A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains

2021 ◽  
pp. 110762
Author(s):  
Yiming Ren ◽  
Hongsong Feng ◽  
Shan Zhao
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Value Problems ◽  
Difference Method ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Irregular Domains ◽  
Elliptic Boundary Value ◽  
High Order Finite Difference

scholarly journals A finite difference method for a numerical solution of elliptic boundary value problems

2018 ◽  
Vol 3 (1) ◽  
pp. 311-320 ◽  
Author(s):  
P.K. Pandey ◽  
S.S.A. Jaboob
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Numerical Solution ◽  
Boundary Value Problems ◽  
Difference Method ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Dirichlet Boundary Conditions ◽  
Elliptic Boundary Value ◽  
Laplace Equations

AbstractIn this article, we have considered for numerical solution of a Poisson and Laplace equation in a domain. we have presented a novel finite difference method for solving the system of the boundary value problems subject to Dirichlet boundary conditions. We have derived the solution of the Poisson and Laplace equations in a two-dimensional finite region. We present numerical experiments to demonstrate the efficiency of the method.

Finite-difference and finite-element methods of approximation

1971 ◽  
Vol 323 (1553) ◽  
pp. 155-165 ◽  
Keyword(s):  
Finite Element ◽  
Finite Difference ◽  
Boundary Value Problems ◽  
Finite Element Methods ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Order Of Accuracy ◽  
Elliptic Boundary Value ◽  
Methods Of Approximation

The finite-difference and finite-element methods for approximating the solution of elliptic boundary-value problems are discussed. The analysis of the order of accuracy is outlined, and the results compared, with some comment on special problems connected with singularities.

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