速度場最小平方延拓的界面演進法：應用在腫瘤生長模擬

Abstract

腫瘤生長的邊界演進是個不穩定的過程。在數值模擬中，介面的演進對於自身的曲率通常相當敏感，因而導致了不正確的計算與不穩定性。在這篇論文中，我們提出一個奠基在最小平方法上的邊界速度延拓方法，這個方法搭配上等位函數法（Level set method），可以成功模擬連續的腫瘤生長模型，並達到二階精確度。

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.