Discontinuous Galerkin Isogeometric Analysis for the biharmonic equation

被引：10
|
作者：
Moore, Stephen Edward [1 ]
机构：
[1] Katholische Hsch Gemeinde Diozese Linz, Petrinumstr 12-8, A-4040 Linz, Austria
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 76卷 / 04期
关键词：
Discontinuous Galerkin methods; Biharmonic equation; Isogeometric analysis; High order elliptic equations a priori error analysis; Multi-patches; INTERIOR PENALTY METHOD; FINITE-ELEMENT APPROXIMATIONS; BOUNDARY-VALUE-PROBLEMS; POLYGONAL DOMAINS; PLATES;
D O I：
10.1016/j.camwa.2018.05.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present and analyze an interior penalty discontinuous Galerkin Isogeometric Analysis (dG-IgA) method for the biharmonic equation in computational domain in R-d with d = 2, 3. The computational domain consists of several non-overlapping sub-domains or patches. We construct B-Spline approximation spaces which are discontinuous across patch interfaces. We present a priori error estimate in a discrete norm and numerical experiments to confirm the theory. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：673 / 685
页数：13
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