h p -adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems
h p -adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems
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非平稳对流扩散问题的 h p 自适应间断伽辽金方法
DOI：
10.1016/j.camwa.2019.04.002
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发表时间：
2019
影响因子：
2.9
通讯作者：
Cangiani A
中科院分区：
文献类型：
--
作者：
Cangiani A
考虑各向异性单元，导出了线性非定常对流扩散初边值问题的内罚间断Galerkin（dG）空间离散和后向Euler时间离散的（L2（H1）+ L∞（L2））型模误差的后验误差估计.所提出的误差估计是用来驱动一个惠普-空间-时间自适应算法，其中定向网格细化是用来产生高度各向异性的元素能够准确地捕捉层。的HP-空间-时间自适应算法的性能进行评估，通过一些标准的测试问题，其特征在于由尖锐和/或移动层。
An a posteriori error estimator for the error in the (L 2 (H 1)+ L∞(L 2))-type norm for an interior penalty discontinuous Galerkin (dG) spatial discretisation and backward Euler temporal discretisation of linear non-stationary convection–diffusion initial/boundary value problems is derived, allowing for anisotropic elements. The proposed error estimator is used to drive an h p-space–time adaptive algorithm wherein directional mesh refinement is employed to give rise to highly anisotropic elements able to accurately capture layers. The performance of the h p-space–time adaptive algorithm is assessed via a number of standard test problems characterised by sharp and/or moving layers.