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A finite element method for surface diffusion: The parametric case
(Elsevier, 2005-02)
Surface diffusion is a (fourth order highly nonlinear) geometric driven motion of a surface with normal velocity proportional to the surface Laplacian of mean curvature. We present a novel variational formulation for ...
Geometric Interpretation of a Non-linear Beam Finite Element on the Lie Group SE(3)
(De Gruyter, 2014-08)
Recently, the authors proposed a geometrically exact beam finite element formulation on the Lie group SE(3). Some important numerical and theoretical aspects leading to a computationally efficient strategy were obtained. ...
An hp finite element adaptive scheme to solve the Poisson problem on curved domains
(Springer, 2015-07)
In this work, we introduce an hp finite element method for two-dimensional Poisson problems on curved domains using curved elements. We obtain a priori error estimates and define a local a posteriori error estimator of ...
Finite element approximations of the nonhomogeneous fractional Dirichlet problem
(Oxford University Press, 2018-05)
We study finite element approximations of the nonhomogeneous Dirichlet problem for the fractional Laplacian. Our approach is based on weak imposition of the Dirichlet condition and incorporating a nonlocal analogue of the ...
Finite element approximations in a non-lipschitz domain: part II
(American Mathematical Society, 2011-09)
In a paper by R. Dur ́ an, A. Lombardi, and the authors (2007) the finite element method was applied to a non-homogeneous Neumann problem on a cuspidal domain Ω ⊂ R 2 , and quasi-optimal order error estimates in the energy ...
Finite Element Approximation for the Fractional Eigenvalue Problem
(Springer/Plenum Publishers, 2018-10)
The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue problem converges to the continuous one and ...
Finite elements analysis suggests a defensive role for osteoderms in titanosaur dinosaurs (Sauropoda)
(Academic Press Ltd - Elsevier Science Ltd, 2022-01)
Here we present, for the first time, the use of finite element analysis to evaluate bites of two possible predators, a baurusuchid crocodyliform and an abelisaurid theropod into titanosaur osteoderms, in order to test if ...
LIFFE: Lithospheric flexure with finite elements
(Pergamon-Elsevier Science Ltd, 2020-07)
We present LIFFE (Lithospheric Flexure with Finite Elements), a platform designed to perform lithospheric flexure. LIFFE is an easy-to-use, flexible and open-source code intended to model the flexure of a laterally ...
Parallel finite element algorithm with domain decomposition for three-dimensional magnetotelluric modelling
(Elsevier Science, 2000-05)
We present a new finite element (FE) method for magnetotelluric modelling of three-dimensional conductivity structures. Maxwell's equations are treated as a system of first-order partial differential equations for the ...
A formulation for modeling levitation based vibration energy harvesters undergoing finite motion
(Academic Press Ltd - Elsevier Science Ltd, 2019-02-15)
This paper presents a geometrically exact formulation for modeling electromagnetic vibration energy harvesters undergoing finite displacements and rotations. The formulation is conceived to model uniaxial harvesters that ...