Scalable two-level preconditioning and deflation based on a piecewise constant subspace for (SIP)DG systems for diffusion problems

作者：

Highlights：

• We consider a solver for the discontinuous Galerkin method.

• We use the Symmetric Interior Penalty variant.

• The deflated solver appears to be scalable.

• Our solver is independent of the jump in the coefficients.

摘要

•We consider a solver for the discontinuous Galerkin method.•We use the Symmetric Interior Penalty variant.•The deflated solver appears to be scalable.•Our solver is independent of the jump in the coefficients.

论文关键词：65F10,65N30,65N55,Two-level preconditioning,Deflation,Symmetric interior penalty Galerkin discretization,Conjugate gradient method,Diffusion problems

论文评审过程：Received 10 October 2012, Revised 28 May 2014, Available online 1 August 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.06.028