The Poisson equation on the unit disk: a multigrid solver using polar coordinates

1988 ◽  
Vol 25 (2) ◽  
pp. 123-135 ◽  
Author(s):  
Saulo R.M. Barros
Keyword(s):  
Unit Disk ◽  
Poisson Equation ◽  
Polar Coordinates ◽  
Multigrid Solver ◽  
The Poisson Equation

QUASICONFORMAL SOLUTIONS OF POISSON EQUATIONS

2015 ◽  
Vol 92 (3) ◽  
pp. 420-428 ◽  
Author(s):  
PEIJIN LI ◽  
JIAOLONG CHEN ◽  
XIANTAO WANG
Keyword(s):  
Unit Disk ◽  
Poisson Equation ◽  
Lipschitz Continuity ◽  
Poisson Equations ◽  
The Poisson Equation

The main aim of this paper is to establish the Lipschitz continuity of the $(K,K^{\prime })$-quasiconformal solutions of the Poisson equation ${\rm\Delta}w=g$ in the unit disk $\mathbb{D}$.

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