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We consider a simplified model of methane hydrates which we cast as a nonlinear evolution problem. For its well-posedness we extend the existing theory to cover the case in which the problem involvesâ€¦ (More)

We apply an inverse problem formulation to determine characteristics of a defect from a perturbed electromagnetic interrogating signal. A defect (crack) inside of a dielectric material causes aâ€¦ (More)

- H. T. Banks, Vrushali A. Bokil, Doina Cioranescu, Nathan L. Gibson, Georges Griso, Bernadette Miara
- J. Sci. Comput.
- 2006

In this paper we employ the periodic unfolding method for simulating the electromagnetic field in a composite material exhibiting heterogeneous microstructures which are described by spatiallyâ€¦ (More)

- H. T. Banks, Vrushali A. Bokil, Nathan L. Gibson, ZRpml ZRpml
- 2005

We consider an electromagnetic interrogation technique in two and three dimensions for identifying the dielectric parameters (including the permittivity, the conductivity and the relaxation time) ofâ€¦ (More)

- Nathan L. Gibson, Christopher Gifford-Miears, Arturo S. Leon, Veronika S. Vasylkivska
- Int. J. Comput. Math.
- 2014

Efficient computation of unsteady flow in complex river systems with uncertain inputs Nathan L. Gibson, Christopher Gifford-Miears, Arturo S. Leon & Veronika S. Vasylkivska a Department ofâ€¦ (More)

- H. T. Banks, Nathan L. Gibson
- Appl. Math. Lett.
- 2005

We present existence, uniqueness and continuous dependence (with respect to probability distributions on polarization parameters) of solutions in Maxwell systems. This provides a theoretical andâ€¦ (More)

- Duan Chen, Arturo S. Leon, Nathan L. Gibson, Parnian Hosseini
- 2015

1 Optimizing the operation of a multi-reservoir system is challenging due to the high dimension of 2 the decision variables that lead to a large and complex search space. A spectral optimization 3â€¦ (More)

- DANIELLE WEDDE, Nathan L. Gibson
- 2009

We investigate models which approximate frequency dependent dielectric permittivity. The Cole-Cole has been shown as an excellent approximation to true data for polydisperse materials, yetâ€¦ (More)

- Duan Chen, Arturo S. Leon, Parnian Hosseini, Nathan L. Gibson, Claudio Fuentes
- 2017

4 Operational objectives and/or constraints of a reservoir system may need to be shifted at certain 5 periods (i.e. transition periods) due to seasonal considerations of human interest and ecologicalâ€¦ (More)