The Shortley–Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions-Reference-Cited by-同舟云学术

The Shortley–Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions

Published:2010-05 Issue:10 Volume:229 Page:3675-3690
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Jomaa Z.,Macaskill C.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference27 articles.

1. Osculatory interpolation in the method of fundamental solution for nonlinear Poisson problems;Balakrishnan;J. Comput. Phys.,2001

2. Über die numerische Auflosung von randwert problem bei elliptischen partiellen differentialgleichungen;Batschelet;Z. Angew. Math. Phys.,1952

3. A second-order immersed interface technique for an elliptic Neumann problem;Bouchon;Numer. Methods Partial Differ. Equat.,2007

4. Approximation of solutions of mixed boundary value problems for Poisson’s equation by finite differences;Bramble;J. Assoc. Comput. Mach.,1965

5. A finite difference analogue of the Neumann problem for Poisson’s equation;Bramble;J. Soc. Indust. Appl. Math. Ser. B Numer. Anal.,1965

Cited by 29 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Numerical Study of the Poisson Equation with Arbitrary Domains Based on the Extrapolation Technique;Journal of Physics: Conference Series;2023-03-01

2. Optimal local truncation error method for solution of 2-D elastodynamics problems with irregular interfaces and unfitted Cartesian meshes as well as for post-processing;Mechanics of Advanced Materials and Structures;2023-01-15

3. Optimal local truncation error method for 2‐D elastodynamics problems on irregular domains and unfitted Cartesian meshes;International Journal for Numerical and Analytical Methods in Geomechanics;2022-09-13

4. The 10-th order of accuracy of ‘quadratic’ elements for elastic heterogeneous materials with smooth interfaces and unfitted Cartesian meshes;Engineering with Computers;2022-06-26

5. Optimal local truncation error method to solution of 2‐D time‐independent elasticity problems with optimal accuracy on irregular domains and unfitted Cartesian meshes;International Journal for Numerical Methods in Engineering;2022-03-06