The Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2021.912194 ◽

2021 ◽

Vol 09 (12) ◽

pp. 3007-3018

Author(s):

Peng Guo

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions

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Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions

American Journal of Applied Mathematics ◽

10.11648/j.ajam.20150306.19 ◽

2015 ◽

Vol 3 (6) ◽

pp. 297 ◽

Author(s):

Benyam Mebrate

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Two Dimensional

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Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions

International Journal of Open Problems in Computer Science and Mathematics ◽

10.12816/0006149 ◽

2012 ◽

Vol 5 (4) ◽

pp. 171-195

Author(s):

H. Bennour ◽

M. S. Said

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions

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An efficient implementation of fourth-order compact finite difference scheme for Poisson equation with Dirichlet boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.02.022 ◽

2016 ◽

Vol 71 (9) ◽

pp. 1843-1860 ◽

Author(s):

Hanquan Wang ◽

Yong Zhang ◽

Xiu Ma ◽

Jun Qiu ◽

Yan Liang

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Poisson Equation ◽

Fourth Order ◽

Finite Difference Scheme ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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On the numerical solution of a two-dimensional Pucci's equation with Dirichlet boundary conditions: a least-squares approach

Comptes Rendus Mathematique ◽

10.1016/j.crma.2005.08.002 ◽

2005 ◽

Vol 341 (6) ◽

pp. 375-380 ◽

Author(s):

Edward J. Dean ◽

Roland Glowinski

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Least Squares ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Two Dimensional ◽

Least Squares Approach

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Discontinuous seismic horizon tracking based on a poisson equation with incremental dirichlet boundary conditions

2011 18th IEEE International Conference on Image Processing ◽

10.1109/icip.2011.6116436 ◽

2011 ◽

Author(s):

G. Zinck ◽

M. Donias ◽

S. Guillon ◽

O. Lavialle

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions

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Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.07.002 ◽

2013 ◽

Vol 37 (11) ◽

pp. 1331-1338 ◽

Author(s):

M.H. Heydari ◽

M.R. Hooshmandasl ◽

F.M. Maalek Ghaini ◽

F. Fereidouni

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Two Dimensional ◽

Legendre Wavelets

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Consistent Dirichlet boundary conditions for numerical solution of moving boundary problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.08.002 ◽

2009 ◽

Vol 59 (6) ◽

pp. 1337-1353 ◽

Author(s):

M.E. Hubbard ◽

M.J. Baines ◽

P.K. Jimack

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Dirichlet Boundary ◽

Moving Boundary ◽

Dirichlet Boundary Conditions ◽

Moving Boundary Problems ◽

Boundary Problems

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Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: an augmented Lagrangian approach

Comptes Rendus Mathematique ◽

10.1016/s1631-073x(03)00149-3 ◽

2003 ◽

Vol 336 (9) ◽

pp. 779-784 ◽

Author(s):

Edward J Dean ◽

Roland Glowinski

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Augmented Lagrangian ◽

Dirichlet Boundary ◽

Lagrangian Approach ◽

Dirichlet Boundary Conditions ◽

Two Dimensional ◽

Augmented Lagrangian Approach ◽

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The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2004.07.011 ◽

2005 ◽

Vol 202 (2) ◽

pp. 488-506 ◽

Author(s):

Z. Jomaa ◽

C. Macaskill

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Irregular Boundary ◽

The Poisson Equation

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Numerical solution of a two-dimensional Helmholtz equation with Dirichlet boundary conditions

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2021.1885815 ◽

2021 ◽

pp. 1-12

Author(s):

Saja J. Kahlaf ◽

Ali A. Mhassin

Keyword(s):

Boundary Conditions ◽

Helmholtz Equation ◽

Numerical Solution ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Two Dimensional

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