The meshless local Petrov-Galerkin method for the analysis of heat conduction due to a moving heat source, in welding

2011 ◽  
Vol 50 (6) ◽  
pp. 984-992 ◽  
Author(s):  
M. Shibahara ◽  
S.N. Atluri
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Galerkin Method ◽  
Moving Heat Source

Calculating the multi-domain transient heat conduction with heat source problem by virtual boundary meshfree Galerkin method

2018 ◽  
Vol 74 (1) ◽  
pp. 465-479 ◽  
Author(s):  
Dong-Sheng Yang ◽  
Jing Ling ◽  
Hong-Ying Wang ◽  
Ting-Yi Chen ◽  
Yun-Dan Du ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Heat Source ◽  
Galerkin Method ◽  
Transient Heat Conduction ◽  
Virtual Boundary

scholarly journals PullbackD-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Danxia Wang ◽  
Jianwen Zhang ◽  
Yinzhu Wang
Keyword(s):  
Heat Source ◽  
Boundary Conditions ◽  
Galerkin Method ◽  
Existence And Uniqueness ◽  
Nonlinear Operator ◽  
Initial Conditions ◽  
Global Solutions ◽  
Absorbing Set ◽  
Moving Heat Source ◽  
Condition C

We consider the pullbackD-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary conditions and initial conditions. By prior estimates combined with some inequality skills, the existence of the pullbackD-absorbing set is obtained. By proving the properties of compactness about the nonlinear operatorg1(·),g2(·), and then proving the pullbackD-condition (C), the existence of the pullbackD-attractor of the equations previously mentioned is given.

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