scholarly journals Goal oriented error control for stationary incompressible flow coupled to a heat equation

PAMM ◽  
2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Sven Beuchler ◽  
Bernhard Endtmayer ◽  
Thomas Wick
Keyword(s):  
Heat Equation ◽  
Incompressible Flow ◽  
Error Control

scholarly journals Derivation of Second Order Partial Differential Equation Indicating Wave and Heat Equation through the Use of the Navier Stoke’s Equation for Unsteady and Incompressible Flow

2021 ◽  
Vol 2 (3) ◽  
pp. 19-21
Author(s):  
M. G. A. Hayder Chowdhury ◽  
N. Akhtar
Keyword(s):  
Differential Equation ◽  
Heat Equation ◽  
Incompressible Flow ◽  
Order Partial Differential Equation ◽  
Two Dimensional ◽  
Wave Mechanics ◽  
One Dimensional ◽  
Strong Relation ◽  
Dimensional Wave ◽  
Do So

In this paper, we have tried to approach the concepts of two-dimensional wave equation and one dimensional heat equation through the means of the Navier Stoke’s equation for unsteady and incompressible flow. Our pursuit to do so has been supported with ample justifications and analytic discussions. The strong relation shared by the fluid dynamics, wave mechanics and heat flow has been brought to light through our attempts.

scholarly journals Space‐time PU‐DWR error control and adaptivity for the heat equation

PAMM ◽  
2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Jan Philipp Thiele ◽  
Thomas Wick
Keyword(s):  
Heat Equation ◽  
Error Control ◽  
Space Time
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