Finite difference method based on polynomial interpolation for solving Helmholtz equation

Journal of Physics Conference Series ◽

10.1088/1742-6596/2012/1/012072 ◽

2021 ◽

Vol 2012 (1) ◽

pp. 012072

Author(s):

Zihan Zhang ◽

Silong Fang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Polynomial Interpolation

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Finite Difference Method Based on Polynomial Interpolation for Solving Hard Acoustic Scattering Problems of the Helmholtz Equation

Advances in Applied Mathematics ◽

10.12677/aam.2021.108274 ◽

2021 ◽

Vol 10 (08) ◽

pp. 2639-2647

Author(s):

泽玉王

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Polynomial Interpolation ◽

Acoustic Scattering ◽

Scattering Problems ◽

Acoustic Scattering Problems

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Solving the Transmission Eigenvalue Problem of Helmholtz Equation by Finite Difference Method Based on Polynomial Interpolation

Advances in Applied Mathematics ◽

10.12677/aam.2020.912261 ◽

2020 ◽

Vol 09 (12) ◽

pp. 2236-2243

Author(s):

悠然李

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Eigenvalue Problem ◽

Helmholtz Equation ◽

Difference Method ◽

Polynomial Interpolation ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.03.046 ◽

2018 ◽

Vol 365 ◽

pp. 350-361 ◽

Author(s):

Zedong Wu ◽

Tariq Alkhalifah

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Dispersion Error

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A Highly Accurate Finite Difference Method with Minimum Dispersion Error for Helmholtz Equation

80th EAGE Conference and Exhibition 2018 ◽

10.3997/2214-4609.201801105 ◽

2018 ◽

Author(s):

Z. Wu ◽

T. Alkhalifah

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Dispersion Error

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Full-vectorial analysis of optical waveguides by the finite difference method based on polynomial interpolation

Chinese Physics ◽

10.1088/1009-1963/15/1/023 ◽

2006 ◽

Vol 15 (1) ◽

pp. 143-148 ◽

Author(s):

Xiao Jin-Biao ◽

Zhang Ming-De ◽

Sun Xiao-Han

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Optical Waveguides ◽

Polynomial Interpolation ◽

The Finite Difference Method

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A new 9-point sixth-order accurate compact finite-difference method for the Helmholtz equation

Journal of Sound and Vibration ◽

10.1016/j.jsv.2007.06.070 ◽

2007 ◽

Vol 307 (3-5) ◽

pp. 972-982 ◽

Author(s):

Majid Nabavi ◽

M.H. Kamran Siddiqui ◽

Javad Dargahi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Sixth Order ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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A Finite Difference Method with Optimized Dispersion Correction for the Helmholtz Equation

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXIV ◽

10.1007/978-3-319-93873-8_18 ◽

2018 ◽

pp. 205-213

Author(s):

Pierre-Henri Cocquet ◽

Martin J. Gander ◽

Xueshuang Xiang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Dispersion Correction

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Finite difference method and algebraic polynomial interpolation for numerically solving Poisson's equation over arbitrary domains

AIP Advances ◽

10.1063/1.4885555 ◽

2014 ◽

Vol 4 (6) ◽

pp. 060701 ◽

Author(s):

Tsugio Fukuchi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Algebraic Polynomial ◽

Polynomial Interpolation ◽

Poisson’S Equation ◽

Poisson's Equation

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A NEW FINITE DIFFERENCE METHOD FOR THE HELMHOLTZ EQUATION USING SYMBOLIC COMPUTATION

International Journal of Computational Engineering Science ◽

10.1142/s1465876303000739 ◽

2003 ◽

Vol 04 (01) ◽

pp. 121-144 ◽

Author(s):

LARRY A. LAMBE ◽

RICHARD LUCZAK ◽

JOHN W. NEHRBASS

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Symbolic Computation ◽

Difference Method

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A 27-point finite-difference method using a symmetric perfectly matched layer for the 3D Helmholtz equation

10.1190/segam2017-17690586.1 ◽

2017 ◽

Author(s):

Hyunseo Park ◽

Yoonseo Park ◽

Jaejoon Lee ◽

Changsoo Shin

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Perfectly Matched Layer

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