Browsing by Author "Bonito, Andrea"
Now showing items 1-20 of 26
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Bonito, Andrea; DeVore, Ronald A.; Nochetto, Ricardo H. (SIAM Journal on Numerical Analysis, 2013)
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Herring, James Dillon (2021-07-06)There is a need to improve the predictive capability of high-fidelity simulations of physical phenomena that include the transport of thermal radiation and/or other subatomic particles. There are many ingredients of improved ...
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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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Mah, Sangin (2021-04-24)Hypertension is a chronic disease that one has higher blood pressure than normal. Since it is highly related to cardiovascular diseases, which is the culprit of death over the world, it is important to study hypertension, ...
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Convergence and Optimality of Higher-Order Adaptive Finite Element Methods for Eigenvalue Clusters Bonito, Andrea; Demlow, Alan (SIAM Journal on Numerical Analysis, 2016)
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Dugan, Kevin (2013-06-21)The processes studied by nuclear engineers generally include coupled physics phenomena (Thermal-Hydraulics, Neutronics, Material Mechanics, etc.) and modeling such multiphysics processes numerically can be computationally ...
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Patty, Spencer (2017-07-12)The motion of a biological cell in liquid is a rich subject for modeling. In the early 1970’s, it was realized by Canham that biological vesicles with lipid bilayer membranes reach a steady state shape that minimizes ...
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Owen, Justin Ian (2019-09-03)The surface finite element method is an important tool for discretizing and solving elliptic partial differential equations on surfaces. Recently the surface finite element method has been used for computing approximate ...
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Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky (Mathematical Modelling and Numerical Analysis / Modélisation mathématique et analyse numérique, 2016)
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Srinivasan, Shriram (2013-11-01)The most interesting and technologically important problems in the study of flow through porous media involve very high pressures and pressure gradients in the flow do- main such as enhanced oil recovery and carbon dioxide ...
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German, Peter (2021-06-29)This work presents a model-order reduction approach for parametric multiphysics problems. The developed method utilizes the intrusive Proper Orthogonal Decomposition aided Reduced Basis technique (POD-RB) which builds ...
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Brysiewicz, Taylor Christian (2020-04-17)We develop a collection of numerical algorithms which connect ideas from polyhedral geometry and algebraic geometry. The first algorithm we develop functions as a numerical oracle for the Newton polytope of a hypersurface ...
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Lei, Wenyu (2018-05-22)The negative powers of an elliptic operator can be approximated via its Dunford-Taylor integral representation, i.e. we approximate the Dunford-Taylor integral with an exponential convergent sinc quadrature scheme and ...
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Wei, Peng (2019-06-24)In this work, we approximate a time-dependent problem with drift involving fractional powers of elliptic operators. The numerical scheme is based on an integral representation of the stationary problem at each time step. ...
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Lee, Sanghyun (2014-07-18)The Kaye effect is a fascinating phenomenon of a leaping shampoo stream which was first described by Alan Kaye in 1963 as a property of non-Newtonian fluid. It manifest itself when a thin stream of non-Newtonian fluid is ...
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Mai, Na (2015-05-01)There has been increasing interest in the archival literature devoted to the study of implicit constitutive theories for non-dissipative materials generalizing the classical Green and Cauchy notions of elasticity, and for ...
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Mustafa, Mazin Mohamed Musa (2019-07-11)The recent revolution in two-dimensional materials, such as graphene mono-layers, has attracted many researchers to investigate their properties and potential applications in different fields. The 2D materials are usually ...
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Alrashed, Fahad Saleh (2015-05-04)We study and implement methods to solve the variable density Navier-Stokes equations. More specifically, we study the transport equation with the level set method and the momentum equation using two methods: the projection ...
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Bonito, Andrea; Nochetto, Ricardo H. (SIAM Journal on Numerical Analysis, 2010)
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Wang, Fang (2014-06-26)An inverse problem reconstructs the unknown internal parameters of a subject based on collected data derived synthetically or from real measurements. Inverse problems often lack the well-posedness defined by J. Hadamard; ...