On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains

Frédéric Gibou; Chohong Min

doi:10.1016/j.jcp.2012.02.023

On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains

Journal of Computational Physics ◽

10.1016/j.jcp.2012.02.023 ◽

2012 ◽

Vol 231 (14) ◽

pp. 4531-4536 ◽

Cited By ~ 8

Author(s):

Frédéric Gibou ◽

Chohong Min

Keyword(s):

Poisson Equation ◽

Parallel Implementation ◽

Irregular Domains ◽

The Poisson Equation

Download Full-text

Fast parallel solution of the Poisson equation on irregular domains

Numerical Algorithms ◽

10.1007/bf02142698 ◽

1994 ◽

Vol 8 (2) ◽

pp. 347-362 ◽

Cited By ~ 1

Author(s):

Daeshik Lee

Keyword(s):

Poisson Equation ◽

Irregular Domains ◽

Parallel Solution ◽

The Poisson Equation

Download Full-text

A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains

Journal of Computational Physics ◽

10.1006/jcph.2001.6977 ◽

2002 ◽

Vol 176 (1) ◽

pp. 205-227 ◽

Cited By ~ 285

Author(s):

Frederic Gibou ◽

Ronald P. Fedkiw ◽

Li-Tien Cheng ◽

Myungjoo Kang

Keyword(s):

Poisson Equation ◽

Second Order ◽

Irregular Domains ◽

The Poisson Equation

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text