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The immersed interface method : numerical solutions of PDEs involving interfaces and irregular domains

Author: Zhilin Li; Kazufumi Ito
Publisher: Philadelphia : SIAM, Society for Industrial and Applied Mathematics, ©2006.
Series: Frontiers in applied mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Zhilin Li; Kazufumi Ito
ISBN: 0898716098 9780898716092
OCLC Number: 64594525
Description: xvi, 332 pages : illustrations ; 26 cm.
Contents: 1. Introduction --
2. The IIM for one-dimensional elliptic interface problems --
3. The IIM for two-dimensional elliptic interface problems --
4. The IIM for three-dimensional elliptic interface problems --
5. Removing source singularities for certain interface problems --
6. Augmented strategies --
7. The fourth-order IIM --
8. The immersed finite element methods --
9. The IIM for parabolic interface problems --
10. The IIM for Stokes and Navier-Stokes equations --
11. Some applications of the IIM.
Series Title: Frontiers in applied mathematics.
Responsibility: Zhilin Li, Kazufumi Ito.
More information:

Abstract:

"The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains."

"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--Jacket.

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