Browsing by Author "Lazarov, Raytcho"
Now showing items 1-20 of 80
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Jarrell, Joshua (2012-02-14)In this dissertation, we discuss an adaptive angular discretization scheme for the neutral-particle transport equation in three dimensions. We mesh the direction domain by dividing the faces of a regular octahedron into ...
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Stone, Joseph Carlyle (2009-05-15)The approaches for discretizing the direction variable in particle transport calculations are the discrete-ordinates method and function-expansion methods. Both approaches are limited if the transport solution is not ...
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Lau, Cheuk Yiu (2016-07-27)We present a new family of discrete-ordinates (Sn) angular quadratures based on discontinuous finite elements (DFEM) in angle. The angular domain is divided into spherical quadrilaterals (SQs) on the unit sphere surface. ...
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Wang, Yating (2018-05-24)Multiscale modeling of complex physical phenomena in many areas, including hydrogeology, material science, chemistry and biology, consists of solving problems in highly heterogeneous porous media. In many of these applications, ...
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Leung, Wing Tat (2017-07-18)Many problems in application involve media with multiple scale, for example, in composite materials, porous media. These problems are usually computationally challenging since fine grid computation is extremely expensive. ...
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Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems Zhao, Jun (Texas A&M University, 2004-09-30)In this dissertation we are concerned with the analysis of the finite element method for the time-dependent Maxwell interface problem when Nedelec and Raviart-Thomas finite elements are employed and preconditioning ...
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Ettehad, Mahmood (2013-03-14)This thesis is devoted to the numerical investigation of mechanical behavior of Dual phase (DP) steels. Such grade of advanced high strength steels (AHSS) is favorable to the automotive industry due the unique properties ...
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Le Gia, Quoc Thong (Texas A&M University, 2004-09-30)The theory of interpolation and approximation of solutions to differential and integral equations on spheres has attracted considerable interest in recent years; it has also been applied fruitfully in fields such as ...
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Ferguson, Lauren (2012-10-30)The classical theory of linear elastic fracture mechanics for a quasi-static crack in an infinite linear elastic body has two significant mathematical inconsistencies: it predicts unbounded crack-tip stresses and an ...
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Matula, Neil Roy (2020-03-17)This dissertation presents methods for the prediction of the rotordynamic coefficients of annular gas seals using computational fluid dynamics (CFD). Improvements to an in-house Navier–Stokes solver for the purpose of ...
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Eubanks, Travis Wayne (2011-08-08)This work describes the design and measurement of a compact bidirectional ultrawideband (UWB) modified equiangular spiral antenna with an integrated feed internally matched to a 50-Ohm microstrip transmission line. A UWB ...
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Vaquer, Pablo A (2016-12-13)The purpose of this study is to quantitatively compare the accuracy of radiation transport finite element methods which use a contiguous support to those which use a discontiguous support of the energy domain. The ...
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Terzioglu, Fatma (2018-02-16)In this dissertation, we focus on analytic and numerical inversion of an integral transform (cone or Compton transform) that maps a function to its integrals over conical surfaces with a weight equal to some power of the ...
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Ginting, Victor Eralingga (Texas A&M University, 2005-08-29)In this dissertation we develop and analyze numerical method to solve general elliptic boundary value problems with many scales. The numerical method presented is intended to capture the small scales effect on the ...
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Dechev, Damian (2010-07-14)Future space missions, such as Mars Science Laboratory, suggest the engineering of some of the most complex man-rated autonomous software systems. The present process-oriented certification methodologies are becoming ...
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Pasciak, Alexander Samuel (2009-05-15)There are two principal techniques for performing Monte Carlo electron transport computations. The first, and least common, is the full track-structure method. This method individually models all physical electron interactions ...
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Zhu, Lei (2009-05-15)In this thesis, we develop and test a fundamentally new linear-discontinuous least-squares (LDLS) method for spatial discretization of the one-dimensional (1-D) discrete-ordinates (SN) equations. This new scheme is based ...
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Krath, Elizabeth Hope (2021-04-01)This dissertation presents an efficient proper orthogonal decomposition (POD) based reduced-order model (ROM) for use in compressible fluid flows. The method is made efficient by rewriting the governing equations of fluid ...
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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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Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi (SIAM Journal on Numerical Analysis, 2014)