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Numerical results reveal that the DGLM has a lower error constant than the FEM and outperforms it for both the advection-diffusion equation in the high Peclet number regime and the incompressible Navier-Stokes equations in the laminar flow regime.
Numerical results for the advection-diffusion equation demonstrating the benefits of the enrichment functions in overcoming oscillations by reducing the error constant while maintaining a high-order convergence will be presented.
In addition, the proposed estimator is shown to possess the same order of convergence and error constant as the exact local error, which demonstrates its accuracy.
Upon addition of PMMA to PVPh, the fraction of intra-associated OH bonds remains, within experimental error, constant whereas inter hydrogen bonds between PVPh and PMMA chains increase, resulting in a decrease in free OH groups.
The resulting boundary condition is verified for three different test cases: Taylor Couette flow in-between rotating cylinders, laminar flow around a cylinder and flow past an impulsively started cylinder, demonstrating its second order accuracy and low error constant.
Simple relationships among the parameters of this fractional controller are established and specifications such as the static error constant (kss), phase margin (φm) and gain crossover frequency (ωc) can be fulfilled, with a robustness argument by inspecting the flatness of phase Bode plot of the compensator.
Similar(41)
We also checked the subset for independence of the errors, constant variance of the errors and normality of the distribution of the errors.
We characterize the set of all functions Φ for which the variance error remains constant.
An approximate formula is given for the profile relief rendering transmission error nearly constant.
Both RAFcrystal and mobile amorphous fraction, MAF, were found within experimental error almost constant with filler loading.
It is shown that the set of all Φ for which the variance error remains constant can be characterized by the solutions of a Nevanlinna Pick interpolation problem.
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CEO of Professional Science Editing for Scientists @ prosciediting.com