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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. ...
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 ...
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 ...
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.
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 ...
Approximation classes for adaptive time-stepping finite element methods
(Cornell University, 2021-03)
We study approximation classes for adaptive time-stepping finite element methods for time-dependent Partial Differential Equations (PDE). We measure the approximation error in L2([0, T) × Ω) and consider the approximation ...
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: ...
Finite element modelling of inverse design problems in large deformations anisotropic hyperelasticity
(John Wiley & Sons Ltd, 2008-12)
This paper introduces a finite element model for the inverse design of pieces with large displacements in the elastic range. The problem consists in determining the initial shape of the piece, such that it attains the ...