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high order finite elements

High Order Finite Elements in Free Vibrations of Thick Plates

High Order Finite Elements in Free Vibrations of Thick Plates

... the Finite Elements Technique to solve the displacement equation of plates in free ...The finite element adopted is the Lagrangean quadrangular of sixteen nodes ...In order to reproduce ...

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An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations

An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations

... Numerical experiments have shown that Schwarz preconditioning significantly improves GMRES convergence for different values of physical and numerical parameters, and that the ORAS preconditioner always performs much ...

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Parallel preconditioners and high order elements for microwave imaging

Parallel preconditioners and high order elements for microwave imaging

... of high order finite element methods with parallel preconditioners of domain decomposition type for solving electromagnetic problems arising from brain microwave ...the high frequency regime ...

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High order cut finite element methods for the Stokes problem

High order cut finite element methods for the Stokes problem

... a finite difference setting or [8] in a finite element set- ...extended finite element method (XFEM) also provides composite mesh han- dling techniques, see for example [9, ...cut elements ...

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On elements of high order in general finite fields

On elements of high order in general finite fields

... a finite field is ...given finite field is notoriously difficult in the computational theory of finite ...with high multiplicative ...exact order of the ...the order. High ...

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Modeling fragmentation with new high order finite element technology and node splitting

Modeling fragmentation with new high order finite element technology and node splitting

... Order Finite Elements that can easily deal with very large deformations; Stochastic distribution of initial damage that allows for a non homogeneous distribution of fragments; and a Node Splitting ...

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Analysis of patch test consistent atomistic to continuum coupling with higher order finite elements

Analysis of patch test consistent atomistic to continuum coupling with higher order finite elements

... On the other hand, in the continuum region where the interactions are approxi- mated by the Cauchy–Born energy, we could increase the accuracy by using Pp-FEM with p > 1. In later sections we will review that the ...

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Stabilisation of high aspect ratio mixed finite elements for incompressible flow

Stabilisation of high aspect ratio mixed finite elements for incompressible flow

... stretched elements is beneficial for the resolution of local fea- tures such as boundary ...the elements in the mesh, and the order k of the underlying finite ...

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Direct transcription of low-thrust trajectories with finite trajectory elements

Direct transcription of low-thrust trajectories with finite trajectory elements

... In these tests, the DFPET transcription displays a second-order behaviour with respect to temporal size of the element and a good accuracy even with a relatively large size of the element (see Fig. 4). It should ...

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Adaptive high-order finite element solution of transient elastohydrodynamic lubrication problems

Adaptive high-order finite element solution of transient elastohydrodynamic lubrication problems

... low order schemes and much of the algorith- mic development behind them has focused on obtaining accuracy through the use of large numbers of discretization points by improving the efficiency and stability of the ...

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Simulation of Cracking in High Concrete Gravity Dam Using the Extended Finite Elements by ABAQUS

Simulation of Cracking in High Concrete Gravity Dam Using the Extended Finite Elements by ABAQUS

... In order to study the seismic resistance of concrete gravity dams a discrete crack model was combined with a theoretical model to adjust the uplift pressure along a dam ...separate elements and boundary ...

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Normal high order elements in finite field extensions based on the cyclotomic polynomials

Normal high order elements in finite field extensions based on the cyclotomic polynomials

... normal elements, Huczynska, Mullen, Panario and Thomson [3] introduce and character- ize k-normal elements, proposing many problems based on theoretical considerations and computational ...of ...

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Variational Formulations Yielding High Order Finite Element Solutions in Smooth Domains without Curved Elements

Variational Formulations Yielding High Order Finite Element Solutions in Smooth Domains without Curved Elements

... O h as predicted in classical texts (cf. [4]). The behavior of the classical approach deteriorates even more, as compared to the new approach, when the errors are measured in the mean-square norm, whose order seem ...

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Study The Behaviour Of Different Elements In Ansys Finite Elements Software

Study The Behaviour Of Different Elements In Ansys Finite Elements Software

... There are many engineering software that has the ability to model or analyze any engineering problems. In performing structural analysis, especially for Finite Element Analysis, there are software that capable to ...

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Formal and finite order equivalences

Formal and finite order equivalences

... Abstract. We show that two families of germs of real-analytic subsets in C n are formally equiv- alent if and only if they are equivalent of any finite order. We further apply the same technique to obtain ...

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On geometrical hyperstructures of finite order

On geometrical hyperstructures of finite order

... ways, but since the symbol (0, 0, 0) is excepted, it may be chosen by 64-1=63 ways. So, there exist 63 points. In this totality, each point is represented by 3 ways (3 sets of symbols, since there are 3 nonzero marks in ...

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Statistical energy analysis and finite elements

Statistical energy analysis and finite elements

... Although a full FEA of the structure is generally not feasible, some methods are worth mentioning in passing. Stochastic FE methods [3] can accommodate small levels of uncertainty, the uncertain parameters being meshed ...

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A note on the bootstrap method for testing the existence of finite moments

A note on the bootstrap method for testing the existence of finite moments

... an order larger or equal to the tail index are ...many finite moments, it provides misleading ...many finite moments may also produce unreliable ...

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High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems

High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems

... 2. Highorder FD matrices. In this section we summarize the main structural and spectral properties of the band matrices associated with highorder FD discretization of the continuous problem ...

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On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes

On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes

... The abstract Cauchy problem for the hyperbolic equation in a Hilbert space H with self-adjoint positive definite operator A is considered. The third and fourth orders of accuracy difference schemes for the approximate ...

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