6,680 research outputs found
Social Media Marketing Integration: Agile Project Management
The implementation of digital and social media strategies to currently existing marketing strategies requires extensive knowledge and expertise. Project management techniques and practices can be utilized to implement this change and determine its success. Because of the constantly evolving nature of social media marketing, an agile project management approach should be utilized to enhance chances of success. Social media marketing requires a thorough understanding of the target market and their behaviors on social media to deliver appropriate content utilizing the right mediums of communication. The ability to evaluate the success of a project and make changes as needed to meet the goals of the marketing strategies makes agile project management a suitable technique for implementing social media marketing
Rough solutions of the Einstein Constraint Equations on Asymptotically Flat Manifolds without Near-CMC Conditions
In this article we consider the conformal decomposition of the Einstein
constraint equations introduced by Lichnerowicz, Choquet-Bruhat, and York, on
asymptotically flat (AF) manifolds. Using the non-CMC fixed-point framework
developed in 2009 by Holst, Nagy, and Tsogtgerel and by Maxwell, we establish
existence of coupled non-CMC weak solutions for AF manifolds. As is the case
for the analogous existence results for non-CMC solutions on closed manifolds
and compact manifolds with boundary, our results here avoid the near-CMC
assumption by assuming that the freely specifiable part of the data given by
the traceless-transverse part of the rescaled extrinsic curvature and the
matter fields are sufficiently small. The non-CMC rough solutions results here
for AF manifolds may be viewed as extending to AF manifolds the 2009 and 2014
results on rough far-from-CMC positive Yamabe solutions for closed and compact
manifolds with boundary. Similarly, our results may be viewed as extending the
recent 2014 results for AF manifolds of Dilts, Isenberg, Mazzeo and Meier, and
of Holst and Meier; while their results are restricted to smoother background
metrics and data, the results here allow the regularity to be extended down to
the minimum regularity allowed by the background metric and the matter, further
completing the rough solution program initiated by Maxwell and Choquet-Bruhat
in 2004.Comment: 82 pages. Version 2 has minor changes reflecting comments and minor
typos fixed. Version 3 updates a bibliography entr
Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation
In this article we study adaptive finite element methods (AFEM) with inexact
solvers for a class of semilinear elliptic interface problems. We are
particularly interested in nonlinear problems with discontinuous diffusion
coefficients, such as the nonlinear Poisson-Boltzmann equation and its
regularizations. The algorithm we study consists of the standard
SOLVE-ESTIMATE-MARK-REFINE procedure common to many adaptive finite element
algorithms, but where the SOLVE step involves only a full solve on the coarsest
level, and the remaining levels involve only single Newton updates to the
previous approximate solution. We summarize a recently developed AFEM
convergence theory for inexact solvers, and present a sequence of numerical
experiments that give evidence that the theory does in fact predict the
contraction properties of AFEM with inexact solvers. The various routines used
are all designed to maintain a linear-time computational complexity.Comment: Submitted to DD20 Proceeding
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