Sentence examples for finite element formula from inspiring English sources

A corresponding incremental finite element formula was derived in detail (Zhang et al. 2010).

The incremental finite element formula is solved with the well-known Newton Raphson iteration scheme.

We first introduce a simple finite element formula for the representation of the current density over each mesh element which is a straightforward implementation of (1f - 1g).

Then, the finite element formulae of this problem are obtained from Galerkin's method.

The stochastic finite element formulae are obtained by Neumann stochastic finite element method (NSFEM), and the stochastic finite element program is compiled by Matrix Laboratory (MATLAB) software.

This paper presents finite element formulae for calculating accurately the internal forces, namely bending moment and shear force, of Bernoulli Euler beams under moving vehicles.

In this paper, based on the governing differential equations of the problem of temperature field with phase change, the finite element formulae of this problem are obtained from Galerkin's method.

In this paper, based on the governing differential equations of the problem on temperature field with phase change, the finite element formulae of three-dimensional temperature fields are obtained from Galerkin's method.

By using the Kronecker product and the matrix and vector representations of fourth- and second-order tensors respectively, we obtain finite element formulas for the primal and sensitivity analyses that are succinct, can be readily programmed, and accommodate different element orders and topologies with minimal changes to the code.

According to the basal theories of heat transfer and seepage, considering the coupled effect of seepage field and temperature field, a three-dimensional calculational model of the coupled problem are given, and the finite element formulae are obtained by Galerkin's method, and the computer program is written.

In this paper, taking the coupled effects of moisture transfer and heat conduction into account, the finite element formulae of this problem with phase change are derived from the governing differential equations and moisture transfer equations using Galerkin's method and the software for computers is edited.