正则化无网格法
接口(物质)
数学
有限元法
功能(生物学)
跳跃
边界(拓扑)
边值问题
集合(抽象数据类型)
应用数学
无网格法
理论(学习稳定性)
数学分析
算法
奇异边界法
计算机科学
边界元法
最大气泡压力法
程序设计语言
并行计算
气泡
物理
机器学习
热力学
生物
进化生物学
量子力学
作者
Qiushuo Qin,Lina Song,Fan Liu
标识
DOI:10.1016/j.camwa.2022.11.020
摘要
This article presents a meshless method to solve three-dimensional elliptic interface problem. The method is based on the generalized finite difference method, which expresses the derivatives of unknown variables by linear combinations of nearby function values. The proposed method turns the interface problem into some boundary value sub-problems coupled by the interface conditions. This conversion leads to an important feature, that is, the proposed method is not sensitive to the jump coefficients or the interface's geometry. It can handle different complex interfaces by only changing the level set function of the interface in the process. Several numerical examples with sufficient complexity verify the accuracy and stability of the method. For some given examples, the method is more accurate than the classical immersed finite element method.
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