A discontinuous Galerkin method to solve electromagnetic problems

2008 ◽  
Author(s):  
L. Pebernet ◽  
X. Ferrieres ◽  
S. Pernet ◽  
F. Rogier ◽  
P. Degond
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Electromagnetic Problems

scholarly journals A p-Strategy with a Local Time-Stepping Method in a Discontinuous Galerkin Approach to Solve Electromagnetic Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Benoit Mallet ◽  
Xavier Ferrieres ◽  
Sebastien Pernet ◽  
Jean-Baptiste Laurent ◽  
Bernard Pecqueux ◽  
...  
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Local Time ◽  
Discontinuous Galerkin Method ◽  
Computational Time ◽  
Electromagnetic Problems ◽  
Time Stepping ◽  
Local Time Stepping ◽  
The Time Domain ◽  
Spatial Approximation

We present a local spatial approximation or p-strategy Discontinuous Galerkin method to solve the time-domain Maxwell equations. First, the Discontinuous Galerkin method with a local time-stepping strategy is recalled. Next, in order to increase the efficiency of the method, a local spatial approximation strategy is introduced and studied. While preserving accuracy and by using different spatial approximation orders for each cell, this strategy is very efficient to reduce the computational time and the required memory in numerical simulations using very distorted meshes. Several numerical examples are given to show the interest and the capacity of such method.

SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

2013 ◽  
Vol 44 (3) ◽  
pp. 327-354
Author(s):  
Aleksey Igorevich Troshin ◽  
Vladimir Viktorovich Vlasenko ◽  
Andrey Viktorovich Wolkov
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Selection Of

Numerical Behavior of the Discontinuous Galerkin Method in Incompressible Fluid Flow Simulations for Low Reynolds Number

2017 ◽  
Author(s):  
Francisco Augusto Aparecido Gomes ◽  
Paulo Rogério Novak ◽  
Aureo Quintas Garcia ◽  
Mildred Ballin Hecke ◽  
Fernando José da Silva
Keyword(s):  
Reynolds Number ◽  
Fluid Flow ◽  
Incompressible Fluid ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Low Reynolds Number ◽  
Incompressible Fluid Flow ◽  
Flow Simulations ◽  
Low Reynolds
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