Browsing UT Electronic Theses and Dissertations by Department "Computational Science, Engineering, and Mathematics"
Now showing items 1-20 of 179
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A new adaptive modeling of flow and transport in porous media using an enhanced velocity scheme
(2018-10-09)Multiscale modeling of subsurface flow and transport is a major area of interest in several applications including petroleum recovery evaluations, nuclear waste disposal systems, CO₂ sequestration, groundwater remediation ... -
A reacting jet direct numerical simulation for assessing combustion model error
(2021-03-12)The simulation of turbulent combustion systems is a vital tool in the design and development of new technologies for power generation, transportation, defense applications, and industrial heating. In an engineering design ... -
A review on constrained recurrent sparse auto-encoder
(2020-06-26)Sparse Dictionary Learning generates a sparse representation for images and signals along with a generalized learned dictionary. We examine closely to the constrained recurrent sparse auto-encoder (CRsAE) on its Encoder-Decoder ... -
A scalable hp-adaptive finite element software with applications in fiber optics
(2021-04-19)In this dissertation, we present a scalable parallel version of hp3D—a finite element (FE) software for analysis and discretization of complex three-dimensional multiphysics applications. The developed software supports ... -
Accelerating inverse solutions with machine learning and randomization
(2023-04-18)Inverse problems is a field of applied mathematics that finds wide application in both the scientific community and industry where the objective is to estimate some parameter of interest (PoI) from observations. These two ... -
Adaptive and weighted optimization for efficient and robust learning
(2022-08-12)Modern machine learning has made significant breakthroughs for scientific and technological applications and led to paradigm shifts in optimization and generalization theories. Adaptive and weighted optimization have become ... -
Adaptive finite elements for nonlinear transport equations
(2003-12)The a posteriori error analysis and estimation for conforming finite element approximation of stationary boundary value problems exhibiting certain classes of nonlinear reaction and nonlinear diffusion was investigated. ... -
Adaptive measure-theoretic parameter estimation for coastal ocean modeling
(2015-08)Since Hurricane Katrina (2005), there has been a marked increase in the quantity of field observations gathered during and after hurricanes. There has also been an increased effort to improve our ability to model hurricanes ... -
Adaptive multilevel solvers for the discontinuous Petrov–Galerkin method with an emphasis on high-frequency wave propagation problems
(2019-05)This dissertation focuses on the development of fast and efficient solution schemes for the simulation of challenging problems in wave propagation phenomena. In particular, emphasis is given on high frequency acoustic and ... -
Adaptive multiscale modeling of polymeric materials using goal-oriented error estimation, Arlequin coupling, and goals algorithms
(2008-05)Scientific theories that explain how physical systems behave are described by mathematical models which provide the basis for computer simulations of events that occur in the physical universe. These models, being only ... -
Advanced techniques for multi-source, multi-parameter, and multi-physics inverse problems
(2017-09-14)With the increase in compute power and the advent of the big data era, inverse problems have grown more complex, attempting to extract more information and to use more data. While this evolution manifests itself in multiple ... -
Advances towards a multi-dimensional discontinuous Galerkin method for modeling hurricane storm surge induced flooding in coastal watersheds
(2016-08)Coastal areas are regions of high population density and urbanization. These areas are highly vulnerable to inundation and flooding not only because of hurricane storm surge, but also because of the torrential rainfall ... -
An algorithm of a fully conservative volume corrected characteristics-mixed method for transport problems
(2009-12)A basic phenomenon modeled computationally is tracer transport in a flow field, such as in porous medium simulation. We analyze the stability and convergence of a fully conservative characteristic method, the Volume Corrected ... -
Analysis and numerical simulation of the diffusive wave approximation of the shallow water equations
(2008-08)In this dissertation, the quantitative and qualitative aspects of modeling shallow water flow driven mainly by gravitational forces and dominated by shear stress, using an effective equation often referred to in the ... -
Analysis, implementation, and verification of a discontinuous galerkin method for prediction of storm surges and coastal deformation
(2011-08)Storm surge, the pileup of seawater occurring as a result of high surface stresses and strong currents generated by extreme storm events such as hurricanes, is known to cause greater loss of life than these storms' associated ... -
Assessing GCM performance for use in greenhouse gas forced climate change predictions using multivariate empirical orthogonal functions
(2012-08)Due to factors such as spatial discretization and the parameterization of certain processes, the presence of bias in models of the Earth's atmosphere is unavoidable. Whether we are selecting a model to explain past phenomenon, ... -
Automated Prediction of Human Disease Genes
(2012-12)The completion of the human genome project has led to a flood of new genetic data, that has proved surprisingly hard to interpret. Network "guilt by association" (GBA) is a proven approach for identifying novel disease ... -
Bayesian inverse problems for quasi-static poroelasticity with application to ground water aquifer characterization from geodetic data
(2020-05-14)Effective and sustainable management of groundwater (GW) resources under the present unprecedented global-scale GW demand is a complex task that requires high fidelity models of the subsurface. The goal of our work is to ... -
Bayesian learning methods for potential energy parameter inference in coarse-grained models of atomistic systems
(2015-05)The present work addresses issues related to the derivation of reduced models of atomistic systems, their statistical calibration, and their relation to atomistic models of materials. The reduced model, known in the chemical ... -
Boundary/finite element meshing from volumetric data with applications
(2005)The main research work during my Ph.D. study is to extract adaptive and quality 2D (triangular or quadrilateral) meshes over isosurfaces and 3D (tetrahedral or hexahedral) meshes with isosurfaces as boundaries directly ...
