Mathematical Analysis on a Conforming Finite Element Scheme for Advection-Dispersion-Decay Equations on Connected Graphs

Author:

YOSHIOKA Hidekazu1,UNAMI Koichi1,FUJIHARA Masayuki1

Affiliation:

1. Graduate School of Agr., Kyoto University

Publisher

Japan Society of Civil Engineers

Reference44 articles.

1. 1) Salsa, S.: Partial differential Equations in Action, Springer, pp.431-529, 2009.

2. 2) Yoshioka, H., Unami, K., and Kawachi, T.: Partial differential equation model for spatially distributed statistics of contaminant particles in locally one-dimensional open channel networks, Proc. The Tenth International Conference on Hydroscience and Engineering, 24pp., 2012.

3. 3) Yoshioka, H., Unami, K., and Fujihara, M.: Internal boundary conditions for solute transport equations in locally one-dimensional open channel networks, Journal of Rainwater Catchment Systems, 19(2), pp.1-9, 2014.

4. 4) Ramirez, J.M.: Population persistence under advection-diffusion in river networks, J. Math. Biol., 65(5), pp.919-942, 2012.

5. 5) Sarhad, J., Carlson, R., and Anderson, K.E.: Population persistence in river networks, J. Math. Biol., 2014. DOI 10.1007/s00285-013-0710-6.

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