Adaptive numerical solution of a discontinuous Galerkin method for a Helmholtz problem in low-frequency regime

作者：

Highlights：

• We derive an a posteriori error estimator, that is reliable and locally quasi-efficient.

• The efficiency and reliability constants have been characterized with respect to the physical parameter ω.

• We include numerical examples that validate our theoretical results, recognizing singularities and inner layers, for moderate values of ω.

摘要

•We derive an a posteriori error estimator, that is reliable and locally quasi-efficient.•The efficiency and reliability constants have been characterized with respect to the physical parameter ω.•We include numerical examples that validate our theoretical results, recognizing singularities and inner layers, for moderate values of ω.

论文关键词：65N30,65N15,65N12,LDG,Helmholtz problem,Indefinite bilinear forms

论文评审过程：Received 24 October 2014, Revised 25 August 2015, Available online 14 January 2016, Version of Record 4 February 2016.

论文官网地址：https://doi.org/10.1016/j.cam.2015.12.024