The phrase "periodic direction" is not commonly used in written English and may cause confusion
It could be used in contexts related to instructions or guidance that occur at regular intervals, but clarity is essential.
Example: "The periodic direction provided by the supervisor helped the team stay on track with the project timeline."
Alternatives: "regular guidance" or "scheduled instructions."
The Poisson solver presented here is restricted to problems with one uniform periodic direction.
The Bloch-Floquet boundary condition is applied along the periodic direction.
The spatial discretisation makes use of the wavelet method in the periodic direction and the spectral collocation Chebychev method in the non-periodic direction.
We propose a mixed method for solving the two-dimensional unsteady vorticity equations by using the Fourier-spectral approximation in the periodic direction and Chebyshev-spectral approximation in the non-periodic direction.
Typically, spectral discretization is used in the finite periodic direction and spatial discretization in the orthogonal direction.
Based on the different relations between the periodic direction and the coordinate system of the plate, three internal structure cases for the two-dimensional quasicrystal layer are considered.
The quadratic form is discretized by a mixed finite-element procedure in the radial direction and by Fourier modes in the periodic directions.
The lattice constants along the periodic directions and all the internal coordinates are optimized until the convergence of the force on each atom is less than 0.01 eV/Å.
We present a computationally efficient, adaptive solver for the solution of the Poisson and Helmholtz equation used in flow simulations in domains with combinations of unbounded and periodic directions.
Unit cell boundary conditions were imposed in the periodic directions of x and y, and the incident plane wave source is excited from the Zmax direction with the electric field polarized along the symmetry axis of the asymmetric dipole bars as shown in Fig. 1.
The resolution of the discrete Helmholtz problem is done by means of the diagonalisation technique in the non-periodic direction.
