Optimal penalty parameter for C0 IPDG

Xia Ji; Jiguang Sun; Yang Yang

doi:10.1016/j.aml.2014.06.001

Optimal penalty parameter for C⁰ IPDG

Xia Ji, Jiguang Sun, Yang Yang^*

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

We derive the lower bound of the penalty parameter in the C⁰ IPDG for the bi-harmonic equation. Based on the bound, we propose a pre-processing algorithm. Numerical examples are shown to support the theory. In addition, we found that an optimal penalty does exist.

源语言	英语
页（从-至）	112-117
页数	6
期刊	Applied Mathematics Letters
卷	37
DOI	https://doi.org/10.1016/j.aml.2014.06.001
出版状态	已出版 - 11月 2014
已对外发布	是

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10.1016/j.aml.2014.06.001

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引用此

Ji, X., Sun, J., & Yang, Y. (2014). Optimal penalty parameter for C⁰ IPDG. Applied Mathematics Letters, 37, 112-117. https://doi.org/10.1016/j.aml.2014.06.001

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keywords = "Bi-harmonic equation, Optimal penalty parameter, Pre-processing algorithm",

author = "Xia Ji and Jiguang Sun and Yang Yang",

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AB - We derive the lower bound of the penalty parameter in the C0 IPDG for the bi-harmonic equation. Based on the bound, we propose a pre-processing algorithm. Numerical examples are shown to support the theory. In addition, we found that an optimal penalty does exist.

KW - Bi-harmonic equation

KW - Optimal penalty parameter

KW - Pre-processing algorithm

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U2 - 10.1016/j.aml.2014.06.001

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JO - Applied Mathematics Letters

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Optimal penalty parameter for C0 IPDG

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引用此

Optimal penalty parameter for C⁰ IPDG