ℋ-matrices for Convection-diffusion Problems with Constant Convection

被引：0
|
作者：
Sabine Le Borne
机构：
[1] Tennessee Technological University Department of Mathematics Box 5054 Cookeville TN 38505 USA e-mail: sleborne@tntech.edu,
来源：
Computing | 2003年 / 70卷
关键词：
Mathematics Subject Classification: 65F05, 65F30, 65F50.; Keywords: Hierarchical matrices, data-sparse approximation, dominant convection;
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摘要：
∞-coefficients. This paper analyses the application of hierarchical matrices to the convection-dominant convection-diffusion equation with constant convection. In the case of increasing convection, the convergence of a standard ℋ-matrix approximant towards the original matrix will deteriorate. We derive a modified partitioning and admissibility condition that ensures good convergence also for the singularly perturbed case.
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页码：261 / 274
页数：13
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