bakhvalov型网格截断误差分析及障位函数技术

ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI:10.1553/etna_vol51s315

T. Nhan, R. Vulanović

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引用次数: 12

摘要

利用势垒函数技术证明了在bakhvalov型网格上离散的奇摄动对流扩散问题的参数一致收敛性。这是研究文献中第一次证明这种方法，障碍函数方法迄今为止只应用于shishkin型网格。

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Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh

We use a barrier-function technique to prove the parameter-uniform convergence for singularly perturbed convection-diffusion problems discretized on a Bakhvalov-type mesh. This is the first proof of this kind in the research literature, the barrier-function approach having only been applied so far to Shishkin-type meshes.

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ETNA - Electronic Transactions on Numerical Analysis

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