Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: In this work, we develop and analyze solvers and preconditioners designed for the implicit time integration of discontinuous Galerkin (DG) discretizations. The discontinuous Galerkin method …
Year:: 2018
Contributor:: Pazner, Will (creator); Shu, Chi-Wang (Advisor); Persson, Per-Olof (Reader); Guzmán, Johnny (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: discontinous Gakerkin method; preconditioners; time integration; Computational science and engineering
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

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