Abstract
We consider an evolutionary quasi-variational inequality arising in a simplified model of a network of lakes and rivers forming upon a given relief of the Earth.We regularize this model and derive its finite element approximation, in which the water flow is confined to the mesh edges. The primal and mixed formulations of the discretized quasi-variational inequality are used in the numerical simulations. The corresponding steady state problems are also analyzed. Finally, we compare this approach to the lattice algorithms employed in geographic information systems for the automatic extraction of river networks from digital elevation data, and derive similar algorithms for our approximation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
