Interface Evolution via aLeast-Square Velocity Extension: Application to Tumor Growth
碩士 === 國立臺灣大學 === 數學研究所 === 96 === The growth of tumor boundary is an unstable evolution process. In numerical simulation, the evolution of the boundary is technically very sensitive to its curvature, and causes numerical instability and incorrect calculation. In this paper, we propose a least-squar...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2008
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/18625497801897430560 |
| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 96 === The growth of
tumor boundary is an unstable evolution process. In numerical
simulation, the evolution of the boundary is technically very
sensitive to its curvature, and causes numerical instability and
incorrect calculation. In this paper, we propose a least-square
method for the extension of the boundary velocity. This extension,
together with the level set method, can compute a continuous model
for the tumor growth and achieve the second order accuracy.
|
|---|