Results 241 to 250 of about 17,871,941 (289)

On Higher Order Pyramidal Finite Elements

Advances in Applied Mathematics and Mechanics, 2011
In this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis functions. Then we present a new symmetric composite pyrami- dal finite element which yields a better convergence than the nonsymmetric one. It has fourteen degrees of freedom and its basis functions are incomplete piece- wise triquadratic polynomials. The space of
Liu, L., Davies, K.B., Křížek, M. (Michal), Guan, L.   +3 more
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Higher-Order Finite Element for Sandwich Plates

AIAA Journal, 1998
A finite element model for the analysis of sandwich plates with laminated composites face-sheets is developed. In the model, the face-sheets are represented as ReissnerMindlin plates and therefore include shear deformation effects. The core is modelled as a three-dimensional continuum in which the through-thickness representation of the displacement ...
S. Oskooei, J. Hansen
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Electromagnetic Scattering by Isoparametric Elements of Higher Order

Computational Methods in Applied Mathematics, 2014
Abstract. A boundary element method with higher order isoparametric elements allows for the simulation of scattering problems given by the electric field integral equation. This paper describes the implementation and provides striking numerical evidence of the higher order convergence rates for the approximation of the electric surface ...
Lucy Weggler, Johannes van Tonder, Ulrich Jakobus   +2 more
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Methods and framework for visualizing higher-order finite elements

IEEE Transactions on Visualization and Computer Graphics, 2006
The finite element method is an important, widely used numerical technique for solving partial differential equations. This technique utilizes basis functions for approximating the geometry and the variation of the solution field over finite regions, or elements, of the domain.
William J. Schroeder, François Bertel, Mathieu Malaterre, David C. Thompson 0001, Philippe P. Pébay, Robert M. O'Bara, Saurabh Tendulkar   +6 more
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Asteroid Mean Elements: Higher Order and Iterative Theories

Celestial Mechanics and Dynamical Astronomy, 1998
The authors present an accurate and reliable algorithm to compute mean elements of asteroids. A satisfactory accurracy is obtained much closer to the strongest mean motion resonances. The fixed-point-based algorithm is iterative, with the first-order theory as an iteration step.
MILANI COMPARETTI, ANDREA, KNEZEVIC, ZORAN   +1 more
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Higher-Order Elements

1999
In the earlier seven chapters, we solved by the Green element method a variety of engineering problems in 1-D. spatial dimensions ranging from steady to transient, linear to nonlinear, and from those which apply in homogeneous to heterogeneous media.
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Local Approach to Higher-Order Contact Elements

Reports on Mathematical Physics, 2006
Let \(N\) be an \(n\)-dimensional submanifold of an \(m\)-dimensional manifold \(M\). In this paper, the author defines regular \(n\)-dimensional velocities of order \(r\) and \(n\)-dimensional contact elements of order \(r\) determined by \(N\) and presents their local descriptions.
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A novel approach for devising higher‐order hybrid elements

International Journal for Numerical Methods in Engineering, 1993
AbstractThis paper presents an efficient way to devise higher‐order hybrid elements by generalizing the admissible matrix formulation recently proposed by the author. The assumed stress or strain is first decomposed into the constant, lower‐ and higher‐order modes.
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Higher Order Finite Element Methods

2017
The efficiency of numerical methods for wave propagation analysis is essential, as very fine spatial and temporal resolutions are required in order to properly describe all the phenomena of interest, such as scattering, reflection, mode conversion, and many more.
S. Duczek, C. Willberg, U. Gabbert
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Locations of optimal stress points in higher‐order elements

Communications in Numerical Methods in Engineering, 1999
Summary: The locations of optimal stress points in Lagrangian and serendipity elements are determined by using the symbolic mathematical tool MATHEMATICA. It is found that, for the Lagrange family of elements of order more than two, the coordinates of optimal stress points slightly differ from those of the reduced Gauss integration points.
Oh, Hyung-Seok, Batra, R. C.
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