A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits
Publication in refereed journal

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摘要In this paper we propose a novel staggered discontinuous Galerkin method for the Brinkman problem on general polygonal meshes. The proposed method is robust in the Stokes and Darcy limits, in addition, hanging nodes can be automatically incorporated in the construction of the method, which are desirable features in practical applications. There are three unknowns involved in our formulation, namely velocity gradient, velocity and pressure. Unlike the original staggered DG formulation proposed for the Stokes equations in Kim et al. (2013), we relax the tangential continuity of velocity and enforce different staggered continuity properties for the three unknowns, which is tailored to yield an optimal L-2 error estimates for velocity gradient, velocity and pressure independent of the viscosity coefficient. Moreover, by choosing suitable projection, superconvergence can be proved for L-2 error of velocity. Finally, several numerical results illustrating the good performances of the proposed method and confirming the theoretical findings are presented.
著者Lina Zhao, Eric Chung, Ming Fai Lam
期刊名稱Computer Methods in Applied Mechanics and Engineering
出版年份2020
月份6
卷號364
出版社Elsevier
文章號碼112986
國際標準期刊號0045-7825
電子國際標準期刊號1879-2138
語言美式英語

上次更新時間 2020-25-09 於 12:41