Study on Discrete Null-Field Equation Methods for Bounded Simply Connected Domains: Better Locations of Source Nodes by Li-Ping Zhang, Zi-Cai Li, Hung-Tsai Huang, Ming-Gong Lee, Alexander L. Kazakov

“…The thorough study of determining better locations of source nodes is also valid for the MFS and the discrete boundary integral equation method (DBIEM). The development of algorithms based on the NFE lags far behind that of the traditional boundary element method (BEM). …”
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USING MODERN INSTRUMENTAL METHODS FOR COFFEE IDENTIFICATION by E. I. Kuzmina, M. Y. Ganin, D. A. Sviridov, O. S. Egorova, A. A. Shilkin, D. R. Akbulatova

“…It was shown that the most widespread studies were aimed at analyzing the values of isotopic ratios of carbon (13C/12C), hydrogen (2H/1H), oxygen (18O/16O) and nitrogen (15N/14N) in compounds contained in coffee beans, which reflect the distribution of “light” and “heavy” isotopes during biological and geochemical processes within the boundaries of a particular region. The authors analyzed the works aimed at studying the qualitative and quantitative composition of trace elements and rare earth metals (Na, Mg, Al, Mn, Ga, Rb, Ba, Pb, Y, La, Ce, Pr, Sm, Nd, Eu, Dy, Gd and others), as well as the research of the values of isotopic ratios (87Sr/86Sr) in product samples and soils of the studied region. …”
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Implementation of the spectral element discretization of the nonstationary velocity–vorticity–pressure Stokes formulation by Nejmeddine Chorfi, Henda Ouertani

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Acoustic analysis of a three-dimensional cylindrical shell model under electromagnetic vibration by Yanming Xu, Jiachen Wang, Sen Yang, Sen Yang, Guang Lei, Guang Lei, Kuanyao Zhao

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An Improved Integral Response Deformation Method for Seismic Response Analysis of Underground Structures Considering Far-Field Effects by Xin Bao, Shiwei Wang, Boyang Zhu, Dongyang Wang

“…In the seismic analysis of underground structures, the traditional integral response displacement method may misestimate far-field constraint effects because of the empirical placement of cutoff boundaries, leading to inaccuracies and a significant increase in computational costs. …”
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An efficient numerical method for determining trapped modes in acoustic waveguides by R.Z. Dautov

“…An efficient numerical method for determining all trapped modes of the Helmholtz equation based on the finite element method and exact nonlocal boundary conditions is proposed. …”
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Development of second-order three-node triangular element with drilling and strain degrees of freedom by Koshi KIMURA, Yasuyuki KANDA

“…GNTri3-2nd was formulated by applying an approximation of the generalized finite element method and a second-order Taylor expansion. …”
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Variational Multiscale Element Free Galerkin Method Coupled with Low-Pass Filter for Burgers’ Equation with Small Diffusion by Ping Zhang, Xiaohua Zhang, Laizhong Song

“…Variational multiscale element free Galerkin (VMEFG) method is applied to Burgers’ equation. …”
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Element-Free Galerkin Method Based on Block-Pulse Wavelets Integration for Solving Fourth-Order Obstacle Problem by Muhammad Azam, Khalid Parvez, Muhammad Omair

“…We introduce improved element-free Galerkin method based on block pulse wavelet integration for numerical approximations to the solution of a system of fourth-order boundary-value problems associated with obstacle, unilateral, and contact problems. …”
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STATIC ANALYSIS AND FREE VIBRATION ANALYSIS OF THE PYRAMIDAL LATTICE SANDWICH STRUCTURE BASED ON LAYERWISE/SOLID-ELEMENTS METHOD by QIAN RuoLi, GUO QiaoRong, WANG RuiPeng, LI DingHe

“…The layerwise/solid element method（ LW/SE） was used to study the static and free vibration problems of lattice sandwich structure under different boundary conditions. …”
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Dynamic analysis of stepped composite cylindrical shells surrounded by Pasternak elastic foundations based on the continuous element method by Le Thi Bich Nam, Nguyen Manh Cuong, Thinh Ich Tran, Le Quang Vinh

“… This research presents a continuous element model for solving vibration problems of stepped composite cylindrical shells surrounded by Pasternak foundations with various boundary conditions. …”
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Research on the Calculation Method for the Contact Stress of Wind Turbine Main Shaft Bearings Based on Finite Element Analysis by Yi Zou, Wenlei Sun, Hongwei Wang, Tiantian Xu, Bingkai Wang

“…Few methodologies exist for calculating the contact stress of main shaft bearings. We propose a method for calculating the contact stress of main shaft bearings in wind turbines; by simulating alternating loads that affect the turbine’s lifespan with a probability of 99%, analyzing the operational characteristics of the bearings under these loads using the roller slice method, and establishing a load–displacement model, this model serves as the boundary condition for contact stress simulation. …”
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Biomechanical Analysis and Solution Suggestions of Screw Replacement Scenarios in Femoral Neck Fracture Surgeries: Finite Element Method by Yılmaz Güvercin, Murat Yaylacı, Ayberk Dizdar, Mehmet Emin Özdemir, Sevil Ay, Ecren Uzun Yaylacı, Umitcan Karahasanoğlu, Hüseyin Uygun, Gökhan Peker

“…This study aims to examine the possible consequences and solution suggestions of changing screws during surgery for various reasons in FNF surgical treatment from a biomechanical perspective. Method FNF and treatment materials were analyzed biomechanically using a package program based on the finite element method (FEM). …”
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Study of the Stress State of Solid Cylinders with Inhomogeneous Structure Under Various Boundary Conditions at the Ends by Oleksandr Ya. Grygorenko, Liliia S. Rozhok, Nataliia P. Boreiko, Lesia V. Kharytonova

“…An analysis of the stress state of the solid cylinders depending on the variant of the change of elastic characteristics of the material and the different boundary conditions is carried out. It is shown that the greatest influence of the law of change of Young's modulus on the stress state of cylinders is observed for circumferential stresses on the outer surface in the average length section for both methods of the ends fixing. …”

Macroelement Analysis in T-Patches Using Lagrange Polynomials by Christopher Provatidis, Sascha Eisenträger

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Continuous element for vibration analysis of thick shells of revolution by Nguyen Manh Cuong, Tran Ich Thinh

“… This paper presents a new numerical method: Continous Element Method (CEM) for vibration analysis of thick shells of revolution taking into account the shear deflection effects. …”
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Finite Element Analysis of Post-Buckling Failure in Stiffened Panels: A Comparative Approach by Jakiya Sultana, Gyula Varga

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From Lagrange to Bernstein: Generalized Transfinite Elements with Arbitrary Nodes by Christopher Provatidis

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Error analysis of Crank–Nicolson-FEM for Fitzhugh–Nagumo system with Robin boundary conditions by S. Dawe, M.S. Daoussa Haggar, L.M. Kemfouet Tsopze, M. Mbehou

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Reconstructing the Magnetic Field in an Arbitrary Domain via Data-Driven Bayesian Methods and Numerical Simulations by Georgios E. Pavlou, Vasiliki Pavlidou, Vagelis Harmandaris

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