Browsing by Author "Popov, Bojan"
Now showing items 1-20 of 29
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Clayton, Bennett Giles (2023-05-05)For many physical problems, robust numerical methods for solving the compressible Euler equations are essential. For the Euler equations to accurately describe the fluid behavior a suitable equation of state (EOS), which ...
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Halvic, Ian William (2018-05-04)Adjoint methods can provide a first-order approximation of the response a physical system experiences due to a perturbation in the system’s parameters. However, when applying the method to time dependent transport, memory ...
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Franklin, Andrew Mark (2020-06-04)Surface-to-surface, blackbody radiation heat transfer is a fundamental phenomena essential in the evaluation of some heat conduction problems. Representing it in digital simulations is of interest in the nuclear power ...
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Lam, Tak Cheung (2009-05-15)The prevalence of digital information management in an open network has driven the need to maintain balance between anonymity, authenticity and accountability (AAA). Anonymity allows a principal to hide its identity from ...
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Talavatifard, Habiballah (2013-05-06)A surface reconstruction and image enhancement non-linear finite element technique based on minimization of L1 norm of the total variation of the gradient is introduced. Since minimization in the L1 norm is computationally ...
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Salgado Gonzalez, Abner Jonatan (2011-10-21)We study approximation techniques for incompressible flows with heterogeneous properties. Speci cally, we study two types of phenomena. The first is the flow of a viscous incompressible fluid through a rigid porous ...
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Worley, Gregory (2010-07-14)This work presents a method for building a three-dimensional mesh from two- dimensional topologically identical layers, for use in aeroelastic simulations. The method allows modeling of large deformations of the wing in ...
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Yang, Yong (2016-06-13)The main purpose of this work is to study continuous finite element methods for hyperbolic problems. In scalar case, it is shown that using consistent mass matrix is not compatible with the maximum principle. Moreover, we ...
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Liu, Jiangguo; Popov, Bojan; Wang, Hong; Ewing, Richard E. (SIAM Journal on Numerical Analysis, 2005)
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Tomov, Vladimir (2014-04-18)In this dissertation we consider two major subjects. The primary topic is the Entropy Viscosity method for Lagrangian hydrodynamics, the goal of which is to solve numerically the Euler equations of compressible gas dynamics. ...
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Guermond, Jean-Luc; Popov, Bojan (SIAM Journal on Numerical Analysis, 2016)
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Moon, Minam (2015-06-05)This dissertation is devoted to the development, study and testing of numerical methods for elliptic and parabolic equations with heterogeneous coefficients. The motivation for this study is to meet the need for fast and ...
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Hua, Yuchen (2019-05-24)In this dissertation we develop high order invariant domain preserving schemes for general hyperbolic systems. The schemes are based on the general central schemes of formally second, third and fourth order accuracy. The ...
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Quezada De Luna, Manuel (2016-07-27)We develop numerical methods to solve the linear scalar conservation law fulfilling the maximum principle. To do this we use continuous and discontinuous Galerkin finite elements and achieve the preservation on the maximum ...
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Improved Quasi-Static Methods for Time-Dependent Neutron Diffusion and Implementation in Rattlesnake Prince, Zachary Merritt (2017-04-20)Transient reactor simulations are a chronically formidable challenge due to the computational rigor of evaluating the neutron transport equation, as well as its coupling with other physical phenomena. The goal of this ...
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Guermond, Jean-Luc; Popov, Bojan (SIAM Journal on Numerical Analysis, 2016)
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Guermond, Jean-Luc; Popov, Bojan (SIAM Journal on Numerical Analysis, 2009)
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Ghaddar, Tarek Habib (2016-04-26)When running any massively parallel code, load balancing is a priority in order to achieve the best possible parallel efficiency. A load balanced problem has an equal num-ber of degrees of freedom per processor. Load balancing ...
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Ji, Bingbing (2017-11-30)In order to find the first few unconstrained saddles of functionals with different types of variational structures, a new local minimax method (LMM), based on a dynamics of points on virtual geometric objects such as curves, ...
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Mesh independent convergence of modified inexact Newton methods for second order nonlinear problems Kim, Taejong (Texas A&M University, 2006-08-16)In this dissertation, we consider modified inexact Newton methods applied to second order nonlinear problems. In the implementation of Newton's method applied to problems with a large number of degrees of freedom, it is ...