Results 251 to 260 of about 5,397,821 (298)
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On the Angle Condition in the Finite Element Method
SIAM Journal on Numerical Analysis, 1976The finite element procedure consists in finding an approximate solution in the form of piecewise linear functions, piecewise quadratic, etc. For two-dimensional problems, one of the most frequently used approaches is to triangulate the domain and find the approximate solution which is linear, quadratic, etc., in every triangle.
Babuška, Ivo, Aziz, A. K.
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On finite element implementation of impedance boundary conditions
Journal of Applied Physics, 1994In the paper, impedance boundary conditions are represented in terms of scalar magnetic potential. This leads to a scalar magnetic potential formulation of three-dimensional (3-D) eddy current problems with small skin depths. The scalar potential formulation is then reduced to a weak Galerkin form. The finite element discretization of this form results
I. D. Mayergoyz, G. Bedrosian
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On Mesh Regularity Conditions for Simplicial Finite Elements
2020We review here various results (including own very recent ones) on mesh regularity conditions commonly imposed on simplicial finite element meshes in the interpolation theory and finite element analysis. Several open problems are listed as well.
Ali Khademi +2 more
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On existence conditions for elements and classes
Journal of Symbolic Logic, 1942In the middle of myMathematical logicI defined a certain class of formulae as “stratified,” and conjectured that exclusion from this class is a feature “shared, presumably, by all the untenable statements(p. 157). This ushered in a set of axioms of class-membership which Rosser has since shown to be inconsistent.
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Growth conditions on powers of Hermitian elements
Mathematical Proceedings of the Cambridge Philosophical Society, 1982Roe (7) has recently given a striking characterization of the sine function as essentially the only function defined on the real line which has all its derivatives and successive ‘integrals’ bounded by a uniform bound, and this result has since been generalized by Burkill (5).
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On the Maximum Angle Condition for Linear Tetrahedral Elements
SIAM Journal on Numerical Analysis, 1992Summary: Synge's maximum angle condition for triangular elements is generalized to tetrahedral elements. For the generalized condition, it is proved that tetrahedra may degenerate in a certain way and the error of the standard linear interpolation remains \(O(h)\) in the \(W^ 1_ p(\Omega)\)-norm for sufficiently smooth functions and \(p\in[1,\infty]\).
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Tribology Extenics Condition Evaluation Based on Matter Element Theory
2009 WASE International Conference on Information Engineering, 2009The tribo-system has non-linear and randomfeatures; it means that the tribo-system output parameters,such as friction coefficient, friction temperature, friction ratioetc. have steady or non-steady random features. Adoptingmatter element model to describe the tribo-system conditioncan integrate different types information into a model andrealize the ...
Zhao Chunhua +3 more
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On boundary conditions in the element-free Galerkin method
Computational Mechanics, 1997The problem of accuracte imposition of essential boundary conditions in the element free Galerkin method is discussed. Using this method some difficulties often occur, because the moving least squares interpolants used in this method lack the delta function property of the usual finite element or boundary element method shape functions.
Mukherjee, Y. X., Mukherjee, S.
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Reflectarray element analysis based on generalized sheet transition conditions
2017 11th European Conference on Antennas and Propagation (EUCAP), 2017The surface electric and magnetic susceptibilities and the surface impedance of an array composed of periodic scatterers are derived based on generalized sheet transition conditions. Using these characteristic parameters, the reflection coefficient of a reflectarray element can be readily computed for arbitrary incident angles, polarizations, and ...
Xiao Liu +3 more
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On conditions of existence of sums of functions of conditioned random elements
Journal of Mathematical Sciences, 2005Let \((\Omega,\mathcal S,\mathbb P)\) and \((\mathcal F,\mathcal B)\) be probability and measurable spaces, respectively. Any \((\mathcal B,\mathcal S)\)-measurable mapping of a set \(\Omega\) into a set \(\mathcal F\) is called a random element. Let \(w_1,w_2,\dots,w_N\) be random elements given on a probability space \((\Omega_1,{\mathcal S}_1 ...
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