L∞-error estimate for a system of elliptic quasivariational inequalities by M. Boulbrachene, M. Haiour, S. Saadi

“…Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).…”
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Evaluation of Seal Effects on the Stability of Rotating Fluid Machinery by T. Iwatsubo, B. C. Sheng

“…The stability of typical rotating fluid machinery such as single ahd multi-stage pumps is evaluated by using the finite element method. The individual contribution of the impellers, bearings and seals to the stability and the dynamic interactions of these fluid elements are examined. …”
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Mode Calculation and Testing of a Car Body in White by Ying Yang, Guangyao Zhao, Dongbo Ma, Xiaobin Xu

“…The dynamic parameters of a car body in white (BIW) are important during a new car developing. Based on the finite element method, the model of a BIW is developed in which the welding points are treated specially as a new element type and the vibration modes of it are calculated. …”
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Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition by Yong Cao, Yuchuan Chu, Xiaoming He, Mingzhen Wei

“…This paper proposes a domain decomposition method for the coupled stationary Navier-Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition in order to improve the efficiency of the finite element method. The physical interface conditions are directly utilized to construct the boundary conditions on the interface and then decouple the Navier-Stokes and Darcy equations. …”
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Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs by V. P. Saxena, J. S. Bindra

“…The region is divided into annular sub-regions and Ritz variational finite element method is applied along the radial direction, while for the angular direction, Fourier Series has been used due to uniformity in each annular part.…”
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Buckling and Vibration Performance of a Composite Laminated Plate with Elastic Boundaries Subjected to Local Thermal Loading by Yonggan Sun

“…The model is based on first-order shear deformation theory using the finite element method. The influence of boundary conditions, heating area, and heating location on buckling and vibrations of a composite laminated plate was investigated, and there were two stages in which the critical temperature increased sharply during the transition from free boundary to simply supported and rigid fixed boundaries. …”
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Controlling Terahertz Surface Plasmon Properties on a Periodically Structured Silicon Surface by Gagan Kumar

“…The results are confirmed independently through finite element method based numerical simulations and compared with theory. …”
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Analytic Model of Microcantilevers as Low Frequency Generator by Sandeep Arya, Saleem Khan, Parveen Lehana

“…Finite element method (FEM) based simulation has been carried out, and an analytic model of microcantilevers using piezoelectric excitations is proposed. …”
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A Numerical Solution to Fractional Diffusion Equation for Force-Free Case by O. Tasbozan, A. Esen, N. M. Yagmurlu, Y. Ucar

“…A collocation finite element method for solving fractional diffusion equation for force-free case is considered. …”
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Seismic Resistance and Displacement Mechanism of the Concrete Footing by Abdoullah Namdar, Yun Dong

“…A realistic seismic simulation of the concrete footing has been made by using finite element method (FEM) software called ABAQUS. The effect of concrete footing embedment in soil on concrete footing-soil foundation interaction has numerically been simulated for considering displacement, stress, strain, and seismic acceleration load response at the base of a concrete footing. …”
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Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method by Longgang Tian, Ziling Cheng

“…The overall structure which contains no crack is analyzed by the traditional finite element method (FEM), and the crack itself is analyzed using analytical solution or other numerical solutions which are effective and efficient for solving crack problems. …”
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Analysis of the crack-crack interaction effect initiated in aeronautical structures and repaired by composite patch by Nour Chafak Mohamed Ibrahim, Serier Boualem, Mechab Belad

“…In this work, we analyze three - dimensionally, by the finite element method, the performance of the repair of aeronautical structures damaged by cracking and repaired by patch of composite materials. …”
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Numerical study of delamination process of the CFRP composite by Eva Kormaníková, Kamila Kotrasova

“…The cohesive interface model, integrated into the Finite Element Method, was applied to determine the critical force away from the crack tip. …”
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Numerical Study of Plasmonic Efficiency of Gold Nanostripes for Molecule Detection by Thomas Grosges, Dominique Barchiesi

“…An optimization scheme, including an adaptive remeshing process with error estimator, is used to solve the problem through a finite element method. The variations of the electromagnetic field amplitude and the plasmonic active zones around nanostructures for molecule detection are studied in this paper taking into account the physical and geometrical parameters of the nanostripes. …”
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Efficient Model Order Reduction for the Dynamics of Nonlinear Multilayer Sheet Structures with Trial Vector Derivatives by Wolfgang Witteveen, Florian Pichler

“…Findings show that the result quality in terms of displacements and contact forces is comparable to the direct finite element method but the computational effort is extremely low due to the model order reduction. …”
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Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams by Ahmad Shahba, Reza Attarnejad, Shahin Hajilar

“…Structural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements. …”
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Kinetic Hydration Heat Modeling for High-Performance Concrete Containing Limestone Powder by Xiao-Yong Wang

“…Third, the temperature history and temperature distribution of hardening limestone blended concrete are calculated by combining hydration model with finite element method. The analysis results generally agree with experimental results of high-performance concrete with various mixing proportions.…”
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The Numerical Simulation Method of the Slot Crack Groups’ Effect Analysis for Solid Rocket Motor Grain by Tianpeng Li, Xiaonan Li, Zhaolong Xuan, Yu Guo

“…Based on the nearly incompressible viscoelastic finite element method, several cracks were preset in a critical location along with the dangerous point of the back slot. …”
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Thermal Analysis and Rigid-Flexible Coupling Dynamics of a Satellite with Membrane Antenna by Xiang Liu, Guoping Cai

“…The thermal analysis model of the membrane antenna structure is derived based on the finite element method by discretizing the structure into 1D and 2D thermal elements. …”
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A Mesoscale Approach for Concrete Block Masonry by Xu Yang, Mingming Jia, Bin Chi, Mingzhi Wang, Jianfeng Zheng

“…However, it is still difficult to analyze the mesomodel efficiently due to a large number of operating processes caused by the components’ nonlinear mechanical properties. An efficient finite-element-method-based mesoscale approach for concrete block masonry was introduced in this paper. …”
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