Name
Title | ||
|---|---|---|
Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method |
Abstract | ||
|---|---|---|
Many applications lead to a nonlinear elliptic interface problem in which the discontinuous coefficient depends on the solution and the material properties. A finite difference method based on Cartesian grids and the maximum principle preserving immersed interface method is proposed for the nonlinear elliptic interface problems discussed in this paper. Numerical experiments against the exact solutions reveal that our method is nearly second order accurate in the infinity norm. The method is applied to study the magneto-rheological field-responsive fluids that contain iron particles. Numerical experiments are performed against the results from the literature. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1023/A:1025356025745 | J. Sci. Comput. |
Keywords | Field | DocType |
exact solution,maximum principle,material properties,level set method,iron,substitution method,second order,finite difference method | Exact solutions in general relativity,Mathematical optimization,Nonlinear system,Maximum principle,Mathematical analysis,Level set method,Finite difference method,Partial differential equation,Elliptic curve,Mathematics,Cartesian coordinate system | Journal |
Volume | Issue | ISSN |
19 | 1-3 | 1573-7691 |
Citations | PageRank | References |
4 | 0.72 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kazufumi Ito | 1 | 833 | 103.58 |
| Zhilin Li | 2 | 185 | 18.71 |