Browsing by Author "Kazufumi Ito, Member"
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- A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh.(2016-07-25) Wang, Zhaohui; Zhilin Li, Chair; Xiao Lin, Member; Kazufumi Ito, Member; Donald Martin, Graduate School Representative; Hua Zhou, Member
- Adaptive Mesh Re finement Strategies for the Immersed Interface Method.(2013-02-08) Song, Peng; Zhilin Li, Chair; Negash Medhin, Member; Kazufumi Ito, Member; Huixia Wang, Minor
- An Application of a Reduced Order Computational Methodology for Eddy Current Based Nondestructive Evaluation Techniques(2001-06-11) Joyner, Michele Lynn; H.T. Banks, Chair; H.T. Tran, Member; Pierre A. Gremaud, Member; Kazufumi Ito, MemberIn the field of nondestructive evaluation, new and improved techniques are constantly being sought to facilitate the detection of hidden corrosion and flaws in structures such as airplanes and pipelines. In this dissertation, we explore the feasibility of detecting such damages by application of an eddy current based technique and reduced order modeling. We begin by developing a model for a specific eddy current method in which we make some simplifying assumptions reducing the three-dimensional problem to a two-dimensional problem. (We do this for proof-of-concept.) Theoretical results are then presented which establish the existence and uniqueness of solutions as well as continuous dependence of the solution on the parameters which represent the damage. We further discuss theoretical issues concerning the least squares parameter estimation problem used in identifying the geometry of the damage. To solve the identification problem, an optimization algorithm is employed which requires solving the forward problem numerous times. To implement these methods in a practical setting, the forward algorithm must be solved with extremely fast and accurate solution methods. Therefore in constructing these computational methods, we employ reduced order Proper Orthogonal Decomposition (POD) techniques which allows one to create a set of basis elements spanning a data set consisting of either numerical simulations or experimental data. We investigate two different approaches in forming the POD approximation, a POD/Galerkin technique and a POD/Interpolation technique. We examine the error in the approximation using one approach versus the other as well as present results of the parameter estimation problem for both techniques. Finally, results of the parameter estimation problem are given using both simulated data with relative noise added as well as experimental data obtained using a giant magnetoresistive (GMR) sensor. The experimental results are based on successfully using actual experimental data to form the POD basis elements (instead of numerical simulations) thus illustrating the effectiveness of this method on a wide range of applications. In both instances the methods are found to be efficient and robust. Furthermore, the methods were fast; our findings suggest a significant reduction in computational time.
- Approximate Solitons of the Landau-Lifshitz Equation(2015-05-05) Bookman, Lake Dawson; Mark Hoefer, Chair; Mansoor Haider, Member; Kazufumi Ito, Member; Daniel Stancil, Member
- Construction of Functions from Nonlinear Transformations.(2021-05-17) Woodstock, Zev; Patrick Combettes, Chair; Carl Kelley, Member; Kazufumi Ito, Member; Ryan Murray, Member; Eric Chi, Member
- A Dynamic Utility-Based Energy Manager for Wireless Sensor Networks.(2013-05-06) McClusky, Douglas R; Robert Fornaro, Chair; Mihail Sichitiu, Member; Wenye Wang, Member; Kazufumi Ito, Member; Suzanne Kennedy-Stoskopf, Member; Donald Bitzer, Member
- Information Fusion: Scaling Subspace-Driven Approaches.(2021-03-23) Ghanem, Sally Samir; Hamid Krim, Chair; Huaiyu Dai, Member; Brian Hughes, Member; Ryan A. Kerekes, Technical Consultant; Kazufumi Ito, Member
- Metric Entropy and Nonlinear Partial Differential Equations.(2021-04-01) Dutta, Prerona; Tien Khai Nguyen, Chair; Patrick Combettes, Member; Kazufumi Ito, Member; Ryan Murray, Member; Steven Hunter, Graduate School Representative
- Modeling of BK Virus Infection in Renal Transplant Recipients: Parameter Estimation, Kalman Filtering, and Receding Horizon Control.(2024-10-31) Droz, Dana Elizabeth; Hien Tran, Chair; Janice McCarthy, External; Ryan Murray, Member; Kevin Flores, Member; Kazufumi Ito, Member
- Nonlinear Feedback Controllers and State Estimators: Theory Applications, and Real-Time Implementation.(2020-05-11) King, Ethan Andrew; Hien Tran, Co-Chair; Tien Khai Nguyen, Co-Chair; Kazufumi Ito, Member; Jason King, Graduate School Representative; Kevin Flores, Member
- Optimal Filtering of Complex Turbulent Systems with Memory Depth through Consistency Constraints.(2012-03-27) Bakunova, Eugenia Stanislavovna; John Harlim, Chair; Hien Tran, Member; Kazufumi Ito, Member
- Perturbation Bootstrap in Regression.(2017-07-26) Das, Debraj; Soumendra Lahiri, Chair; Subhashis Ghoshal, Member; Howard Bondell, Member; Seth Sullivant, Graduate School Representative; Kazufumi Ito, Member
- A Quantum Monte Carlo Study of Atomic Fermi Gas.(2012-03-30) Li, Xin; Lubos Mitas, Chair; Dean Lee, Co-Chair; Thomas Schaefer, Member; Kazufumi Ito, Member
- Random Walk with Jump Dependent Cookies on Z.(2014-08-18) Jeeruphan, Thanawit; Min Kang, Chair; Kazufumi Ito, Member; Jack Silverstein, Member; Tao Pang, Member; Heike Inge Sederoff, Graduate School Representative
- Some Advances and Applications of Immersed Interface Methods.(2018-04-27) Chen, Xiaohong; Zhilin Li, Chair; Mansoor Haider, Member; Kazufumi Ito, Member; Donald Martin, Member
- Swing-up and Stabilization of a Single Inverted Pendulum: Real-Time Implementation(2015-03-25) Kennedy, Emese Agnes; Hien Tran, Chair; Stephen Campbell, Member; Kazufumi Ito, Member; Ralph Smith, Member; Denis Jackson, Graduate School Representative
- The Warped Resolvent of a Set-valued Operator: Theory and Applications.(2021-09-13) Bui, Minh Nhut; Patrick Combettes, Chair; Kazufumi Ito, Member; Ryan Murray, Member; Tien Khai Nguyen, Member; Jun Tsuji, Graduate School Representative; Reha Uzsoy, Member
- Virtual Reinforcement Learning for Balancing an Inverted Pendulum in Real Time.(2021-04-02) Bates, Dylan William Gordon; Hien Tran, Chair; Kevin Flores, Member; Kazufumi Ito, Member; Ryan Murray, Member; Matthew Koci, Graduate School Representative
