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  • Finite Element and Finite Difference Methods for Maxwell’s Equations in Metamaterials

    Creator:
    Stallcup, Isaac A.
    Abstract:
    In this thesis, we consider Maxwell's Equations and their numerical discretization using finite difference and finite element methods. We first describe Maxwell's equations in linear dielectrics and then present finite difference and finite element methods for this case. We then describe Maxwell's equations in linear metamaterials using the Lorentz and...
    Resource Type:
    Honors College Thesis
    Full Text:
    APPROVED: Vrushali Bokil, Mentor, representing Mathematics Nathan Gibson, Committee Member, representing

  • Automated model parameter extraction for noise coupling analysis in silicon substrates

    Creator:
    Peterson, Brett
    Abstract:
    An automated method, requiring the fabrication of a small set of test structures, efficiently extracts the coefficients of Z-parameter based macromodels. The extraction approach has been validated for both heavily and lightly doped substrates and can be applied to a variety of technologies. After the parameters of a macromodel have...
    Resource Type:
    Masters Thesis
    Full Text:
    truely grateful for the opportunities they have given me. I would also like to thank my GCR, Nathan

  • Local Existence for a Non-local Multi-Species Advection-Diffusion Equation with Newtonian Potential

    Creator:
    Radke, Zachary
    Abstract:
    In biological models, advection is inherently a non-local process. Coupled with diffusion, it typically models chemotaxis, which is the response of bacteria to the presence of some chemo attractant. For example, E. coli cells use their flagella to probe their surroundings to determine where they should move. The advection-diffusion equation...
    Resource Type:
    Masters Thesis
    Full Text:
    . Then we define the spaces Lp(Ω)and (Lp)N (Ω) to be • Lp(Ω) = {f : Ω → R : ∫ Ω |f(x) |p dx

  • Modeling and control of a biologically inspired compliant structure

    Creator:
    Ray, Cody W.
    Abstract:
    We hypothesize that the extraordinary maneuverability and efficiency of bats in flight are in part due to the compliant nature of their wing structures. We utilize the parameters of bat bones measured by biologists to create a biologically inspired model of a flapping system consisting of a rotating hub actuator...
    Resource Type:
    Masters Thesis
    Full Text:
    ) Lm: Length of the tip mass (m) m: Mass at tip of beam (x = L) (kg) f(t): Disturbance force upon

  • Operator Splitting for a Wildfire Model in a Heterogeneous Environment with a Surrogate Wind Velocity Field

    Creator:
    Pantuso, Nicholas M.
    Abstract:
    Living in the Pacific Northwest, we are acutely aware of the dangers posed by wildfires. Largely due to the worsening effects of climate change, this danger is only increasing. Along with causing property and economic damage to those communities affected by wildfires, exposure to the smoke generated by wildfires can...
    Resource Type:
    Masters Thesis
    Full Text:
    been possible without her. I would also like to thank my committee members: Dr. Nathan Gibson, Dr

  • Topological Design Considering Uncertainty and Hyperelasticity

    Creator:
    Pham, Trung
    Abstract:
    Topology optimization (TO) is a mathematical method to find the optimal size, shape and connectivity of a domain under specified conditions, and has had many applications in engineering design. However, challenges remain in realizing TO as an effective design tool for many design situations. Uncertainty is ubiquitous in nature and...
    Resource Type:
    Dissertation
    Full Text:
    (Chair), Dr. Matthew Campbell, Dr. Nathan Gibson, Dr. Onan Demirel, and Dr. Judy Liu−whose comments have

  • Energy-Aware Gossip Techniques for Wireless Broadcasting

    Creator:
    Li, Tingzhi
    Abstract:
    The current state of research on gossip techniques for wireless broadcasting is very limited because past research efforts have mostly focused on using gossip techniques for multicast communication. On the other hand, those research efforts that have focused on using gossip techniques for wireless broadcast communications ignore energy efficiency and...
    Resource Type:
    Masters Thesis
    Full Text:
    of gossip protocol, and denoted by f . Each time a node faces the decision of whether it should send

  • The implicit derivative matching technique for Maxwell's equations in complex heterogeneous media

    Creator:
    Kirk, Anna Rae
    Abstract:
    We construct an implicit derivative matching (IDM) technique for restoring the accuracy of the Yee scheme for Maxwell's equations in dispersive media with material interfaces in one dimension. We consider media exhibiting orientational polarization, which are represented using a Debye dispersive model, examples of which are water and living tissue....
    Resource Type:
    Masters Thesis
    Full Text:
    Dr. Nathan Gibson, Dr. Malgorzata Peszynska, and Dr. Molly Shor for serving on my committee

  • Analysis of fourth order numerical methods for the simulation of electromagnetic waves in dispersive media

    Creator:
    Henderson, Scott Edward
    Abstract:
    In this thesis, we investigate the problem of simulating Maxwell's equations in dispersive dielectric media. We begin by explaining the relevance of Maxwell's equations to 21st century problems. We also discuss the previous work on the numerical simulations of Maxwell's equations. Introductions to Maxwell's equations and the Yee finite difference...
    Resource Type:
    Masters Thesis
    Full Text:
    her guidance, this thesis would not be possible. I would also like to thank Dr. Nathan Gibson for his

  • Bi-level flexible-robust optimization for energy allocation problems

    Creator:
    Biswas, Arpan
    Abstract:
    A common problem in energy allocation problems is managing the trade-off between selling surplus energy to maximize short term revenue, versus holding surplus energy to hedge against future shortfalls. For energy allocation problems, this surplus represents resource flexibility and is quantified as the surplus energy after meeting the demand. The...
    Resource Type:
    Masters Thesis
    Full Text:
    (𝑄𝑜𝑢𝑡,𝑡, ℎ�̃�𝑡(𝐹�̃�𝑡, TWt), ξ𝑡) 14 𝑡=1 (1), (2) Where