The Immersed Interface Method: Numerical Solutions of PDEs Involving Interfaces and Irregular Domains

 Preface; Chapter 1: Introduction; Chapter 2: The IIM for One-Dimensional Elliptic Interface Problems; Chapter 3: The IIM for Two-Dimensional Elliptic Interface Problems; Chapter 4: The IIM for Three-Dimensional Elliptic Interface Problems; Chapter 5: Removing Source Singularities for Certain Interface Problems; Chapter 6: Augmented Strategies; Chapter 7: The Fourth-Order IIM; Chapter 8: The Immersed Finite Element Methods; Chapter 9: The IIM for Parabolic Interface Problems; Chapter 10: The IIM for Stokes and Navier−Stokes Equations; Chapter 11: Some Applications of the IIM; Bibliography; Index.