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Higher-Order Finite Element for Sandwich Plates
AIAA Journal, 1998A 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. S. Hansen
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Electromagnetic Scattering by Isoparametric Elements of Higher Order
Computational Methods in Applied Mathematics, 2014Abstract. 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 +2 more
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Asteroid Mean Elements: Higher Order and Iterative Theories
Celestial Mechanics and Dynamical Astronomy, 1998The 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 +1 more
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Methods and framework for visualizing higher-order finite elements
IEEE Transactions on Visualization and Computer Graphics, 2006The 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 +6 more
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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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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, 2006Let \(N\) 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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Higher Order Finite Element Methods
2017The 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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A novel approach for devising higher‐order hybrid elements
International Journal for Numerical Methods in Engineering, 1993AbstractThis 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 analysis of lake circulation
Computers & Fluids, 1973Abstract The finite element method is applied to the analysis of the wind-driven circulation of variable-depth, shallow, homogenous lakes. Attention is concentrated upon higher-order description of the flow phenomena within the individual elements and upon the use of these higher order functions in the definition of curved element boundaries ...
Gallagher, Richard H. +1 more
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Locations of optimal stress points in higher‐order elements
Communications in Numerical Methods in Engineering, 1999Summary: 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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