A time-domain Discontinuous Galerkin method for mechanical resonator quality factor computations

2012 ◽  
Vol 231 (19) ◽  
pp. 6380-6392 ◽  
Author(s):  
Sanjay Govindjee ◽  
Per-Olof Persson
Keyword(s):  
Galerkin Method ◽  
Quality Factor ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Time Domain ◽  
Mechanical Resonator

Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model

2019 ◽  
Vol 19 (2) ◽  
pp. 359-378
Author(s):  
Jichun Li ◽  
Chen Meng ◽  
Yunqing Huang
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Time Domain ◽  
Current Status ◽  
Optimal Convergence ◽  
Invisibility Cloak ◽  
Discrete Stability

AbstractIn this paper, we first give a quick review of the current status of the invisibility cloak with metamaterials. Then we focus on the carpet cloak model and establish an elegant stability different from our previous work. A similar discrete stability is also proved for a new FETD scheme. Then we prove the optimal convergence for this new scheme. Finally, we implement a new discontinuous Galerkin method and demonstrate its effectiveness in simulating the carpet cloaking phenomena.

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