Modeling and Simulation of Attraction–Repulsion Chemotaxis Mechanism System with Competing Signal by Anandan P. Aswathi, Amar Debbouche, Yadhavan Karuppusamy, Lingeshwaran Shangerganesh

“…Additionally, we conduct computational studies of the model using the finite element method. The accuracy of our numerical implementation is evaluated through error analysis and numerical convergence, followed by various numerical simulations in a two-dimensional domain to illustrate the dynamics of the system and validate the theoretical findings.…”
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Investigation of natural convection heat transfer in MHD fluid within a hexagonal cavity with circular obstacles by Mohammad Dehghan Afifi, Ali Jahangiri, Mohammad Ameri

“…The finite element method is employed to solve the governing partial differential equations of the system. …”
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Modeling Point Source Potentials in Horizontally Layered Soils by Rooney R. A. Coelho, Gabriel de Castro Biage, Jose Roberto Cardoso

“…Once these functions are established, the electric potential is computed using a Bessel-type integral, efficiently evaluated via the Ogata-Sugihara quadrature method, which has demonstrated high accuracy for this class of problems. …”
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Experimentally validated transient enthalpy-based FEM model for PCM-integrated building materials with advanced thermal and energy efficiency insights by Ajitanshu Vedrtnam, Kishor Kalauni, Nelson Soares

“…This study presents a high-fidelity finite element method (FEM) framework for modelling the thermal performance of phase change material (PCM)-integrated building materials, validated against experimental data. …”
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Stress strain state of double-layered ferrocement shells under the fire condition by A. V. Zhurtov, T. A. Khezhev, G. N. Khadzhishalapov, A. A. Kardanov, M. A. Shogentsukov

“…The solution is carried out by the finite element method in combination with the Newton-Raphson method. …”
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The Basic Formulas Derivation and Degradation Verification of the 3-D Dynamic Elastoplastic TD-BEM by Weidong Lei, Bingzhen Wu, Hongjun Li

“…Although classical time-domain boundary element methods (TD-BEMs) effectively reduce computational dimensionality through dimension reduction and time-domain fundamental solutions, they remain underdeveloped for 3-D elastoplastic analysis. …”
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The crack propagation behaviors, microstructure and mechanical properties of T-welded joints for TIGW with crystal plasticity model and XFEM by Minghui Pan, Wentao Chen, Aolin Sun, Xiantong Li, Xiangfei Li, Wenhe Liao, Wencheng Tang

“…., the propagation behaviors and mechanical properties of welded joints with porosity and micro crack are deeply investigated using a multiscale method. In this work, a crack nucleation and propagation model based on crystal plasticity theory, combined with the extended finite element method (XFEM), is established for the T-welded joint. …”
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High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients by A.A. Sobolev, M.R. Timerbaev

“…The paper deals with the construction of high-order accuracy finite element schemes for the fourth-order ordinary differential equation with degenerate coefficients on the boundary. …”
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SOURCES OF QUATERNARY POTASSIC VOLCANIC ROCKS FROM WUDALIANCHI, CHINA: CONTROL BY TRANSTENSION AT THE LITHOSPHERE–ASTHENOSPHERE BOUNDARY LAYER by S. V. Rasskazov, I. S. Chuvashova, Yi-min Sun, Chen Yang, Zhenhua Xie, T. A. Yasnygina, E. V. Saranina, Zhenxing Fang

“…In this paper, we present arguments in favor of the transtensional origin of the lithosphere-derived melting anomaly along the Wudalianchi volcanic zone, which are based on the study of components in the rocks sampled from the volcanic field of the same name.Analytical methods. Trace elements were determined by ICP–MS using a mass-spectrometer Agilent 7500ce and isotopes using a mass-spectrometer Finnigan MAT 262. …”
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Wall losses in straight ducts with non-circular cross sections: a scaling rule of identical losses for wooden flue organ pipes by Rucz Péter, Fontestad Elena Esteve, Angster Judit, Miklós András

“…As an application of the theory, a revised scaling method for wooden flue organ pipes with rectangular cross sections is elaborated. …”
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METHODS OF XS DATA PREPARATION FOR GEOMETRY WITH FUEL DUMMY by Pavel Suk

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NUMERICAL METHOD FOR ESTIMATION OF TENSILE LOAD IN TIE-RODS by Kseniia Riabova, Luca Collini, Rinaldo Garziera

“…The algorithm used for calculation involves a solution of a functional minimization problem, where the tensile load and the stiffness of elastic foundation at the edges are used as optimization parameters and the error function, which describes the deviation between the frequencies measured and those calculated using finite element method, is minimized. Qualitative analysis of the results showed a significant reduction of the error compared to models with different boundary conditions. …”
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Analysis of spatial vibrations of piezoceramic eccentric cylindrical shells interacting with an annular fluid layer by Sergei Lekomtsev, Sergey Bochkarev, Alexander Senin

“…The solution of the problem is found in the framework of a three-dimensional formulation using the finite element method. The shells are made of the piezoelectric material polarized in the radial direction. …”
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Contact Strength Analysis of Azimuth Gear Transmission System of Two-axis Tracking Device by Li Shiqing, Peng Youduo, Chen Yu

“…The results are verified by the finite element method. This study can provide a certain reference and basis for the gear design and dynamic analysis of gear transmission system of two-axis tracking mechanism.…”
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Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ult... by Eugeniia Feklistova, Artur Mugatarov, Valeriy Wildemann

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Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ult... by Eugeniia Feklistova, Artur Mugatarov, Valeriy Wildemann

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Galerkin’s Spectral Method in the Analysis of Antenna Wall Operation by Marian Wnuk

“…By applying the Galerkin spectral method, the problem was reduced to a system of algebraic equations for the coefficients of current distribution on metal elements of the antenna grid, considering the distribution of the electromagnetic field on Floquet harmonics. …”
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AERODYNAMICS OF INDUSTRIAL BUILDINGS by V. Petrov, D. Gоncharenko, O. Zhdanov

“…Taking into account the method of finite elements, a grid was built on the layout of the research object. …”
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Forced vibration assessment of moderately thick carbon nanotube-reinforced composite plates by Reza Setayesh, Shahabeddin Hatami, Mojtaba Gorji Azandariani, Mohammad Zamani Nejad

“…The spectral component method offers significant advantages for high-frequency dynamic problems, as it requires fewer fine elements to solve boundary conditions. …”
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Numerical and Geometrical Evaluation of Steel Plates with Transverse Hat-Stiffeners Under Bending by Mariana Alvarenga Alves, Eduarda Machado Rodrigues, Luiz Alberto Oliveira Rocha, Elizaldo Domingues dos Santos, William Ramires Almeida, Liércio André Isoldi

“…The structure is analyzed under a uniformly distributed load perpendicular to the plate, with simply supported boundary conditions. The constructal design method combined with the exhaustive search technique is employed to optimize the geometry. …”
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