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Finite Element Method [PDF]

open access: yes, 2012
International audience; In this chapter, we demonstrate a general formulation of the Finite Element Method allowing to calculate the diffraction efficiencies from the electromagnetic field diffracted by arbitrarily shaped gratings embedded in a multilayered stack lightened by a plane wave of arbitrary incidence and polarization angle.
Emmanuel Lefrançois   +2 more
semanticscholar   +6 more sources

Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation [PDF]

open access: yes, 2015
We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational domain: finite difference method is used on the structured part of the computational domain and ...
Beilina, L.
arxiv   +3 more sources

A Comparative Study of Finite Element Method and Hybrid Finite Element Method–Spectral Element Method Approaches Applied to Medium-Frequency Transformers with Foil Windings

open access: yesJ, 2023
This study aims to improve the computational efficiency of the frequency domain analysis of medium-frequency transformers (MFTs) with the presence of large clearance distances and fine foil windings.
Siamak Pourkeivannour   +4 more
doaj   +1 more source

Application of the Double Approximation Method for Constructing Stiffness Matrices of Volumetric Finite Elements

open access: yesAdvanced Engineering Research, 2023
Introduction. When numerically solving problems of elasticity theory in a three-dimensional formulation by the finite element method, finite elements (FE) in the form of parallelepipeds, prisms and tetrahedra are used.
P. P. Gaidzhurov, N. A. Saveleva
doaj   +1 more source

Dynamic Damage Quantification of Slab Tracks—Finite Element Models on Winkler Soil and Finite-Element Boundary-Element Models on Continuous Soil

open access: yesCivilEng, 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
doaj   +1 more source

Crack Propagation by Finite Element Method [PDF]

open access: yesFracture and Structural Integrity, 2018
Crack propagation simulation began with the development of the finite element method; the analyses were conducted to obtain a basic understanding of the crack growth.
Luiz Carlos H. Ricardo
doaj   +1 more source

The finite element method for elliptic problems

open access: yesClassics in applied mathematics, 2002
From the Publisher: This book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and ...
P. G. Ciarlet
semanticscholar   +1 more source

Validity of Finite Element Method: Analysis of Laminated Composite Decks Plates Subjected to in Plane Loading [PDF]

open access: yes, 2019
To verify the accuracy of the present technique, buckling loads are evaluated and validated with other works available in the literature. Further comparisons were carried out and compared with the results obtained by the ANSYS package and experimental ...
Hassan, T. (Tagelsir)   +2 more
core   +1 more source

Review on finite element method

open access: yesJournal of Applied Sciences and Environmental Management, 2017
In this work, we have discussed what Finite Element Method (FEM) is, its historical development, advantages and its future. The eventual intension of using FEM is to determine the nodal solution of a particular problem under study.
I.D. Erhunmwun, U.B. Ikponmwosa
doaj   +1 more source

Generating finite element method in constructing complex-shaped multigrid finite elements [PDF]

open access: yesEPJ 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
doaj   +1 more source

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