In this paper, we improve the MPFA discretization techniques for general quadrilateral grids, such that the above difficulties are handled to give a more robust discretization of the governing equations for fluid flow in porous media.
Varying stencil sizes and slope discontinuities in grid lines occur at the boundaries and corners of the six sectors of the cubed-sphere grid where the grid topology is unstructured, and these difficulties are handled naturally with high-order accuracy by the multidimensional least-squares based 3D CENO reconstruction with overdetermined stencils.
The difficulties is handling boundary conditions (inherent in the conventional approach), and the constraints of instantaneous gas solid equilibrium, are circumvented by adopting the latter model.
This difficulty was handled in practice by placing the relational arguments outside the formal structure of syllogistic which formed the framework of a science.
The second difficulty is handled by combining model-based prediction of experiments with a weighted random sampling of the experimental space, where the distribution for the random sample is biased toward the unsampled regions of the space.
However, this difficulty is handled automatically in a similar situation for the spectral analysis of heart rate recordings where gaps occur due to technical problems or are introduced to eliminate periods of anomalous heartbeats for separate consideration.
For the subsection "Using MRI Data for Clinical Prediction" (which covered research efforts [11] and [10]), the difficulty is handling the Big Volume of the high-resolution MRI data.
These difficulties could be handled more appropriately by the prediction models based on the LWIR soil spectra.
Once these difficulties have been handled, it is indeed possible to consider electromagnetism in the Aharonov-Bohm effect as faithfully represented at a time by a set of intrinsic properties of loops in space (or more generally space-time).
These difficulties can be handled by using the more feasible, quasi-experimental stepped wedge design [ 42, 43], with gradual implementation of the intervention in the workplaces.
An article concerning a company's financial difficulty must be handled very carefully, with a sense of balance, because of its potential to inflict great harm upon the subject.
