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Research on Output Characteristics of Microscale BST Laminate Structure Based on Mixed Finite Element Method [PDF]

open access: yesMicromachines, 2023
The flexoelectric effect, which is sensitive to size, refers to the phenomenon of coupling between the strain gradient and electrical polarization and involves higher-order derivatives of physical quantities such as displacement, and the analytical ...
Ying Luo, Tian Pu, Hongguang Liu
doaj   +2 more sources

A Reduced-Order Extrapolation (ROE) Method for Solution Coefficient Vectors in the Mixed Finite Element (MFE) Method for the Two-Dimensional (2D) Fourth-Order Hyperbolic Equation

open access: yesIEEE Access, 2022
This study focuses on a reduced-order extrapolation method for the coefficient vectors of the mixed finite element solution for two-dimensional fourth-order hyperbolic equation. We first establish the mixed finite element scheme for the equation and give
Changbiao Yu, Wenwen Xu, Xindong Li
doaj   +1 more source

A Mixed Finite-Element Method on Polytopal Mesh

open access: yesCommunications on Applied Mathematics and Computation, 2022
arXiv admin note: substantial text overlap with arXiv:2008 ...
Yanping Lin, Xiu Ye, Shangyou Zhang
openaire   +4 more sources

Numerical aspects of computational homogenization [PDF]

open access: yesComputer Methods in Materials Science, 2013
Computational homogenization enables replacement of a heterogeneous domain by an equivalent body with effective material parameters. Approach that we use is based on two-scale micro/macro analysis.
Marta Serafin, Witold Cecot
doaj   +1 more source

Stress-strain state of shell of revolution analysis by using various formulations of three-dimensional finite elements

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2020
The aim of the work is to perform a comparative analysis of the results of analyzing arbitrarily loaded shells of revolution using finite element method in various formulations, namely, in the formulation of the displacement method and in the mixed ...
Natalia A. Gureeva   +3 more
doaj   +1 more source

Mixed convection study in a ventilated square cavity using nanofluids [PDF]

open access: yesJournal of Heat and Mass Transfer Research, 2019
This work indicates a numerical study on the laminar heat transfer mixed convection in a square cavity with two openings (an inlet and an outlet) on vertical walls through which nanofluid flows.
Paulo Guimarães   +2 more
doaj   +1 more source

Mixed finite element method of a seawater intrusion problem in confined aquifers [PDF]

open access: yesE3S Web of Conferences, 2021
We consider a model mixing sharp and diffuse interface approach for the seawater intrusion phenomenon in confined aquifers. The aim of this work is to introduce and analyze a new mixed formulation, obtained by writing the problem into a matrix form, and ...
Medarhri Ibtissam   +4 more
doaj   +1 more source

A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems

open access: yesMethodsX, 2023
We consider a mixed finite element method for a linear multivariate spline using the Laplacian penalty. Our discretisation is based on biorthogonal systems leading to a very simple and efficient finite element scheme.
Bishnu P. Lamichhane
doaj   +1 more source

Comparative analysis of finite element formulations at plane loading of an elastic body

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2020
The aim of the work - comparison of the results of determining the parameters of the stress-strain state of plane-loaded elastic bodies based on the finite element method in the formulation of the displacement method and in the mixed formulation. Methods.
Natalia A. Gureeva   +2 more
doaj   +1 more source

A family of H-div-div mixed triangular finite elements for the biharmonic equation

open access: yesResults in Applied Mathematics, 2022
A family of Pk+22×2-PkH(divdiv)mixed finite elements on triangular grids is constructed for the biharmonic equation. For the H(divdiv)mixed finite element functions, both the stress tensor and its divergence have continuous normal components, σh⋅nand ...
Xiu Ye, Shangyou Zhang
doaj   +1 more source

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