二维静电场问题的面片拼接等几何分析方法研究
王峰;周宜红;林皋;赵春菊;何卫平
【期刊名称】《电子学报》 【年(卷),期】2024(046)002
【摘要】Isogeometric analysis (IGA) based on the non-uniform rational B-splines (NURBS) realizes the unifica-tion of the geometric model,the computational model and adaptive mesh generation process in solving electrostatic prob-lems.However,IGA based on one single NURBS patch is difficult to deal with the non-convex electrostatic field with cor-ners and inhomogeneous electrostatic field because of limitation of the NURBS patch topology.In this paper,IGA based on the patch splicing is used to solve two-dimensional electrostatic problems of this kind while IGA extends from one single NURBS patch to multipatches.The control points and meshes of different patches must coincide on the interface,even after refinement.Due to lack of interpolation properties for the NURBS basis functions,Lagrange multiplier method is adopted to
deal
with
non-homogeneous
Dirichlet
boundary
conditions.Numerical examples are presented to show that modified multi-patch IGA can solve two-dimensional electrostatic problems of this kind well and possess the advantages of better conver-gence on a per-degree-of-freedom and high accuracy.%等几何分析方法在求解静电场问题时,实现了几何模型和计算模型的统一以及自适应网格划分过程,然而受制于
二维静电场问题的面片拼接等几何分析方法研究
