Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: In this dissertation we propose, analyze and computationally implement finite element models to two different two-dimensional saddle point systems of partial differential equations with boundary …
Year:: 2022
Contributor:: Cáceres-Valenzuela, Ernesto David (creator); Guzmán, Johnny (Advisor); Shu, Chi-Wang (Reader); Barrenechea, Gabriel (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Finite element method
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: In this thesis, we investigate two applications of finite element methods that employ macro-elements: discrete elasticity sequences and convergence of Lagrange elements for a Maxwell …
Year:: 2023
Contributor:: Gong, Sining (creator); Guzmán, Johnny (Advisor); Shu, Chi-Wang (Reader); Neilan, Michael (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Finite element method
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The problem of forming exact sequences of finite element spaces that discretize Hilbert complexes is central to the finite element exterior calculus. This framework offers …
Year:: 2020
Contributor:: Lischke, Anna (creator); Guzman, Johnny (Advisor); Neilan, Michael (Reader); Shu, Chi-Wang (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Scientific Computation; Numerical analysis; Finite element method; Algebra, Homological
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This dissertation aims to study finite element methods for two-dimensional stationary second order interface model problems on homogeneous and heterogeneous media, under discretizations non-fitted with …
Year:: 2016
Contributor:: Sanchez, Manuel A (creator); Guzman, Johnny (Director); Ainsworth, Mark (Reader); Sarkis, Marcus (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: interface problems; Finite element method
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Finite element methods (FEMs) are used to discretize partial differential equations in a wide array of applications, including fluid flow, solid mechanics, electromagnetism, optimal control, …
Year:: 2022
Contributor:: Parker, Charles William (creator); Ainsworth, Mark (Advisor); Süli, Endre (Reader); Karniadakis, George (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Numerical analysis; preconditioners; Finite element method
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The finite element method (FEM) is an extremely successful approach to numerically approximating solutions to partial differential equations arising from many real-world scenarios. While the …
Year:: 2020
Contributor:: Jiang, Shuai (creator); Ainsworth, Mark (Advisor); Shu, Chi-Wang (Reader); Sarkis, Marcus (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: preconditioners; Finite element method
Collection:: Applied Mathematics; Theses and Dissertations

Full Record