Results 31 to 40 of about 117,310 (166)
A Confined Flow over a Cylinder by the Finite Element and the Finite Difference Methods [PDF]
Engineering and Technology Journal, 2011 The Finite element and the finite difference methods were applied to a confined flow over a cylinder. The values of velocity potential (F), the stream function (Y) and the velocity distribution are calculated by using a computer programs achieved by the ...
Ahlam Sadir Mohammed
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The tempered finite element method
Journal of Computational PhysicsIn this paper, we propose a new approach -- the Tempered Finite Element Method (TFEM) -- that extends the Finite Element Method (FEM) to classes of meshes that include zero-measure or nearly degenerate elements for which standard FEM approaches do not allow convergence.
Antoine Quiriny +4 more
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Adaptive finite element methods
Acta NumericaThis is a survey of the theory of adaptive finite element methods (AFEMs), which are fundamental to modern computational science and engineering but whose mathematical assessment is a formidable challenge. We present a self-contained and up-to-date discussion of AFEMs for linear second-order elliptic PDEs and dimension d > 1, with emphasis on ...
Andrea Bonito +3 more
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SoftFEM: The Soft Finite Element Method [PDF]
International Journal for Numerical Methods in Engineering, 2019 SummaryWhile the finite element method (FEM) has now reached full maturity both in academy and industry, its use in optimization pipelines remains either computationally intensive or cumbersome. In particular, currently used optimization schemes leveraging FEM still require the choice of dedicated optimization algorithms for a specific design problem ...
Peña Sánchez, José María +2 more
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Strong Superconvergence of Finite Element Methods for Linear Parabolic Problems
International Journal of Mathematics and Mathematical Sciences, 2009 We study the strong superconvergence of a semidiscrete finite element scheme for linear parabolic problems on 𝑄=Ω×(0,𝑇], where Ω is a bounded domain in ℛ𝑑(𝑑≤4) with piecewise smooth boundary. We establish the global two order superconvergence results for
Kening Wang, Shuang Li
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Analytical mechanics methods in finite element analysis of multibody elastic system
Boundary Value Problems, 2023 The study of multibody systems with elastic elements involves at the moment the reevaluation of the classical methods of analysis offered by analytical mechanics.
Maria Luminita Scutaru +2 more
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Oversampling for the Multiscale Finite Element Method [PDF]
Multiscale Modeling & Simulation, 2013 This paper reviews standard oversampling strategies as performed in the Multiscale Finite Element Method (MsFEM). Common to those approaches is that the oversampling is performed in the full space restricted to a patch but including coarse finite element functions.
Patrick Henning, Daniel Peterseim
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Approximation of noisy data using multivariate splines and finite element methods
Journal of Algorithms & Computational Technology, 2021 We compare a recently proposed multivariate spline based on mixed partial derivatives with two other standard splines for the scattered data smoothing problem. The splines are defined as the minimiser of a penalised least squares functional.
Bishnu P Lamichhane +2 more
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An Adaptive Multiscale Finite Element Method [PDF]
Multiscale Modeling & Simulation, 2014 This work is devoted to an adaptive multiscale finite element method (MsFEM) for solving elliptic problems with rapidly oscillating coeefficients. Starting from a general version of the MsFEM with oversampling, we de- rive an a posteriori estimate for the H1-error between the exact solution of the problem and a corresponding MsFEM approximation.
Patrick Henning +2 more
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Spectral Analysis of Large Finite Element Problems by Optimization Methods
Shock and Vibration, 1994 Recently an efficient method for the solution of the partial symmetric eigenproblem (DACG, deflated-accelerated conjugate gradient) was developed, based on the conjugate gradient (CG) minimization of successive Rayleigh quotients over deflated subspaces ...
Luca Bergamaschi +2 more
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