Results 11 to 20 of about 1,340,026 (338)
Generalizations of the Finite Element Method
Open Mathematics, 2012 Abstract This paper is concerned with the generalization of the finite element method via the use of non-polynomial enrichment functions. Several methods employ this general approach, e.g. the extended finite element method and the generalized finite element method.
Schweitzer Marc
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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 ...
Bramble, James H., Zlámal, Miloš
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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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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.
Bardos, Claude +2 more
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Recovered finite element methods [PDF]
Computer Methods in Applied Mechanics and Engineering, 2018 We introduce a family of Galerkin finite element methods which are constructed via recovery operators over element-wise discontinuous approximation spaces. This new family, termed collectively as recovered finite element methods (R-FEM) has a number of attractive features over both classical finite element and discontinuous Galerkin approaches, most ...
Georgoulis, Emmanuil H., Pryer, Tristan
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Coupled Finite Volume and Finite Element Method Analysis of a Complex Large-Span Roof Structure
International Journal of Applied Mechanics and Engineering, 2017 The main goal of this paper is to present coupled Computational Fluid Dynamics and structural analysis for the precise determination of wind impact on internal forces and deformations of structural elements of a longspan roof structure. The Finite Volume
J. Szafran, K. Juszczyk, M. Kamiński
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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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Finite Element Formalism for Micromagnetism [PDF]
, 2007 The aim of this work is to present the details of the finite element approach we developed for solving the Landau-Lifschitz-Gilbert equations in order to be able to treat problems involving complex geometries. There are several possibilities to solve the
Buda, Liliana-Daniela +3 more
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Hybrid finite difference/finite element immersed boundary method [PDF]
, 2017 The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of ...
Griffith, Boyce E., Luo, Xiaoyu
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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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