the output optical power of 5 mW under DC 22.8 mA at room temperature. ©, 2015, China National Publishing Industry Trading Corporation. All right reserved.
关键词 ：
MOCVD; Oxide restricted device; Quantum well; VCSEL MOCVD; Oxide restricted device; Quantum well; VCSEL
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| GB/T 7714 | Cui, M. , Han, J. , Deng, J. et al. Epitaxial growth of 980 nm vertical cavity surface emitting laser [J]. | Semiconductor Optoelectronics , 2015 , 36 (1) : 38-41 . |
| MLA | Cui, M. et al. "Epitaxial growth of 980 nm vertical cavity surface emitting laser" . | Semiconductor Optoelectronics 36 . 1 (2015) : 38-41 . |
| APA | Cui, M. , Han, J. , Deng, J. , Li, J. , Xing, Y. , Chen, X. et al. Epitaxial growth of 980 nm vertical cavity surface emitting laser . | Semiconductor Optoelectronics , 2015 , 36 (1) , 38-41 . |
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摘要 ：
Adjoint-free calculation method is proposed to compute conditional nonlinear optimal perturbations (CNOP) combined with initial perturbations and model parameter perturbations. The new approach avoids the use of adjoint technique in the optimization process. CNOPs respectively generated by ensemble-based and adjoint-based methods are compared based on a simple theoretical model.
关键词 ：
adjoint method adjoint method conditional nonlinear optimal perturbation (CNOP) conditional nonlinear optimal perturbation (CNOP) ensemble-based method ensemble-based method
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| GB/T 7714 | Cui Ming . Adjoint-free calculation method for conditional nonlinear optimal perturbations [J]. | SCIENCE CHINA-MATHEMATICS , 2015 , 58 (7) : 1567-1576 . |
| MLA | Cui Ming . "Adjoint-free calculation method for conditional nonlinear optimal perturbations" . | SCIENCE CHINA-MATHEMATICS 58 . 7 (2015) : 1567-1576 . |
| APA | Cui Ming . Adjoint-free calculation method for conditional nonlinear optimal perturbations . | SCIENCE CHINA-MATHEMATICS , 2015 , 58 (7) , 1567-1576 . |
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摘要 ：
模拟了垂直腔面发射激光器(VCSEL)的反射谱和量子阱增益谱,采用金属有机物化学气相沉积设备外延生长了980nm的垂直腔面发射激光器,制作了氧化孔径为14μm的内腔式氧化限制型VCSEL器件,其阈值电流为3.3mA,阈值电压为1.8V,斜率效率为0.387W/A,室温直流电流为22.8mA时,输出光功率为5mW。
关键词 ：
VCSEL VCSEL 氧化限制型 氧化限制型 量子阱 量子阱 金属有机物化学气相沉积 金属有机物化学气相沉积
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| GB/T 7714 | 崔明 , 韩军 , 邓军 et al. 980nm垂直腔面发射激光器的外延生长 [J]. | 半导体光电 , 2015 , 36 (01) : 38-41 . |
| MLA | 崔明 et al. "980nm垂直腔面发射激光器的外延生长" . | 半导体光电 36 . 01 (2015) : 38-41 . |
| APA | 崔明 , 韩军 , 邓军 , 李建军 , 邢艳辉 , 陈翔 et al. 980nm垂直腔面发射激光器的外延生长 . | 半导体光电 , 2015 , 36 (01) , 38-41 . |
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摘要 ：
An efficient time second-order characteristic finite element method for solving the nonlinear multi-component aerosol dynamic equations is developed. While a highly accurate characteristic method is used to treat the advection multi-component condensation/evaporation process, a time high-order extrapolation along the characteristics is applied to approximate the nonlinear multi-component coagulation terms. The scheme is of second order accuracy in time for the multi-component problems. We study the theoretical analysis and obtain the time second-order error estimate of the scheme. Numerical experiments are further given to confirm the theoretical results. The dynamic behaviours of multi-component aerosol distributions are also simulated for the multi-component aerosol problems of aerosol water, black carbon and sulfate components with different tri-modal log-normal initial distributions.
关键词 ：
characteristic extrapolation characteristic extrapolation characteristic method characteristic method condensation/evaporation condensation/evaporation error estimate error estimate Multi-component aerosol dynamic equations Multi-component aerosol dynamic equations nonlinear coagulation nonlinear coagulation
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| GB/T 7714 | Fu, Kai , Liang, Dong , Wang, Wenqia et al. THE TIME SECOND-ORDER CHARACTERISTIC FEM FOR NONLINEAR MULTICOMPONENT AEROSOL DYNAMIC EQUATIONS IN ENVIRONMENT [J]. | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING , 2015 , 12 (2) : 211-229 . |
| MLA | Fu, Kai et al. "THE TIME SECOND-ORDER CHARACTERISTIC FEM FOR NONLINEAR MULTICOMPONENT AEROSOL DYNAMIC EQUATIONS IN ENVIRONMENT" . | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 12 . 2 (2015) : 211-229 . |
| APA | Fu, Kai , Liang, Dong , Wang, Wenqia , Cui, Ming . THE TIME SECOND-ORDER CHARACTERISTIC FEM FOR NONLINEAR MULTICOMPONENT AEROSOL DYNAMIC EQUATIONS IN ENVIRONMENT . | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING , 2015 , 12 (2) , 211-229 . |
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摘要 ：
In order to meet the need of solid state white light illumination and variable wavelength light source used in optical communication, based on the analysis of the property of the reverse biased tunnel junction, we design monolithic-integrated dual-wavelength light emitting diodes which are connected by a reverse biased tunnel junction. By metal organic chemical vapor deposition (MOCVD) on a GaAs substrate in a single step, we grew epitaxially this device that can emit two kinds of wavelengths of light simultaneously. This kind of monolithic integration device consists of two active regions, an AlGaInP multi-quantum well active region and a GaInP multi-quantum well active region, which are connected by a reverse biased tunnel junction. Through the process, we fabricated the LEDs. At 20 mA Dc injection current, the devices can emit wavelengths of 626 nm and 639 nm at the same time, the output light intensity is 127 mcd, and the forward voltage is 4.17 V. The test results are compared with those of the traditional one-active-region light emitting diodes. The output light intensity of dual-wavelength LEDs is higher than that of traditional LEDs. The forward voltage of dual-wavelength LEDs is not high.
关键词 ：
Vapors Vapors Light sources Light sources Electronic equipment testing Electronic equipment testing Tunnel junctions Tunnel junctions Metallorganic chemical vapor deposition Metallorganic chemical vapor deposition Wavelength Wavelength Monolithic integrated circuits Monolithic integrated circuits Light emitting diodes Light emitting diodes Optical communication Optical communication
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| GB/T 7714 | Han, Jun , Cui, Ming , Li, Jian-Jun et al. AlGaInP dual-wavelength light emitting diodes with MOCVD growth [J]. | Journal of Optoelectronics Laser , 2014 , 25 (6) : 1035-1038 . |
| MLA | Han, Jun et al. "AlGaInP dual-wavelength light emitting diodes with MOCVD growth" . | Journal of Optoelectronics Laser 25 . 6 (2014) : 1035-1038 . |
| APA | Han, Jun , Cui, Ming , Li, Jian-Jun , Deng, Jun , Xing, Yan-Hui . AlGaInP dual-wavelength light emitting diodes with MOCVD growth . | Journal of Optoelectronics Laser , 2014 , 25 (6) , 1035-1038 . |
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