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From these studies, we can conclude that the strain gradient plays an important role in predicting fractures due to singular or non-singular stress concentrations and in assessing the size effect observed in experimental studies.
Our preliminary numerical results show that one can capture the effects due to both spatial heterogeneities in the coefficients (such as permeability field) and source terms (e.g., due to singular well terms) in one iteration.
We present a numerical method for the solution of the Navier Stokes equations in three dimensions that handles interfacial discontinuities due to singular forces and discontinuous fluid properties such as viscosity and density.
It relies on a particular choice of integral equation, extended as to separate ill-conditioning due to singular fields in corners from ill-conditioning due to interaction of clusters of well-conducting squares at large distances.
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Such singularities occur due to the singular nature of the fundamental solutions required by the BEM.
However, the application of this integral equation for source points nearly positioned may lead to the singularities on the final system of algebraic equations due to the singular nature of the fundamental solutions.
Due to their singular characteristics and nutrient availability, mangroves have a remarkable influence on microbial communities, and their activities are responsible for several processes in organic matter degradation and most of the carbon flow in their sediments (Holguin et al. 2001).
Plenty of other cities in the United States and abroad are, of course, interesting and beautiful, but I moved to LA due to its singular pre-apocalyptic strangeness.
Due to the singular features of underwater environments, feedback-based protocols like ARQ mechanisms are inconvenient.
However, due to the singular stress field at the interface, one could hardly obtain the correct stresses at the interface.
Due to the singular nature of our problem, this SNPO bifurcation is a bifurcation of canard cycles.
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CEO of Professional Science Editing for Scientists @ prosciediting.com