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Showing 1 to 3 of 3 for “"Nodal Discontinuous Galerkin"”.
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Unstructured Nodal Discontinuous Galerkin Method for Convection-Diffusion Equations Applied to Neutral Fluids and Plasmas
In recent years, the discontinuous Galerkin (DG) method has been successfully applied to solving hyperbolic conservation laws. Due to its compactness, high order accuracy, and versatility, the DG method has been extensively applied to convection-diffusion problems. In this dissertation, a numerical …
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Error analysis of higher order time-domain finite element methods for the one-dimensional Maxwell's equations
A well known nodal discontinuous Galerkin finite element method has been extended for higher order temporal accuracy using several schemes. While common in computational fluid dynamics, less research has been conducted with these methods for computational electromagnetics. A stabilized finite …
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Computational modeling and simulation of nonlinear electromagnetic and multiphysics problems
… plasma fluid equations, which are solved by a nodal discontinuous Galerkin time-domain (DGTD) method in three dimensions. The air breakdown during the HPM operation and the resulting plasma formation and shielding are modeled and simulated. Several important numerical issues in the simulation …