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Artículos de revistas sobre el tema "Finite element method"

Autor: Grafiati

Publicado: 4 de junio de 2021

Última modificación: 25 de julio de 2025

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1

Amakobe James, Hagai. "Finite Difference Method Solution to Garlerkin's Finite Element Discretized Beam Equation." International Journal of Science and Research (IJSR) 10, no. 7 (2021): 635–38. https://doi.org/10.21275/sr21607193720.

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2

ICHIHASHI, Hidetomo, and Hitoshi FURUTA. "Finite Element Method." Journal of Japan Society for Fuzzy Theory and Systems 6, no. 2 (1994): 246–49. http://dx.doi.org/10.3156/jfuzzy.6.2_246.

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3

Oden, J. "Finite element method." Scholarpedia 5, no. 5 (2010): 9836. http://dx.doi.org/10.4249/scholarpedia.9836.

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4

Panzeca, T., F. Cucco, and S. Terravecchia. "Symmetric boundary element method versus finite element method." Computer Methods in Applied Mechanics and Engineering 191, no. 31 (2002): 3347–67. http://dx.doi.org/10.1016/s0045-7825(02)00239-6.

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5

Kulkarni, Sachin M., and Dr K. G. Vishwananth. "Analysis for FRP Composite Beams Using Finite Element Method." Bonfring International Journal of Man Machine Interface 4, Special Issue (2016): 192–95. http://dx.doi.org/10.9756/bijmmi.8181.

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6

BARBOSA, R., and J. GHABOUSSI. "DISCRETE FINITE ELEMENT METHOD." Engineering Computations 9, no. 2 (1992): 253–66. http://dx.doi.org/10.1108/eb023864.

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7

Desai,, CS, T. Kundu,, and Xiaoyan Lei,. "Introductory Finite Element Method." Applied Mechanics Reviews 55, no. 1 (2002): B2. http://dx.doi.org/10.1115/1.1445303.

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8

Kai-yuan, Yeh, and Ji Zhen-yi. "Exact finite element method." Applied Mathematics and Mechanics 11, no. 11 (1990): 1001–11. http://dx.doi.org/10.1007/bf02015684.

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9

Zhang, Lucy, Axel Gerstenberger, Xiaodong Wang, and Wing Kam Liu. "Immersed finite element method." Computer Methods in Applied Mechanics and Engineering 193, no. 21-22 (2004): 2051–67. http://dx.doi.org/10.1016/j.cma.2003.12.044.

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10

Fries, Thomas-Peter, Andreas Zilian, and Nicolas Moës. "Extended Finite Element Method." International Journal for Numerical Methods in Engineering 86, no. 4-5 (2011): 403. http://dx.doi.org/10.1002/nme.3191.

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11

Xu, Shu Feng, Huai Fa Ma, and Yong Fa Zhou. "Moving Grid Method for Simulating Crack Propagation." Applied Mechanics and Materials 405-408 (September 2013): 3173–77. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.3173.

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A moving grid nonlinear finite element method was used in this study to simulate crack propagation. The relevant elements were split along the direction of principal stress within the element and thus automatic optimization processing of local mesh was realized. We discussed the moving grid nonlinear finite element algorithm was proposed, compiled the corresponding script files based on the dedicated finite element language of Finite Element Program Generator (FEPG), and generate finite element source code programs according to the script files. Analyses show that the proposed moving grid fini

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12

Warsa, James S. "A Continuous Finite Element-Based, Discontinuous Finite Element Method forSNTransport." Nuclear Science and Engineering 160, no. 3 (2008): 385–400. http://dx.doi.org/10.13182/nse160-385tn.

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13

Ito, Yasuhisa, Hajime Igarashi, Kota Watanabe, Yosuke Iijima, and Kenji Kawano. "Non-conforming finite element method with tetrahedral elements." International Journal of Applied Electromagnetics and Mechanics 39, no. 1-4 (2012): 739–45. http://dx.doi.org/10.3233/jae-2012-1537.

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14

Yamada, T., and K. Tani. "Finite element time domain method using hexahedral elements." IEEE Transactions on Magnetics 33, no. 2 (1997): 1476–79. http://dx.doi.org/10.1109/20.582539.

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15

Matveev, Aleksandr. "Generating finite element method in constructing complex-shaped multigrid finite elements." EPJ Web of Conferences 221 (2019): 01029. http://dx.doi.org/10.1051/epjconf/201922101029.

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The calculations of three-dimensional composite bodies based on the finite element method with allowance for their structure and complex shape come down to constructing high-dimension discrete models. The dimension of discrete models can be effectively reduced by means of multigrid finite elements (MgFE). This paper proposes a generating finite element method for constructing two types of three-dimensional complex-shaped composite MgFE, which can be briefly described as follows. An MgFE domain of the first type is obtained by rotating a specified complex-shaped plane generating single-grid fin

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16

Cen, Song, Ming-Jue Zhou, and Yan Shang. "Shape-Free Finite Element Method: Another Way between Mesh and Mesh-Free Methods." Mathematical Problems in Engineering 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/491626.

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Performances of the conventional finite elements are closely related to the mesh quality. Once distorted elements are used, the accuracy of the numerical results may be very poor, or even the calculations have to stop due to various numerical problems. Recently, the author and his colleagues developed two kinds of finite element methods, named hybrid stress-function (HSF) and improved unsymmetric methods, respectively. The resulting plane element models possess excellent precision in both regular and severely distorted meshes and even perform very well under the situations in which other eleme

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17

В. В. Борисов and В. В. Сухов. "The method of synthesis of finite-element model of strengthened fuselage frames." MECHANICS OF GYROSCOPIC SYSTEMS, no. 26 (December 23, 2013): 80–90. http://dx.doi.org/10.20535/0203-377126201330677.

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One of the main problems, which solved during the design of transport category aircraft, is problem of analysis of the stress distribution in the strengthened fuselage frames structure. Existing integral methods of stress analysis does not allow for the mutual influence of the deformation of a large number of elements. The most effective method of solving the problem of analysis of deformations influence on the stress distribution of structure is finite element method, which is a universal method for analyzing stress distribution arbitrary constructions.This article describes the features of t

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18

Fan, S. C., S. M. Li, and G. Y. Yu. "Dynamic Fluid-Structure Interaction Analysis Using Boundary Finite Element Method–Finite Element Method." Journal of Applied Mechanics 72, no. 4 (2004): 591–98. http://dx.doi.org/10.1115/1.1940664.

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In this paper, the boundary finite element method (BFEM) is applied to dynamic fluid-structure interaction problems. The BFEM is employed to model the infinite fluid medium, while the structure is modeled by the finite element method (FEM). The relationship between the fluid pressure and the fluid velocity corresponding to the scattered wave is derived from the acoustic modeling. The BFEM is suitable for both finite and infinite domains, and it has advantages over other numerical methods. The resulting system of equations is symmetric and has no singularity problems. Two numerical examples are

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19

XING, YUFENG, BO LIU, and GUANG LIU. "A DIFFERENTIAL QUADRATURE FINITE ELEMENT METHOD." International Journal of Applied Mechanics 02, no. 01 (2010): 207–27. http://dx.doi.org/10.1142/s1758825110000470.

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This paper studies the differential quadrature finite element method (DQFEM) systematically, as a combination of differential quadrature method (DQM) and standard finite element method (FEM), and formulates one- to three-dimensional (1-D to 3-D) element matrices of DQFEM. It is shown that the mass matrices of C 0 finite element in DQFEM are diagonal, which can reduce the computational cost for dynamic problems. The Lagrange polynomials are used as the trial functions for both C 0 and C 1 differential quadrature finite elements (DQFE) with regular and/or irregular shapes, this unifies the selec

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20

Tenek, L. T. "A Beam Finite Element Based on the Explicit Finite Element Method." International Review of Civil Engineering (IRECE) 6, no. 5 (2015): 124. http://dx.doi.org/10.15866/irece.v6i5.7977.

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21

Zimmermann, Thomas. "The finite element method. Linear static and dynamic finite element analysis." Computer Methods in Applied Mechanics and Engineering 65, no. 2 (1987): 191. http://dx.doi.org/10.1016/0045-7825(87)90013-2.

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22

Kochnev, Valentin K. "Finite element method for atoms." Chemical Physics 548 (August 2021): 111197. http://dx.doi.org/10.1016/j.chemphys.2021.111197.

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23

Gao, Yu Jing, De Hua Wang, and Gui Ping Shi. "Meshless-Finite Element Coupling Method." Applied Mechanics and Materials 441 (December 2013): 754–57. http://dx.doi.org/10.4028/www.scientific.net/amm.441.754.

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We let the meshless method and the finite element method couple,so the meshless-finite element coupling method has the advantage. We based EFG - finite element coupling calculation principle and we drawn shape function of the coupling region, we obtained energy functional from weak variational equations and we find the numerical solution. EFGM-FE coupling method overcomes the simple use of meshless method to bring the boundary conditions and calculation intractable shortcomings of low efficiency. We found that this method is feasible and effective.

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24

Ma, Shuo, Muhao Chen, and Robert E. Skelton. "TsgFEM: Tensegrity Finite Element Method." Journal of Open Source Software 7, no. 75 (2022): 3390. http://dx.doi.org/10.21105/joss.03390.

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25

Raj, Jeenu, Faisal Tajir, and M. S. Kannan. "Finite Element Method in Orthodontics." Indian Journal of Public Health Research & Development 10, no. 12 (2019): 1080. http://dx.doi.org/10.37506/v10/i12/2019/ijphrd/192274.

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26

Wolf,, JP, and Long-Yuan Li,. "Scaled Boundary Finite Element Method." Applied Mechanics Reviews 57, no. 3 (2004): B14. http://dx.doi.org/10.1115/1.1760518.

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27

Rank, E., and R. Krause. "A multiscale finite-element method." Computers & Structures 64, no. 1-4 (1997): 139–44. http://dx.doi.org/10.1016/s0045-7949(96)00149-6.

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28

Nguyen, T. T., G. R. Liu, K. Y. Dai, and K. Y. Lam. "Selective smoothed finite element method." Tsinghua Science and Technology 12, no. 5 (2007): 497–508. http://dx.doi.org/10.1016/s1007-0214(07)70125-6.

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29

Logg, Anders. "Automating the Finite Element Method." Archives of Computational Methods in Engineering 14, no. 2 (2007): 93–138. http://dx.doi.org/10.1007/s11831-007-9003-9.

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30

Tolle, Kevin, and Nicole Marheineke. "Extended group finite element method." Applied Numerical Mathematics 162 (April 2021): 1–19. http://dx.doi.org/10.1016/j.apnum.2020.12.008.

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31

Tsamasphyros, G., and E. E. Theotokoglou. "The finite element alternating method." Engineering Fracture Mechanics 42, no. 2 (1992): 405–6. http://dx.doi.org/10.1016/0013-7944(92)90230-c.

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32

Delort, T., and D. Maystre. "Finite-element method for gratings." Journal of the Optical Society of America A 10, no. 12 (1993): 2592. http://dx.doi.org/10.1364/josaa.10.002592.

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33

Strouboulis, T., K. Copps, and I. Babuška. "The generalized finite element method." Computer Methods in Applied Mechanics and Engineering 190, no. 32-33 (2001): 4081–193. http://dx.doi.org/10.1016/s0045-7825(01)00188-8.

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34

Zhao, Shengjie, and Yufu Chen. "Mixed moving finite element method." Applied Mathematics and Computation 196, no. 1 (2008): 381–91. http://dx.doi.org/10.1016/j.amc.2007.06.003.

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35

Meyers, V. J., I. M. Smith, and D. V. Griffiths. "Programming the Finite Element Method." Mathematics of Computation 53, no. 188 (1989): 763. http://dx.doi.org/10.2307/2008738.

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36

Schneider, Teseo, Jérémie Dumas, Xifeng Gao, Mario Botsch, Daniele Panozzo, and Denis Zorin. "Poly-Spline Finite-Element Method." ACM Transactions on Graphics 38, no. 3 (2019): 1–16. http://dx.doi.org/10.1145/3313797.

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37

Erhunmwun, I. D., and U. B. Ikponmwosa. "Review on finite element method." Journal of Applied Sciences and Environmental Management 21, no. 5 (2017): 999. http://dx.doi.org/10.4314/jasem.v21i5.30.

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38

Cen, Song, Chenfeng Li, Sellakkutti Rajendran, and Zhiqiang Hu. "Advances in Finite Element Method." Mathematical Problems in Engineering 2014 (2014): 1–2. http://dx.doi.org/10.1155/2014/206369.

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39

Liu, Xiaohui, Jianfeng Gu, Yao Shen, Ju Li, and Changfeng Chen. "Lattice dynamical finite-element method." Acta Materialia 58, no. 2 (2010): 510–23. http://dx.doi.org/10.1016/j.actamat.2009.09.029.

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40

Hao, Su, Harold S. Park, and Wing Kam Liu. "Moving particle finite element method." International Journal for Numerical Methods in Engineering 53, no. 8 (2002): 1937–58. http://dx.doi.org/10.1002/nme.368.

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41

Idelsohn, Sergio R., Eugenio Oñate, Nestor Calvo, and Facundo Del Pin. "The meshless finite element method." International Journal for Numerical Methods in Engineering 58, no. 6 (2003): 893–912. http://dx.doi.org/10.1002/nme.798.

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42

Liu, Yaling, Wing Kam Liu, Ted Belytschko, et al. "Immersed electrokinetic finite element method." International Journal for Numerical Methods in Engineering 71, no. 4 (2007): 379–405. http://dx.doi.org/10.1002/nme.1941.

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43

LEHMANN, L., S. LANGER, and D. CLASEN. "SCALED BOUNDARY FINITE ELEMENT METHOD FOR ACOUSTICS." Journal of Computational Acoustics 14, no. 04 (2006): 489–506. http://dx.doi.org/10.1142/s0218396x06003141.

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When studying unbounded wave propagation phenomena, the Sommerfeld radiation condition has to be fulfilled. The artificial boundary of a domain discretized using standard finite elements produces errors. It reflects spurious energy back into the domain. The scaled boundary finite element method (SBFEM) overcomes this problem. It unites the concept of geometric similarity with the standard approach of finite elements assembly. Here, the SBFEM for acoustical problems and its coupling with the finite element method for an elastic structure is presented. The achieved numerical algorithm is best su

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44

Vlase, Sorin, Iuliu Negrean, Marin Marin, and Silviu Năstac. "Kane’s Method-Based Simulation and Modeling Robots with Elastic Elements, Using Finite Element Method." Mathematics 8, no. 5 (2020): 805. http://dx.doi.org/10.3390/math8050805.

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The Lagrange’s equation remains the most used method by researchers to determine the finite element motion equations in the case of elasto-dynamic analysis of a multibody system (MBS). However, applying this method requires the calculation of the kinetic energy of an element and then a series of differentiations that involve a great computational effort. The last decade has shown an increased interest of researchers in the study of multibody systems (MBS) using alternative analytical methods, aiming to simplify the description of the model and the solution of the systems of obtained equations.

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45

Duprez, Michel, Vanessa Lleras, and Alexei Lozinski. "Finite element method with local damage of the mesh." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 6 (2019): 1871–91. http://dx.doi.org/10.1051/m2an/2019023.

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We consider the finite element method on locally damaged meshes allowing for some distorted cells which are isolated from one another. In the case of the Poisson equation and piecewise linear Lagrange finite elements, we show that the usual a priori error estimates remain valid on such meshes. We also propose an alternative finite element scheme which is optimally convergent and, moreover, well conditioned, i.e. the conditioning number of the associated finite element matrix is of the same order as that of a standard finite element method on a regular mesh of comparable size.

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46

Tang, Hui, Xiao Jun Li, Guo Liang Zhou, and Chun Ming Zhang. "Finite/Explicit Finite Element - Finite Difference Coupling Method for Analysis of Soil - Foundation System." Advanced Materials Research 838-841 (November 2013): 913–17. http://dx.doi.org/10.4028/www.scientific.net/amr.838-841.913.

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There are some coupling methods based on Finite Element Method and some other numerical methods, such as Infinite Element Method, Boundary Element Method, Finite Difference Method, etc. But these methods have their own limitations on simulation the foundation. For overcome these disadvantages, a coupling method is presented in this paper, which be proposed to analyze the effect of soil - foundation on seismic response of structures. In this coupling method, the structure and the surrounding soil are simulated with Finite Element method, and the other part of the soil with Explicit Finite Eleme

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47

Hu, Hanzhang, Yanping Chen, and Jie Zhou. "Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics." Computers & Mathematics with Applications 72, no. 11 (2016): 2694–715. http://dx.doi.org/10.1016/j.camwa.2016.09.002.

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48

Ben Belgacem, F., and Y. Maday. "The mortar element method for three dimensional finite elements." ESAIM: Mathematical Modelling and Numerical Analysis 31, no. 2 (1997): 289–302. http://dx.doi.org/10.1051/m2an/1997310202891.

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49

Anand, Akash, Jeffrey S. Ovall, and Steffen Weißer. "A Nyström-based finite element method on polygonal elements." Computers & Mathematics with Applications 75, no. 11 (2018): 3971–86. http://dx.doi.org/10.1016/j.camwa.2018.03.007.

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50

Liu, Chang Hong, X. C. Qing, F. Z. Xuan, and S. T. Tu. "A New Method to Solve No-Probabilistic Finite Element Method." Advanced Materials Research 510 (April 2012): 272–76. http://dx.doi.org/10.4028/www.scientific.net/amr.510.272.

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According to the non-probabilistic finite element algorithms, the random finite element equations are translated into the interval finite element equations. Firstly, with the concept of confidence interval in the probability, a interval number can be taken as the random variable with the uniform distribution. Secondly, the uniform random Monte Carlo (MC) finite element method and optimization finite element method are presented. Finally, the example shown, when the numbers of random parameters are small, the two algorithms are all effective. But when numbers of random parameters are large, onl

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