Finite difference method and algebraic polynomial interpolation for numerically solving Poisson's equation over arbitrary domains
The finite difference method (FDM) based on Cartesian coordinate systems can be applied to numerical analyses over any complex domain. A complex domain is usually taken to mean that the geometry of an immersed body in a fluid is complex; here, it means simply an analytical domain of arbitrary config...
Main Author: | Tsugio Fukuchi |
---|---|
Format: | Article |
Language: | English |
Published: |
AIP Publishing LLC
2014-06-01
|
Series: | AIP Advances |
Online Access: | http://dx.doi.org/10.1063/1.4885555 |
Similar Items
-
Higher order difference numerical analyses of a 2D Poisson equation by the interpolation finite difference method and calculation error evaluation
by: Tsugio Fukuchi
Published: (2020-12-01) -
High-order accurate and high-speed calculation system of 1D Laplace and Poisson equations using the interpolation finite difference method
by: Tsugio Fukuchi
Published: (2019-05-01) -
Numerical calculation of fully-developed laminar flows in arbitrary cross-sections using finite difference method
by: Tsugio Fukuchi
Published: (2011-12-01) -
Vector interpolation polynomials over finite elements
by: Nassif, Nevine.
Published: (1984) -
A sharp inequality for Poisson's equation in arbitrary domains and its applications to Burgers' equation
by: Xie, Wenzheng
Published: (2011)