Efficient Ordinary Differential Equation-Based Discontinuous Galerkin Method for Viscoelastic Wave Modeling

2017 ◽  
Vol 55 (10) ◽  
pp. 5577-5584 ◽  
Author(s):  
Qiwei Zhan ◽  
Mingwei Zhuang ◽  
Qingtao Sun ◽  
Qiang Ren ◽  
Yi Ren ◽  
...  
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Wave Modeling ◽  
Viscoelastic Wave

Discontinuous Galerkin Method for Internal Thermal Radiation Problems

2003 ◽  
Author(s):  
X. Cui ◽  
B. Q. Li
Keyword(s):  
Heat Transfer ◽  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Radiation Heat Transfer ◽  
Radiation Heat ◽  
Integral Differential Equation

The internal thermal radiation phenomena are described by a first-order integral-differential equation, which poses an intrinsic problem for the popular diffusion-based Galerkin finite element method. By allowing for discontinuity across the internal inter-element boundaries, the finite element procedure can be adapted to solve the integral-differential equation. This paper discusses a numerical procedure based on the discontinuous Galerkin method for the solution of radiation heat transfer involving participating media. Detailed formulation using the discontinuous Galerkin method for internal radiation heat transfer calculations is given. The coupling of the method with the conventional finite element method for mixed heat transfer calculations is also presented.

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