Multiscale hybridizable discontinuous Galerkin method for elliptic problems in perforated domains

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:365

Article

Cho, Kanghun¹  Moon, Minam² 

[1] Seoul Natl Univ, Dept Math, Seoul 08826, South Korea

[2] Korea Mil Acad, Dept Math, Seoul 01805, South Korea

关键词: Multiscale method;    Hybridizable discontinuous Galerkin;    Perforated domain;    Model reduction;   

DOI  :  10.1016/j.cam.2019.112346

来源: Elsevier

【 摘 要 】

We propose a multiscale hybridizable discontinuous Galerkin method in perforated domains. Perforations may have various shapes and sizes. Following Generalized Multiscale Finite Element method, local snapshot spaces are constructed by solving local spectral problems. Then multiscale finite element spaces for numerical traces are built on the coarse edges within the framework of hybridizable discontinuous Galerkin method. Some representative examples are presented to investigate numerical performance of the proposed method. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

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