Additive Schwarz preconditioners for a localized orthogonal decomposition method

Electronic Transactions on Numerical Analysis

article

Susanne C. Brenner¹  José C. Garay¹  Li-yeng Sung¹ 

[1] Department of Mathematics and Center for Computation & Technology, Louisiana State University

关键词: multiscale;    localized orthogonal decomposition;    domain decomposition;    additive Schwarz;   

DOI  :  10.1553/etna_vol54s234

学科分类：数学（综合）

来源: Kent State University * Institute of Computational Mathematics

【 摘 要 】

We investigate a variant of the localized orthogonal decomposition method (Henning and Peterseim, [Multiscale Model. Simul., 11 (2013), pp. 1149–1175] and Målqvist and Peterseim, [Math. Comp., 83 (2014), pp. 2583–2603]) for elliptic problems with rough coefficients. The construction of the basis of the multiscale finite element space is based on domain decomposition techniques, which is motivated by the recent work of Kornhuber, Peterseim, and Yserentant [Math. Comp., 87 (2018), pp. 2765–2774]. We also design and analyze additive Schwarz domain decomposition preconditioners for the resulting discrete problems.

【 授权许可】

Unknown