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Penalty-Free Discontinuous Galerkin Methods for the Stokes and Navier-Stokes Equations
This thesis formulates and analyzes low-order penalty-free discontinuous Galerkin methods for solving the incompressible Stokes and Navier-Stokes equations. Some symmetric and non-symmetric discontinuous Galerkin methods ...
Cocircuits of vector matroids
In this thesis, I present a set covering problem (SCP) formulation of the matroid cogirth problem, finding the cardinality of the smallest cocircuit of a matroid. Addressing the matroid cogirth problem can lead to significantly ...
A coupled finite volume and discontinuous Galerkin method for convection-diffusion problems
This work formulates and analyzes a new coupled finite volume (FV) and discontinuous Galerkin (DG) method for convection-diffusion problems. DG methods, though costly, have proved to be accurate for solving convection-diffusion ...