Results 1 to 10 of about 5,962,437 (315)
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension [PDF]
SIAM Journal on Numerical Analysis, 2021 Several div-conforming and divdiv-conforming finite elements for symmetric tensors on simplexes in arbitrary dimension are constructed in this work. The shape function space is first split as the trace space and the bubble space.
Long Chen, Xuehai Huang
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Generating finite element method in constructing complex-shaped multigrid finite elements [PDF]
EPJ Web of Conferences, 2019 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.
Matveev Aleksandr
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Simple curl-curl-conforming finite elements in two dimensions [PDF]
SIAM Journal on Scientific Computing, 2020 We construct smooth finite element de Rham complexes in two space dimensions. This leads to three families of curl-curl conforming finite elements, two of which contain two existing families.
Kaibo Hu, Qian Zhang, Zhimin Zhang
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Applied Sciences, 2021 In this paper, we present an automatic procedure that enhances the solution accuracy of edge-based smoothed 2D solid finite elements (three-node triangular and four-node quadrilateral elements).
Min-Han Oh, San Kim
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Hanging nodes for higher-order Lagrange finite elements
Examples and Counterexamples, 2021 We report in this work an extension of hanging nodes theory for Lagrange elements to higher-order elements. Concrete values of the constants that appear in the applications are also provided.
Abhinav Jha
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Stochastic finite elements: Where is the physics? [PDF]
Theoretical and Applied Mechanics, 2011 The micromechanics based on the Hill-Mandel condition indicates that the majority of stochastic finite element methods hinge on random field (RF) models of material properties (such as Hooke’s law) having no physical content, or even at odds with ...
Ostoja-Starzewski Martin
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Results in Engineering, 2022 Sustainable development encourages the construction of buildings based from local raw materials because they are ecological, renewable, available, low energy consumption, less costly, low pollution, and therefore without risk to human health.
E. Kowa Ketchadji +5 more
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Real Elements and p-Nilpotence of Finite Groups [PDF]
Advances in Group Theory and Applications, 2016 Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-2-nilpotent group G, is a real element of S. This allows to give a character-free proof of a theorem due to Isaacs and Navarro (see [9, Theorem B]). As an
Adolfo Ballester-Bolinches +2 more
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Construction of Supplemental Functions for Direct Serendipity and Mixed Finite Elements on Polygons
Mathematics, 2023 New families of direct serendipity and direct mixed finite elements on general planar, strictly convex polygons were recently defined by the authors. The finite elements of index r are H1 and H(div) conforming, respectively, and approximate optimally to ...
Todd Arbogast, Chuning Wang
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Relu Deep Neural Networks and Linear Finite Elements [PDF]
Journal of Computational Mathematics, 2018 In this paper, we investigate the relationship between deep neural networks (DNN) with rectified linear unit (ReLU) function as the activation function and continuous piecewise linear (CPWL) functions, especially CPWL functions from the simplicial linear
Juncai He +3 more
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