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Element‐free Galerkin methods

International Journal for Numerical Methods in Engineering, 1994
AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are ...
Belytschko, T., Lu, Y. Y., Gu, L.
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A coupled finite element?element-free Galerkin method

Computational Mechanics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belytschko, T., Organ, D., Krongauz, Y.
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Loop-Free Threshold Element Structures

IEEE Transactions on Computers, 1969
The paper deals with the problem of "compound" and "cascade threshold" element "synthesis" of an arbitrary Boolean function from the "multithreshold weight threshold vector" (MTWTV). The above synthesis procedure is presented to reveal a unique feature of the multithreshold weight threshold vector, from which several realizations of threshold element ...
Chao-Wei Mow, King-Sun Fu
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Consistent element‐free Galerkin method

International Journal for Numerical Methods in Engineering, 2014
SUMMARYAn element‐free Galerkin (EFG) method with linear, quadratic and cubic approximations, which can exactly, in a numerical sense, pass the corresponding patch tests is proposed and is named as consistent EFG (CEFG) method. The development of this method is based on the Hu–Washizu three‐field variational principle.
Duan, Qinglin   +6 more
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Subgroups of free groups and primitive elements

Journal of Group Theory, 2010
Let \(F\) be a free group on the basis \(X=\langle x_1,x_2,\dots,x_n\rangle\) and \(H\) be a finitely generated subgroup of \(F\). A question is [see \url{http://www.grouptheory.info/}, Question F39b]: Is it possible to decide if \(H\) contains a primitive element of \(F\)?
Clifford, A., Goldstein, R. Z.
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Explicit free‐floating beam element

International Journal for Numerical Methods in Engineering, 2014
SUMMARYA two‐node free‐floating beam element capable of undergoing arbitrary large displacements and finite rotations is presented in explicit form. The configuration of the beam in three‐dimensional space is represented by the global components of the position of the beam nodes and an associated set of convected base vectors (directors).
Nielsen, Martin B., Krenk, Steen
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Scale-Free Refined Element Technique

AIAA Journal, 1981
Scale-free finite elements are elements whose stiffness properties depend only on relative dimensions and material constants. These elements are used in conjunction with standard finite-element techniques to formulate refined elements that are applicable to problems of different dimensions.
Dow, John O., Byrd, Doyle E.
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