Sentence examples for finite element matrices from inspiring English sources

The weak form of the mechanical equilibrium equations is then written and used to express the finite element matrices.

Following this the Carrera Unified Formulation was used to derive finite element matrices in terms of fundamental nuclei which consist of 3 × 3 arrays.

The computational efficiency is also enhanced by the use of Morse technique for the storage of finite element matrices and Preconditioned Conjugate Gradient method for the solution of the finite element equations.

Such parameterisation scheme enables to perform iterative model updating, sensitivity analyses and uncertainty propagation analyses at a moderate computational cost since re-actualisation of the nominal global finite element matrices is not required.

The variations of various field variables are assumed in the circumferential direction and the finite element matrices used in the numerical studies are based on the semi-analytical method.

This paper presents a method for decomposing the original finite element matrices into matrices which may be multiplied by shape change parameters to develop a model of the revised geometry.

The second series consists of computing a finite element matrix for a diffusion term.

The a priori pivoting is obtained by sorting the nodes prior to assembling the finite element matrix.

For the homogenized beam the 12 × 12 finite element matrix, consisting of the effective linearized stiffness and consistent mass inertia terms, is established.

Then a 3-dimensional finite element model for the equivalent system is transformed into the unitary space, where the large finite element matrix equation is decoupled into some small matrix equations.

However, in the context of implicit time-stepping methods, high-order finite elements present challenges to the construction of efficient simulations due to the high cost of inverting the denser finite element matrix.