Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems

被引：0
作者：
Bongsoo Jang
Hyunju Kim
Hae-Soo Oh
Sinae Kim
机构：
[1] Ulsan National Institute of Science and Technology,Department of Mathematical Sciences
[2] North Greenville University,Department of Mathematics
[3] University of North Carolina at Charlotte,Department of Mathematics and Statistics
来源：
Computational Mechanics | 2016年 / 58卷
关键词：
Boundary layer; B-spline; Partition of unity function with flat-top; Enriched PU-IGA; Enriched FEM; Galerkin method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The design basis functions on the reference domain in IGA are diversified and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) function with flat-top. These reconditioned and modified basis functions are pushed forward to the physical domain by the original design mapping for analysis. With this method, the corresponding stiffness matrix has a small bandwidth and local refinement is simple. Moreover, we construct the PU functions in the reference domain and then move them to a physical domain through a geometric mapping to be used for the generation of global basis functions on a physical domain. Therefore, we also have several advantages in calculating stiffness matrices and load vectors. Here we apply this method to various boundary layer problems.
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页码：1019 / 1038
页数：19
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