期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 32, 期 6, 页码 3170-3200出版社
SIAM PUBLICATIONS
DOI: 10.1137/090780122
关键词
reduced basis; a posteriori error estimation; Greedy sampling; h-type; p-type; hp convergence; parameter domain decomposition
资金
- Norwegian University of Science and Technology [FA 9550-07-1-0425, FA 9550-09-1-0613]
We present a new hp parameter multidomain certified reduced basis (RB) method for rapid and reliable online evaluation of functional outputs associated with parametrized elliptic partial differential equations. We propose, and provide theoretical justification for, a new procedure for adaptive partition (h-refinement) of the parameter domain into smaller parameter subdomains: we pursue a hierarchical splitting of the parameter (sub) domains based on proximity to judiciously chosen parameter anchor points within each subdomain. Subsequently, we construct individual standard RB approximation spaces (p-refinement) over each subdomain. Greedy parameter sampling procedures and a posteriori error estimation play important roles in both the h-type and p-type stages of the new algorithm. We present illustrative numerical results for a convection-diffusion problem: the new hp-approach is considerably faster (respectively, more costly) than the standard p-type reduced basis method in the online (respectively, offline) stage.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据