AN OVERVIEW OF THE IMMERSED INTERFACE METHOD AND ITS APPLICATIONS

By Zhilin Li. 2003

146 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c2d248dac183ba791d256c16e2d2372febb9bd76

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Zhilin Li
2. Anita T. Layton
3. Chao-An Lin
4. Gene J. W. Hou
5. Jin Wang
6. Ming-Chih Lai
7. Rajat Mittal
8. Kazufumi Ito

In Computational Theory and Mathematics

1. Ming-Chih Lai
2. Anita T. Layton
3. Shen-Wei Su
4. Kazufumi Ito
5. Gene J. W. Hou
6. Zhilin Li
7. Jin Wang
8. Chao-An Lin

In Mechanics of Materials

1. Ming-Chih Lai
2. Kazufumi Ito
3. Anita T. Layton
4. Chao-An Lin
5. Zhilin Li
6. J. Thomas Beale
7. Shen-Wei Su
8. Rajat Mittal

Citations in the corpus

• ON THE ACCURACY OF FINITE DIFFERENCE METHODS FOR ELLIPTIC PROBLEMS WITH INTERFACES (2006, background): “Communications in Applied Mathematics and Computational Science mathematical sciences publishers 1 Volume 1 No. 1 2006”
• A sharp interface immersed boundary method for compressible viscous flows (2007, background): “There are a number of different ways of making this determination including ray-tracing [30] and we will not go into the details of this process here.”
• A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources (2006, background): “It was introduced in [7] and a detailed overview can be found in [9].”
• Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “For comprehensive reviews on the immersed interface method, we refer to Li (2003) and Li and Ito (2006).”
• High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources (2006, background): “The reader is referred to a recent review [ 28 ] and references therein for more details about these applications.”
• An immersed boundary technique for simulating complex flows with rigid boundary (2007, methodology): “A recent review on the immersed interface method can be found in [15] by Li.”
• An augmented approach for Stokes equations with a discontinuous viscosity and singular forces (2007, methodology): “A simple smoothing method may introduce large errors, see [21] for a one-dimensional example there.”