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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	112-117
Number of pages	6
Journal	Applied Mathematics Letters
Volume	37
DOIs	https://doi.org/10.1016/j.aml.2014.06.001
Publication status	Published - Nov 2014
Externally published	Yes

Keywords

Bi-harmonic equation
Optimal penalty parameter
Pre-processing algorithm

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10.1016/j.aml.2014.06.001

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title = "Optimal penalty parameter for C0 IPDG",

abstract = "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.",

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

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

year = "2014",

month = nov,

doi = "10.1016/j.aml.2014.06.001",

language = "English",

volume = "37",

pages = "112--117",

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T1 - Optimal penalty parameter for C0 IPDG

AU - Ji, Xia

AU - Sun, Jiguang

AU - Yang, Yang

PY - 2014/11

Y1 - 2014/11

N2 - 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.

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

DO - 10.1016/j.aml.2014.06.001

M3 - Article

AN - SCOPUS:84903734702

SN - 0893-9659

VL - 37

SP - 112

EP - 117

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Optimal penalty parameter for C⁰ IPDG

Abstract

Keywords

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