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| The Immersed Interface Method. Numerical Solutions of PDEs involving Interfaces and Irregular Domains | Buy a book...
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| Author(s): | Z. Li and K. Ito |
| Publisher: | SIAM |
| ISBN: | 0898716098 |
| Format: | softback |
| 332pp | |
| Review Date: | 02 August 2006 |
| Review: | Interface problems arise in many applications. If partial or ordinary differential equations are used to model them, the parameters in the governing differential equations are typically discontinuous across the interface that separates them. For irregular domains, such as water flowing through different objects (stones, sponges etc.) not only is the domain arbitrary but it also changes with time. This book describes the immersed interface method (IIM), which is used for interface problems and problems defined in irregular domains. There are chapters on: The IIM for 1-D, 2-D and 3-D elliptic interface problems; Removing singularities for certain interface problems; Augmented strategies; The 4th-order IIM; The immersed FE methods; The IIM for parabolic interface problems; The IIM for Stokes and Navier–Stokes equations; and Some applications of the IIM. |