Modeling and Simulation of the Hydrogenation of α-Methylstyrene on Catalytically Active Metal Foams as Tubular Reactor Packing by Farzad Lali, Felix-Aron Pahner, Rüdiger Lange

“…The method of orthogonal collocation on finite elements was applied. For isothermal and polytropic processes and steady state conditions, axial profiles for concentration, temperature, fluid velocities, pressure, and liquid holdup were computed and the conversions for various gas and liquid flow rates were validated with experimental results. …”
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Circular thin plates buckling analysis with HRPIM method by Baid Sokayna, Hilali Youssef, Mesmoudi Saïd, Bourihane Oussama

“…The critical buckling loads have been calculated for different values of h/R ratio and compared with Finite Elements Method to illustrate the efficiency, robustness and accuracy of this approach across various boundary conditions.…”
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On the analysis of modes in a closed electromagnetic waveguide by Halla, Martin, Monk, Peter

“…They can also be used to construct generalized Dirichlet-to-Neumann maps that provide artificial boundary conditions for truncating a computational domain when discretizing the field by finite elements. The modes of a waveguide arise as eigenfunctions of a non-symmetric eigenvalue problem, and the eigenvalues determine the propagation (or decay) of the modes along the waveguide. …”
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Design and Control of Nonlinear Mechanical Systems for Minimum Time by J.B. Cardoso, P.P. Moita, A.J. Valido

“…The dynamic response and its sensitivity are discretized via space-time finite elements, and may be integrated either by at-once integration or step-by-step. …”
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Unstructured Grids and the Multigroup Neutron Diffusion Equation by German Theler

“…A simple two-dimensional homogeneous circular reactor is solved using a coarse unstructured grid in order to illustrate some basic differences between the finite volumes and the finite elements method. Also, the classic 2D IAEA PWR benchmark problem is solved for eighty combinations of symmetries, meshing algorithms, basic geometric entities, discretization schemes, and characteristic grid lengths, giving even more insight into the peculiarities that arise when solving the neutron diffusion equation using unstructured grids.…”
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Nonstationary Random Vibration Performance of Train-Bridge Coupling System with Vertical Track Irregularity by Xiaozhen Li, Yan Zhu, Zhibin Jin

“…A multibody mass-spring-damper model is employed to represent a moving railway car and the bridge system is simulated by finite elements. By introducing the pseudo excitation algorithm into the train-bridge interaction dynamic system, expressions of the mean value, standard deviation, and power spectral density of the nonstationary random dynamic responses of bridge and vehicles are derived. …”
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Degradation of Interfacial Bond for FRPs Near-Surface Mounted to Concrete Under Fatigue: An Analytical Approach by Xun Wang, Lijuan Cheng

“…The bond region was discretized into finite elements to include the effect of bond degradation to different extents, and a closed-form solution was derived by virtue of appropriate boundary conditions in each fatigue cycle. …”
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Design and Simulation of an Antenna-Coupled Microbolometer at 30 THz by Angel Colin, Eduardo Pérez-Tijerina, Francisco Solis-Pomar

“…The device has been simulated by means of the commercial electromagnetic software (HFSS), which is based on the finite elements method. The predicted values for the figures of merit of this microbolometer are as follows: τ=5.8 ns, Rv=5.3×103 V/W, and D⁎ = 2.07×1010 cmHz/W, respectively.…”
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Simulation Analysis of Air Flow and Turbulence Statistics in a Rib Grit Roughened Duct by I. I. Vogiatzis, A. C. Denizopoulou, G. K. Ntinas, V. P. Fragos

“…In this paper we investigate the two-dimensional, turbulent, unsteady flow around rectangular ribs of variable aspect ratios by directly solving the transient Navier-Stokes and continuity equations using the finite elements method. Flow characteristics and several aspects of turbulent flow are presented and discussed including velocity components and statistics of turbulence. …”
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Control of local stress in semiconductor silicon structures by S. F. Sianko, V. A. Zelenin

“…This method is based on consequent measurements of intensity of Makyoh image elements of the structure along the chosen direction followed by calculation of micro-geometrical profile and curvature radius.The estimation of residual stress of topological elements Si–SiO system was carried out by means of calculation of interference pictures obtained in a film-substrate gap after separating of film edge from substrate along open window perimeter.Analytical expressions relating semiconductor structure image characteristics with their deformation were developed by means of finite elements method. The expressions allow determining of local residual stress of chosen area of the structure. …”
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Nonlinear Vibrations of Thin-Walled Composite Frames by Ahmed K. Noor, Jeanne M. Peters

“…The flanges and webs of the frames are modeled by using geometrically nonlinear two-dimensional shell and plate finite elements. The computational procedure can be conveniently divided into three distinct steps. …”
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Influence of Boundary Conditions on the Simulation of a Diamond-Type Lattice Structure: A Preliminary Study by Patrick Terriault, Vladimir Brailovski

“…Because these structures comprise a large number of ordered unit cells, their design using conventional modeling approaches, such as finite elements, becomes a real challenge. A homogenization technique, in which the lattice structure is simulated as a fully dense volume having equivalent material properties, can then be employed. …”
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ESTIMATION OF TOPOGRAPHIC DEFECTS DIMENSIONS OF SEMICONDUCTOR SILICON STRUCTURES by S. F. Sianko, V. A. Zelenin

“…These structures have been considered to be image finite elements and within this range the curvature radius has been assumed to be constant. …”
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Coupled Dynamics of Vehicle-Bridge Interaction System Using High Efficiency Method by Lu Sun, Xingzhuang Zhao

“…This paper studies the accuracy and efficiency of discretizing the beam in space as lumped masses using the flexibility method and as finite elements using the stiffness method. Computational complexity analysis is carried out along with a numerical case study to compare the accuracy and efficiency of both methods against the analytical solutions. …”
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The Theory and Applications of Hölder Widths by Man Lu, Peixin Ye

“…The fact that Hölder widths are smaller than the known widths implies that the nonlinear approximation represented by deep neural networks can provide a better approximation order than other existing approximation methods, such as adaptive finite elements and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi></mrow></semantics></math></inline-formula>-term wavelet approximation. …”
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