Study on Atomization Mechanism of Oil Injection Lubrication for Rolling Bearing Based on Stratified Method by Feng Wei, Hongbin Liu, Yongyan Liu

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The Method of Calculation of the Evolution of Thermal and Energy Characteristics of the Accelerated Hydration Process of Concrete Products by A. M. Niyakovskii, V. N. Romaniuk, A. N. Chichko, Yu. V. Yatskevich

“…The principles of cellular-automatic modeling of energy characteristics of concrete heat treatment process were used in the development of the method. The mathematical apparatus used in the method is based on the finite-difference three-dimensional heat equation, which allows taking into account, due to the system of boundary and initial conditions, the spatial dimensions of the concrete product, the spatial arrangement of the formwork, the spatial distribution of heating elements and other design features of the accelerated hydration system. …”
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A Dynamic Coefficient Matrix Method for the Free Vibration of Thin Rectangular Isotropic Plates by Supun Jayasinghe, Seyed M. Hashemi

“…Using the proposed quasi-exact solution, a Dynamic Coefficient Matrix (DCM) method is formed and used to investigate the free lateral vibration of a rectangular thin plate, subjected to various boundary conditions. …”
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A method to retrieve mixed-phase cloud vertical structure from airborne lidar by E. Crosbie, E. Crosbie, J. W. Hair, A. R. Nehrir, R. A. Ferrare, C. Hostetler, T. Shingler, D. Harper, M. Fenn, M. Fenn, J. Collins, J. Collins, R. Barton-Grimley, B. Collister, K. L. Thornhill, K. L. Thornhill, C. Voigt, C. Voigt, S. Kirschler, S. Kirschler, A. Sorooshian, A. Sorooshian

“…The method is based on the established use of depolarization to identify ice particles but incorporates a new method to separate the ice depolarization from the depolarization produced by multiple scattering in dense liquid clouds. …”
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Coupled FEM-DBEM method to assess crack growth in magnet system of Wendelstein 7-X by R. Citarella, M. Lepore, Joris Fellinger, Victor Bykov, Felix Schauer

“…In this paper the Dual Boundary Element Method (DBEM) is applied in a coupled FEM-DBEM approach to analyze the propagation of multiple cracks with different shapes. …”
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A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation by A. H. Bhrawy

“…A new spectral shifted Legendre Gauss-Lobatto collocation (SL-GL-C) method is developed and analyzed to solve a class of two-dimensional initial-boundary fractional diffusion equations with variable coefficients. …”
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General Formulas and Program Design for Manifold Method Based on Independent Covers Ⅰ:General Formulas by SU Hai-dong

“…By constructing approximate functions, it generates a “partitioned series solution” for partial differential equations. This method not only achieves the main functions of the finite element method (FEM) and other numerical techniques but also outperforms them in certain aspects, such as mesh generation flexibility and computational stability. …”
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On a Method for Calculating Bending and Shear Vibrations of a Porous Piezoelement in the Low-Frequency Region by A. N. Soloviev, V. A. Chebanenko, P. A. Oganesyan, E. I. Fomenko

“…Based on hypotheses about the distribution of deformations, mechanical stresses and electric potential, both problems were reduced to a system of ordinary differential equations and boundary conditions. Comparison with the results of calculations by the finite element method in the ACELAN package showed the adequacy of the proposed applied theory in the low-frequency region.Discussion and Conclusion. …”
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NUMERICAL SIMULATION OF ELECTRICAL IMPEDANCE TOMOGRAPHY PROBLEM AND STUDY OF APPROACH BASED ON FINITE VOLUME METHOD by Ye. S. Sherina, A. V. Starchenko

“…The objective function to be minimized is constructed of measured voltage and calculated boundary voltage on the electrodes. A classical modified Newton type iterative method and the stochastic differential evolution method are employed. …”
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A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid by H. B. Wen, Y. R. Yang, P. Li, Y. D. Li, Y. Huang

“…The natural frequencies, critical flow velocities, and vibration mode functions of such pipes with several typical boundary conditions are obtained and compared with the results predicted by Galerkin method and finite element method (FEM) and with other results archived. …”
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Adaptive Refinement of Segmented Object Contour Based on the Brightness of Neighboring Pixels Using the Ensemble Method by Vladyslav D. Koniukhov

“…Classical segmentation methods face significant challenges when segmenting X-ray images where there are objects with fuzzy boundaries. …”

Active Heat Method with Distribution Fiber Temperature Sensing for Suspension Location of Submarine Power Cable by ZHANG Weichao, ZHANG Li yong

“…The temperature distribution law of submarine cable surrounded by different media is simulated during active heat process using the finite element method in thermal field. An experimental system is constructed by arranging the multimode optical fiber and heating copper cable in a box mixed with sediment sand and water. …”
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Research on Crack Propagation of Deep Geologic Mass Disturbed by Excavation Based on Phase Field Method by Ningdong Chang, Jinan Wang, Fei Li

“…The results show that the crack finally produces a crack in the lower left and upper right directions of the square hole and continues to extend to the model boundary, which proves the feasibility of crack independent initiation and propagation by the phase field method. …”
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Assessment of bending solution of beam with arbitrary boundary conditions: an accurate comparison of various approaches by A. Ghannadiasl, S. Mortazavi

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Buckling analysis of axially functionally graded carbon nanotubes-reinforced columns using the meshless method by Hanie Elahihamezanlui, Majid Kazemi, Mohammad Hosein Ghadiri Rad

“…Since the MLPG method uses some scattered nodes through the domain and boundaries for discretization (rather than the meshing), the functionally graded (FG) variation of material properties can be conveniently modeled under the influence of reinforcing elements (CNTs). …”
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Simulation of a Radio Signal Scattered from a Rough Surface by the Method of Stationary Points by Andrey A. Monakov

“…At present, four categories of mathematical models are used for these purposes, with each corresponding to a particular group of methods for solving the scattering problem. These methods include those based on a rigorous solution of the electrodynamic equations (methods of moments, finite elements, finite differences); approximate methods for solving electrodynamic problems (methods of small perturbations, tangent plane (Kirchhoff method), two-scale model); those of statistical equivalents; and phenomenological models. …”
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Design of Trabecular Bone Mimicking Voronoi Lattice-Based Scaffolds and CFD Modelling of Non-Newtonian Power Law Blood Flow Behaviour by Haja-Sherief N. Musthafa, Jason Walker

“…Gradient Voronoi scaffolds of pore sizes (19.8 µm to 923 µm) similar to the structure of the trabecular bone were designed. A Finite Element Method-based computational fluid dynamics (CFD) simulation was performed on all designed Voronoi scaffolds to predict the pressure drops and permeability of non-Newtonian blood flow behaviour using the power law material model. …”
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Sensitivity and optimization study on heat transfer enhancement of MHD hybrid nanofluid radiative transient flow past a spinning surface with quadratic Boussinesq approximation and... by Thirupathi Thumma, Surender Ontela, Rupalaksmi Dharanikota

“…Employing the Finite Element Method (FEM) with the Galerkin weighted residual approach and linear approximation functions, the study explores the intricate interactions between these factors. …”
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Buckling Analysis of Functionally Graded Cylindrical Shells Under Mechanical and Thermal Loads by Dynamic Relaxation Method by M.E. Golmakani, M. Moravej, M. Sadeghian

“…In order to validate the present method, the results were compared with other papers and the Abaqus finite element results. …”
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Optimization of the rotor of a magnetoelectric synchronous machine with pole tips shaped as elliptical arcs by V. V. Kharlamov, Yu. V. Moskalev, A. Yu. Milyutin

“…Permissible ranges of variation for the variable values, which define the dimensions of the rotor's structural elements, are considered as segment boundaries within the dichotomy method for each coordinate axis. …”
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