QUASICONFORMAL SOLUTIONS OF POISSON EQUATIONS

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

Applied Mathematics and Computation ◽

10.1016/0096-3003(88)90110-5 ◽

1988 ◽

Vol 25 (2) ◽

pp. 123-135 ◽

Cited By ~ 2

Author(s):

Saulo R.M. Barros

Keyword(s):

Unit Disk ◽

Poisson Equation ◽

Polar Coordinates ◽

Multigrid Solver ◽

The Poisson Equation

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Numerical solutions to the Poisson equation in media surrounding multiple arbitrarily shaped bodies

10.32469/10355/12185 ◽

2010 ◽

Author(s):

Zebadiah M. Smith

Keyword(s):

Poisson Equation ◽

Numerical Solutions ◽

The Poisson Equation

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Solvability of one nonlocal Dirichlet problem for the Poisson equation

Novi Sad Journal of Mathematics ◽

10.30755/nsjom.08942 ◽

2019 ◽

Vol 50 (1) ◽

pp. 67-88

Author(s):

Batirkhan Turmetov ◽

Valery Karachik

Keyword(s):

Dirichlet Problem ◽

Poisson Equation ◽

The Poisson Equation

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Application of p-Multigrid to Discontinuous Galerkin Formulations of the Poisson Equation

AIAA Journal ◽

10.2514/1.15497 ◽

2006 ◽

Vol 44 (3) ◽

pp. 566-575 ◽

Cited By ~ 32

Author(s):

Brian T. Helenbrook ◽

H. L. Atkins

Keyword(s):

Discontinuous Galerkin ◽

Poisson Equation ◽

The Poisson Equation

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Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.07.006 ◽

2015 ◽

Vol 275 ◽

pp. 375-381 ◽

Cited By ~ 4

Author(s):

Carmen Calvo-Jurado ◽

Juan Casado-Díaz ◽

Manuel Luna-Laynez

Keyword(s):

Poisson Equation ◽

Perforated Domains ◽

Dirichlet Conditions ◽

The Poisson Equation

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A spectral Monte Carlo method for the Poisson equation

Monte Carlo Methods and Applications ◽

10.1515/mcma.2004.10.3-4.275 ◽

2004 ◽

Vol 10 (3-4) ◽

Cited By ~ 4

Author(s):

Emmanuel Gobet ◽

Sylvain Maire

Keyword(s):

Monte Carlo ◽

Monte Carlo Method ◽

Poisson Equation ◽

The Poisson Equation

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The Poisson Equation with Nonautonomous Semilinear Boundary Conditions in Domains with Many Time Holes

SIAM Journal on Mathematical Analysis ◽

10.1137/0522079 ◽

1991 ◽

Vol 22 (5) ◽

pp. 1222-1245 ◽

Cited By ~ 9

Author(s):

Satoshi Kaizu

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

The Poisson Equation

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Minimal positive stencils in meshfree finite difference methods for the Poisson equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.09.001 ◽

2008 ◽

Vol 198 (3-4) ◽

pp. 592-601 ◽

Cited By ~ 26

Author(s):

Benjamin Seibold

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

Finite Difference Methods ◽

The Poisson Equation ◽

Difference Methods

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Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation

Science China Mathematics ◽

10.1007/s11425-012-4384-0 ◽

2012 ◽

Vol 55 (5) ◽

pp. 1083-1098 ◽

Cited By ~ 13

Author(s):

JianGuo Huang ◽

YiFeng Xu

Keyword(s):

Poisson Equation ◽

Arbitrary Order ◽

The Poisson Equation ◽

Mixed Element

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Lattice sums arising from the Poisson equation

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/46/11/115201 ◽

2013 ◽

Vol 46 (11) ◽

pp. 115201 ◽

Cited By ~ 9

Author(s):

D H Bailey ◽

J M Borwein ◽

R E Crandall ◽

I J Zucker

Keyword(s):

Poisson Equation ◽

Lattice Sums ◽

The Poisson Equation

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