An arbitrary high-order discontinuous Galerkin method with local time-stepping for linear acoustic wave propagation

2021 ◽  
Vol 149 (1) ◽  
pp. 569-580
Author(s):  
Huiqing Wang ◽  
Matthias Cosnefroy ◽  
Maarten Hornikx
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Local Time ◽  
Discontinuous Galerkin Method ◽  
High Order ◽  
Acoustic Wave Propagation ◽  
Time Stepping ◽  
Local Time Stepping

scholarly journals Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwellʼs equations

2014 ◽  
Vol 256 ◽  
pp. 678-695 ◽  
Author(s):  
L.D. Angulo ◽  
J. Alvarez ◽  
F.L. Teixeira ◽  
M.F. Pantoja ◽  
S.G. Garcia
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Local Time ◽  
Discontinuous Galerkin Method ◽  
Time Stepping ◽  
Local Time Stepping ◽  
Causal Path

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.

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