Sentence examples for both the spatial mesh from inspiring English sources

The results show that the number of iterations stays mostly constant as both the spatial mesh is refined and the angular resolution is increased.

Coupled with the local discontinuous Galerkin (LDG) spatial discretization, the fully discrete schemes are all high order accurate in both space and time, and stable numerically with the time step proportional to the spatial mesh size.

The spatial mesh scales with the third power of the system size, for the same resolution.

For improved accuracy the interdependence of the spatial mesh size and the time step size is taken into account by coupling spatial and temporal adaptation.

The prime merit of this new approximation is to provide a very efficient yet accurate solution to the linear transport equation by substantially reducing the spatial mesh size.

This equal arc length framework has the dual advantage of dynamically maintaining the spatial mesh and allowing efficient, implicit treatment of the stiffest terms in the dynamics.

The broadband incidence wavelength is set to λ = 700 1000 nm in step of 10 nm for Fig. 2 and 400 800 nm in step of 20 nm for Figs 4 and 8 where the spatial mesh size were set to 2 nm in XYZ dimension for Fig. 2 and 4 nm for Figs 4 and 8. Here, 2D IPA structure has edge angle of 54.7° corresponding to the c-Si (111) surface to the (100) and are densely packed without gap.

It allows variable time steps and the change of the spatial mesh from one time interval to the next, which can make this method suitable for numerical simulations on unstructured grids.

The method applies a curvature based error metric to locate the under and over resolved regions of a solution and this, in turn, is used to guide the refinement and coarsening of the spatial mesh.

In our algorithm the spatial mesh configuration can be defined in two different ways: either by an isoparametric approach that generates curved control volumes, or by a piecewise linear decomposition of each spatial control volume into simplex sub-elements.

We present analysis and numerical results that show the method is robust in the diffusion limit when the photon mean-free path is not resolved by the spatial mesh.