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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 ...
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 ...
Numerical electroseismic modeling: A finite element approach
(Elsevier Science Inc, 2012-02)
Electroseismics is a procedure that uses the conversion of electromagnetic to seismic waves in a fluid-saturated porous rock due to the electrokinetic phenomenon. This work presents a collection of continuous and discrete ...
A finite element method for stiffened plates
(EDP Sciences, 2012-12)
The aim of this paper is to analyze a low order finite element method for a stiffened plate. The plate is modeled by Reissner-Mindlin equations and the stiffener by Timoshenko beams equations. The resulting problem is shown ...
Approximations by mini mixed finite element for the Stokes-Darcy coupled problem on curved domains
(Isci-inst Scientific Computing & Information, 2021-03)
In this work we solve a Stokes-Darcy coupled problem in a plane curved domain using curved elements. We approximate the velocity-pressure pair by applying the MINI-element method, for the whole coupled problem. We show ...
A two-dimensional linear assumed strain triangular element for finite deformation analysis
(American Society of Mechanical Engineers, 2006-11-19)
An assumed strain approach for a linear triangular element able to handle finite deformation problems is presented in this paper. The element is based on a total Lagrangian formulation and its geometry is defined by three ...
Hermite–Lagrangian finite element formulation to study functionally graded sandwich beams
(Elsevier B.V., 2016-04)
This paper presents a static analysis of functionally graded single and sandwich beams by using an efficient 7DOFs quasi-3D hybrid type theory. The governing equations are derived by employing the principle of virtual works ...
Modelling 3D metal cutting problems with the particle finite element method
(Springer Verlag, 2020-01-01)
This work presents the development of the Particle Finite Element Method (PFEM) for the modelling of 3D solid mechanics problems under cutting conditions. The study and analysis of numerical models reproducing the cut of ...