Results 11 to 20 of about 1,565,611 (347)
Eighty Years of the Finite Element Method: Birth, Evolution, and Future [PDF]
Archives of Computational Methods in Engineering, 2021 This document presents comprehensive historical accounts on the developments of finite element methods (FEM) since 1941, with a specific emphasis on developments related to solid mechanics.
Wing Kam Liu, Shaofan Li, Harold S. Park
semanticscholar +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Can physics-informed neural networks beat the finite element method? [PDF]
IMA J Appl Math, 2023 Partial differential equations (PDEs) play a fundamental role in the mathematical modelling of many processes and systems in physical, biological and other sciences.
Grossmann TG +3 more
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CivilEng, 2022 Train passages over intact or damaged slab tracks on different soils were calculated by two methods. The finite element method (FEM) uses a Winkler soil under the track model by adding a thin “soil layer”.
Lutz Auersch, Jiaojiao Song
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Triangular Elements in the Finite Element Method [PDF]
Mathematics of Computation, 1970 For a plane polygonal domain Ω \Omega and a corresponding (general) triangulation we define classes of functions p m ( x , y ) {p_m}(x,y) which are polynomials on each triangle and which are in ...
James H. Bramble, Miloš Zlámal
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The vortex method with finite elements [PDF]
Mathematics of Computation, 1981 This work shows that the method of charcteristics is well suited for the numerical solution of first order hyperbolic partial differential equations whose coefficients are approximated by functions piecewise constant on a finite element triangulation of the domain of integration.
Claude Bardos +2 more
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Crownwall Failure Analysis through Finite Element Method
Journal of Marine Science and Engineering, 2020 Several failures of recurved concrete crownwalls have been observed in recent years. This work aims to get a better insight within the processes underlying the loading phase of these structures due to non-breaking wave impulsive loading conditions and to
Dimitrios Dermentzoglou +5 more
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Advances in Finite Element Method [PDF]
Mathematical Problems in Engineering, 2014 1 AML, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China 2 College of Engineering, Swansea University, Swansea SA2 8PP, UK 3 School of Mechanical and Aerospace Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore 4 State Key Laboratory of Ocean Engineering ...
Cen, Song +3 more
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High-Accuracy Finite Element Method: Benchmark Calculations
EPJ Web of Conferences, 2018 We describe a new high-accuracy finite element scheme with simplex elements for solving the elliptic boundary-value problems and show its efficiency on benchmark solutions of the Helmholtz equation for the triangle membrane and hypercube.
Gusev Alexander +7 more
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Nihon Kikai Gakkai ronbunshu, 2016 This paper presents a novel Formulated Alpha FEM with deviatoric / volumetric split, which is combination of standard FEM and Node-based Smoothed FEM (NS-FEM), to compute highly accurate deformation in mechanical problems using tetrahedral elements.
Masaki FUJIKAWA +5 more
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