Preasymptotic Error Analysis of High Order Interior Penalty Discontinuous Galerkin Methods for the Helmholtz Equation with High Wave Number

Yu Du; Lingxue Zhu

doi:10.1007/s10915-015-0074-8

Preasymptotic Error Analysis of High Order Interior Penalty Discontinuous Galerkin Methods for the Helmholtz Equation with High Wave Number

Journal of Scientific Computing ◽

10.1007/s10915-015-0074-8 ◽

2015 ◽

Vol 67 (1) ◽

pp. 130-152 ◽

Cited By ~ 4

Author(s):

Yu Du ◽

Lingxue Zhu

Keyword(s):

Error Analysis ◽

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Wave Number ◽

Galerkin Methods ◽

High Wave Number ◽

Interior Penalty ◽

High Wave

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Pre-asymptotic error analysis of hp-interior penalty discontinuous Galerkin methods for the Helmholtz equation with large wave number

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.06.007 ◽

2015 ◽

Vol 70 (5) ◽

pp. 917-933 ◽

Cited By ~ 7

Author(s):

Lingxue Zhu ◽

Yu Du

Keyword(s):

Error Analysis ◽

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Wave Number ◽

Galerkin Methods ◽

Large Wave ◽

Asymptotic Error ◽

Large Wave Number ◽

Asymptotic Error Analysis

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Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.09.019 ◽

2020 ◽

Vol 80 (12) ◽

pp. 2676-2690

Author(s):

Lina Zhao ◽

Eun-Jae Park ◽

Eric T. Chung

Keyword(s):

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Wave Number ◽

Galerkin Methods ◽

Large Wave ◽

Large Wave Number

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Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version

SIAM Journal on Numerical Analysis ◽

10.1137/120874643 ◽

2013 ◽

Vol 51 (3) ◽

pp. 1828-1852 ◽

Cited By ~ 44

Author(s):

Lingxue Zhu ◽

Haijun Wu

Keyword(s):

Error Analysis ◽

Helmholtz Equation ◽

Wave Number ◽

High Wave Number ◽

High Wave

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A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number

SIAM Journal on Numerical Analysis ◽

10.1137/120883451 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2166-2188 ◽

Cited By ~ 22

Author(s):

Huangxin Chen ◽

Peipei Lu ◽

Xuejun Xu

Keyword(s):

Helmholtz Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Wave Number ◽

High Wave Number ◽

High Wave ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number

Mathematics of Computation ◽

10.1090/s0025-5718-2012-02652-4 ◽

2012 ◽

Vol 82 (283) ◽

pp. 1269-1296 ◽

Cited By ~ 22

Author(s):

Xiaobing Feng ◽

Yulong Xing

Keyword(s):

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Wave Number ◽

Galerkin Methods ◽

Large Wave ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Large Wave Number

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Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. Part I: linear version

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt033 ◽

2013 ◽

Vol 34 (3) ◽

pp. 1266-1288 ◽

Cited By ~ 33

Author(s):

H. Wu

Keyword(s):

Error Analysis ◽

Helmholtz Equation ◽

Wave Number ◽

High Wave Number ◽

High Wave ◽

Asymptotic Error ◽

Linear Version ◽

Asymptotic Error Analysis

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Linear continuous interior penalty finite element method for Helmholtz equation With High Wave Number: One-Dimensional Analysis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22054 ◽

2016 ◽

Vol 32 (5) ◽

pp. 1378-1410 ◽

Cited By ~ 10

Author(s):

Erik Burman ◽

Haijun Wu ◽

Lingxue Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Dimensional Analysis ◽

Wave Number ◽

High Wave Number ◽

Interior Penalty ◽

High Wave ◽

One Dimensional ◽

Penalty Finite Element Method

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$hp$-Discontinuous Galerkin methods for the Helmholtz equation with large wave number

Mathematics of Computation ◽

10.1090/s0025-5718-2011-02475-0 ◽

2011 ◽

Vol 80 (276) ◽

pp. 1997-1997 ◽

Cited By ~ 60

Author(s):

Xiaobing Feng ◽

Haijun Wu

Keyword(s):

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Wave Number ◽

Galerkin Methods ◽

Large Wave ◽

Large Wave Number

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Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number

SIAM Journal on Numerical Analysis ◽

10.1137/080737538 ◽

2009 ◽

Vol 47 (4) ◽

pp. 2872-2896 ◽

Cited By ~ 82

Author(s):

Xiaobing Feng ◽

Haijun Wu

Keyword(s):

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Wave Number ◽

Galerkin Methods ◽

Large Wave ◽

Large Wave Number

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Continuous interior penalty nite element methods for Helmholtz equation with high wave number

Scientia Sinica Mathematica ◽

10.1360/012012-15 ◽

2012 ◽

Vol 42 (5) ◽

pp. 429-444 ◽

Cited By ~ 1

Author(s):

HaiJun WU

Keyword(s):

Helmholtz Equation ◽

Wave Number ◽

High Wave Number ◽

Interior Penalty ◽

High Wave ◽

Nite Element

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