Sentence examples for finite element basis from inspiring English sources

Fig. 9 A piecewise-linear finite element basis function.

Two different semi-analytical solutions are established, by using the in-vacuum linear mode shapes of the beam and Hermitian finite element basis functions.

We use Galerkin's weighted residual method with finite element basis functions which are deployed on a mesh that deforms in proportion to the deformation of the free surface.

Also, contrary to conventional finite element basis functions, higher derivatives of the solution can be evaluated, as required, e.g., for deflection magnets.

The entropy generation terms are evaluated using finite element basis sets and the derivatives at particular nodes are estimated based on the functions within adjacent elements.

Both approaches start by dividing cut elements into interface-conforming subelements but differ in how they build the finite element basis on these subelements.

We consider this study as a step towards developing a robust and computationally efficient discretization of electronic structure calculations using the finite-element basis.

The approach employs a finite-element basis function and a finite-difference local mass balance, and is designed to reduce computational and storage requirements, while minimizing the mass balance error.

A comparative study of the computational efficiency of the proposed higher-order finite-element discretizations suggests that the performance of finite-element basis is competing with the plane-wave discretization for non-periodic local pseudopotential calculations, and compares to the Gaussian basis for all-electron calculations to within an order of magnitude.

In this paper, we propose a model's sparse representation based on reduced mixed generalized multiscale finite element (GMsFE) basis methods for elliptic PDEs with random inputs.

A formulation of Galerkin finite element with basis-spline functions on a hybrid sigma-pressure coordinate is presented to discretize the vertical terms of global Eulerian hydrostatic equations employed in a numerical weather prediction system, which is horizontally discretized with high-order spectral elements on a cubed sphere grid.