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A nonconforming mixed finite element method for Maxwell's equations
(World Scientific, 2000-02)
We present a nonconforming mixed finite element scheme for the approximate solution of the time-harmonic Maxwell's equations in a three-dimensional, bounded domain with absorbing boundary conditions on artificial boundaries. ...
Convergence of adaptive finite element methods for eigenvalue problems
(World Scientific, 2009-05)
In this paper we prove convergence of adaptive finite element methods for second-order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple ...
Analysis and prediction of welding distortion in complex structures using elastic finite element method
(2012-07)
The Elastic Finite Element Method based on the inherent strain theory is used to predict the welding distortion of ship structures. In addition, a method to predict welding distortion of complex structures by using elastic ...
A hierarchical finite element for composite laminated beams using a refined zigzag theory
(Elsevier, 2017-03)
In this work a kinematics for laminated beams enriched with a refined formulation ZigZag (RZT), originally presented by Tessler et al. in 2007, introduced in a hierarchical one dimensional type “p” finite element is ...
On Convex Functions and the Finite Element Method
(Society for Industrial and Applied Mathematics, 2009-12)
Many problems of theoretical and practical interest involve finding a convex or concave function.For instance, optimization problems such as finding the projection on the convex functions in $H^k(Omega)$, or some problems ...
An Eulerian finite element with finite rotations for thin-walled composite beams.
(Asociación Argentina de Mecánica Computacional, 2010-11)
An Eulerian beam finite element for composite thin-walled beams considering arbitrary displacements and rotations is presented. As a distinct feature, the virtual work equations are written as a function of generalized ...
Order of convergence of the finite element method for the p(x)-Laplacian
(Oxford University Press, 2014-02)
In this work, we study the rate of convergence of the finite element method for the p(x) Laplacian (1<p1≤p(x)≤p2≤2) in a bounded convex domain in R2.
A basic convergence result for conforming adaptive finite element methods
(World Scientific, 2008-05)
We consider the approximate solution with adaptive finite elements of a class of linear boundary value problems, which includes problems of "saddle point" type. For the adaptive algorithm we assume the following framework: ...
Inverse finite element analysis using a simple reduced integration hexahedral solid-shell element
(Elsevier Science, 2020-10)
This paper introduces the inverse finite element method using simple brick elements that can be used for shell analysis. The proposed element is the inverse counterpart of an existing Lagrangean-based “direct” trilinear ...