Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-IgA equations

被引：28
|
作者：
Hofer, Christoph [1 ]
Langer, Ulrich [1 ]
机构：
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Altenberger Str 69, A-4040 Linz, Austria
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 316卷
基金：
奥地利科学基金会;
关键词：
Diffusion problems; Heterogeneous diffusion coefficients; Isogeometric analysis; Domain decomposition; Discontinuous Galerkin; ETI-DP algorithms; BDDC PRECONDITIONERS; FINITE-ELEMENT;
D O I：
10.1016/j.cma.2016.03.031
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we consider a new version of the dual-primal isogeometric tearing and interconnecting (IETI-DP) method for solving large-scale linear systems of algebraic equations arising from discontinuous Galerkin (dG) isogeometric analysis of diffusion problems on multipatch domains with non-matching meshes. The dG formulation is used to couple the local problems across patch interfaces. The purpose of this paper is to present this new method and provide numerical examples indicating a polylogarithmic condition number bound for the preconditioned system and showing an incredible robustness with respect to large jumps in the diffusion coefficient across the interfaces. (C) 2016 Elsevier B.V. All rights reserved.
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页码：2 / 21
页数：20
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