等几何分析
数学
订单(交换)
数学分析
接口(物质)
应用数学
牙石(牙科)
有限元法
计算机科学
热力学
经济
并行计算
最大气泡压力法
气泡
财务
牙科
物理
医学
作者
Wenkai Hu,Jicheng Zhang,Xin Li
标识
DOI:10.1016/j.cam.2024.115792
摘要
Generalized isogeometric analysis (GIGA) enables accurate numerical solutions for interface problem with optimal convergence rates. However, the approach is not stable in terms of the spline functions’ degree and is not robust with the position of the interface. In this paper, we introduce a stable GIGA (SGIGA) through a specific modification of the enrichment space. We prove that SGIGA can retain optimal convergence rates, and provide necessary well-conditioning for arbitrary degree and arbitrary location of the interface. We validate the theoretical results in various illustrations and compare the method with the stable generalized finite element method and GIGA.
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