A second-order-accurate symmetric discretization of the Poisson equation on irregular domains

Journal of Computational Physics

Volumn 176, Issue 1, 2002, Pages 205-227

  Gibou, Frederic ^b   Fedkiw, Ronald P ^b   Cheng, Li Tien ^a   Kang, Myungjoo ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Stanford University   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; NUMERICAL METHODS;

DIRICHLET BOUNDARY CONDITION; DISCRETIZATION MATRIX; DISCRETIZATIONS; IRREGULAR DOMAINS; NONSYMMETRIC; SECOND ORDERS; SECOND-ORDER ACCURACY; SIMPLE++; SYMMETRICS; VARIABLE COEFFICIENTS;

POISSON EQUATION;

EID: 0037050814     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6977     Document Type: Article

References (30)

1. The fast construction of extension velocities in level set methods
2. Variational algorithms and pattern formation in dendritic solidification
3. Analysis of a one-dimensional model for the immersed boundary method
4. A simple level set method for solving Stefan problems
5. Symmetric Spatial Discretization for Implicit Time Discretization of Stefan Type Problems
6. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (The ghost fluid method)
7. The ghost fluid method for deflagration and detonation discontinuities
8. An isobaric fix for the overheating problem in multimaterial compressible flows
9. Cartesian Grid Embedded Boundary Finite Difference Methods for Elliptic and Parabolic Differential Equations on Irregular Domains
10. A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
11. Analysis of the cell-centered finite volume method for the diffusion equation
12. A front-tracking method for dendritic solidification
13. A boundary condition capturing method for multiphase incompressible flow
14. Quantitative phase field modeling of dendritic growth in two and three dimensions
15. Computation of dendritic microstructures using a level set method
16. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
17. A fast iterative algorithm for elliptic interface problems
18. A boundary condition capturing method for Poisson's equation on irregular domains
19. A boundary condition capturing method for incompressible flame discontinuities
20. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
21. Numerical analysis of blood flow in the heart
22. Multiscale finite-difference-diffusion-Monte-Carlo method for simulating dendritic solidification
23. Computation of three dimensional dendrites with finite elements
24. Fast marching methods
25. Crystal growth and dendritic solidification
26. Efficient implementation of essentially non-oscillatory shock capturing schemes
27. A level set approach for computing solutions to incompressible two-phase flow
28. Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids