Results 261 to 270 of about 18,656,673 (304)
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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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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 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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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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A higher‐order triangular plate bending element revisited
International Journal for Numerical Methods in Engineering, 1990AbstractA new formulation of an eighteen‐degrees‐of‐freedom higher‐order triangular plate bending element using triangular area co‐ordinates is presented. The displacement function w is taken as the complete fifth‐order polynomial in area co‐ordinates. The normal slope along an edge of the triangle is constrained to vary cubically.
Dasgupta, Suman, Sengupta, Dipak
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Synthetic circuit elements of higher order with current conveyors
Asia-Pacific Conference on Circuits and Systems, 2003The design of a synthetic element of higher-order immittance function using transformation circuits is described. A new current conveyor structure for low x-terminal input impedance has been used and its model has been presented. PSpice simulation of a third-order Chebyshev lowpass filter is included.
Ivo Lattenberg +3 more
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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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Accurate surface embedding for higher order finite elements
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation, 2013In this paper we present a novel approach to efficiently simulate the deformation of highly detailed meshes using higher order finite elements (FE). An efficient algorithm based on non-linear optimization is proposed in order to find the closest point in the curved computational FE mesh for each surface vertex.
Stefan Suwelack +4 more
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Two-Dimensional Higher Order Elements
2014The triangular elements with quadratic and cubic shape functions in terms of the local area coordinates are presented and coordinate transformation law with the associated Jacobian matrix calculations are given in the chapter. As an application, the Field problem in two dimensions is considered and employing the quadratic triangular element, the ...
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