Mobility increases the capacity of ad hoc wireless networks
IEEE/ACM Transactions on Networking (TON)
Journal of Global Optimization
Geometry of information propagation in massively dense ad hoc networks
Proceedings of the 5th ACM international symposium on Mobile ad hoc networking and computing
Interperf '06 Proceedings from the 2006 workshop on Interdisciplinary systems approach in performance evaluation and design of computer & communications sytems
Computer Networks: The International Journal of Computer and Telecommunications Networking
Bits-per-Joule Capacity of Energy-Limited Wireless Networks
IEEE Transactions on Wireless Communications
Variational inequalities and discrete and continuum models of network equilibrium problems
Mathematical and Computer Modelling: An International Journal
The capacity of wireless networks
IEEE Transactions on Information Theory
An Aloha protocol for multihop mobile wireless networks
IEEE Transactions on Information Theory
Optimal deployment of large wireless sensor networks
IEEE Transactions on Information Theory
Continuum equilibria and global optimization for routing in dense static ad hoc networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Magnetworks: how mobility impacts the design of mobile ad hoc networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
Gauss-seidel correction algorithm: A macroscopic model-derived routing algorithm for WSNs
ACM Transactions on Sensor Networks (TOSN)
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We study the routing problem in massively dense static ad-hoc networks as the node density increases. We use a fluid approximation in which the graph providing the available routes becomes so dense that it can be approximated by a continuous area which inherits from the original problem the cost structure: a cost density is defined at each point on the limit plain; it is a function of the location and the congestion at that point. We solve numerically the routing problem for the case where the cost density is linear with respect to congestion and we obtain a result of convergence via Finite Elements Method.