Weighted finite element method for the Stokes problem with corner singularity

作者：

Highlights：

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• An -generalized solution to the Stokes problem with corner singularity is introduced.

• The weighted analogue of the LBB condition is proved.

• A new weighted finite element method is constructed.

• An approximate solution converges to an exact one with rate in seminorm.

摘要

•An -generalized solution to the Stokes problem with corner singularity is introduced.•The weighted analogue of the LBB condition is proved.•A new weighted finite element method is constructed.•An approximate solution converges to an exact one with rate in seminorm.

论文关键词：65N30,65Z05,Stokes equations,Corner singularity,Weighted finite element method,Preconditioning

论文评审过程：Received 9 January 2017, Revised 12 February 2018, Available online 16 April 2018, Version of Record 26 April 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2018.04.014