Sentence examples for matrix of element from inspiring English sources

The finite element equation is scale-decoupled via eliminating all coupling in the stiffness matrix of element across scales, then resolved in different spaces independently.

The scale-decoupling condition of the stiffness matrix of element is proposed by introducing wavelet vanishing moments, and the principle of constructing the scale-decoupling wavelet bases is established.

The first one is based on an analytical expression for the first derivative of the tangent stiffness matrix of element e, K ∼ T e, with respect to λ for the special case of a co-rotational beam element.

In the frame of the FEM, K ∼ T is obtained by assembling the element tangent stiffness matrices K ∼ T e, e = 1, 2, …, M, i.e., (13) K ∼ T = ∑ e = 1 M A eT · K ∼ T e · A e where M denotes the number of elements, and A e is the connectivity matrix of element e.

Instead, they reproduced a homogeneous matrix of elements.

Note that the notation τ − β represents the matrix of elements 1 / τ i j β.

where J ˜ τ β represents the matrix of elements J ˜ i j τ i j β, 2. ∥ J ˜ ∥ L 2 ( Ω 2, R p × p ) < min i l i,  .

Let (mathfrak {q}= (q_{ij})_{i, j in mathbb {I}}) be a matrix of elements in (mathbb {k}^{times }) such that (q_{ii} ne 1) for all (iin mathbb {I}).

The RAS method can be used for decomposition and mechanical updating of a matrix, whereby "R" stands for the diagonal matrix of elements modifying rows, "A" is the matrix to be updated and "S" is the diagonal matrix of column modifiers, hence "RAS".

The stiffness and mass matrices of elements are obtained by Carrera's Unified Formulation (CUF).

Let A be a finite alphabet, and let (A^{omega times omega }) be the space of all infinite to right and down two-dimensional matrices of elements of A, i.e., arrays of the form begin{aligned} a=left( begin{array}{c@{quad }c@{quad }c}a_{11} & a_{12} & cdots a_{21} & a_{22} & cdots vdots & vdots & ddots end{array}right).