An eigenvalue analysis for periodic boundary problems for Helmholtz' equation in 3D using the periodic FMM and SSM

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2016.29.4_310 ◽

2016 ◽

Vol 2016.29 (0) ◽

pp. 4_310

Author(s):

Takaya YAMAMOTO ◽

Kazuki NIINO ◽

Naoshi NISHIMURA

Keyword(s):

Helmholtz Equation ◽

Periodic Boundary ◽

Eigenvalue Analysis ◽

Boundary Problems

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Eigenvalue analysis with the boundary element method and the Sakurai-Sugiura method for periodic boundary value problems for Helmholtz' equation in 3D

2016 IEEE International Symposium on Antennas and Propagation (APSURSI) ◽

10.1109/aps.2016.7696082 ◽

2016 ◽

Author(s):

Takaya Yamamoto ◽

Kazuki Niino ◽

Naoshi Nishimura

Keyword(s):

Boundary Element Method ◽

Helmholtz Equation ◽

Boundary Value Problems ◽

Boundary Element ◽

Periodic Boundary ◽

Boundary Value ◽

Eigenvalue Analysis ◽

Periodic Boundary Value Problems ◽

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PERIODIC BOUNDARY PROBLEMS FOR SEMI LINEAR DEGENERATE EVOLUTION SYSTEMS OF HIGHER ORDER

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30648-9 ◽

1984 ◽

Vol 4 (2) ◽

pp. 129-137

Author(s):

Yulin Zhou ◽

Hongyuan Fu

Keyword(s):

Periodic Boundary ◽

Higher Order ◽

Boundary Problems ◽

Linear Degenerate ◽

Evolution Systems

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A new algorithm for moving boundary problems subject to periodic boundary conditions

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/09615530610636937 ◽

2006 ◽

Vol 16 (1) ◽

pp. 18-27 ◽

Author(s):

S.G. Ahmed

Keyword(s):

Boundary Conditions ◽

Periodic Boundary ◽

Moving Boundary ◽

Periodic Boundary Conditions ◽

Moving Boundary Problems ◽

Boundary Problems

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A more accurate direct method for the solution of boundary problems for the Helmholtz equation on a net of points in a rectangle

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(64)90017-5 ◽

1964 ◽

Vol 4 (4) ◽

pp. 208-211

Author(s):

S.V. Nemchinov ◽

S.L. Libov

Keyword(s):

Helmholtz Equation ◽

Direct Method ◽

Boundary Problems

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Effect on Spectral Properties by the Splitting Correction Preconditioning for Linear Systems that Arise from Periodic Boundary Problems

Enabling Society with Information Technology ◽

10.1007/978-4-431-66979-1_23 ◽

2002 ◽

pp. 234-243

Author(s):

Shoji Itoh ◽

Yoshio Oyanagi ◽

Shao-Liang Zhang ◽

Makoto Natori

Keyword(s):

Linear Systems ◽

Spectral Properties ◽

Periodic Boundary ◽

Boundary Problems

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On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation

Integral Equations and Operator Theory ◽

10.1007/s00020-020-2572-9 ◽

2020 ◽

Vol 92 (2) ◽

Author(s):

Rubén Aylwin ◽

Carlos Jerez-Hanckes ◽

José Pinto

Keyword(s):

Helmholtz Equation ◽

Periodic Boundary ◽

Integral Operators ◽

Boundary Integral ◽

Boundary Integral Operators

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A boundary element method for 1-periodic boundary value problems in 2D Helmholtz’ equation and its application

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2019.32.140 ◽

2019 ◽

Vol 2019.32 (0) ◽

pp. 140

Author(s):

Hiroya NAKASHIMA ◽

Hiroshi ISAKARI ◽

Toru TAKAHASHI ◽

Toshiro MATSUMOTO

Keyword(s):

Boundary Element Method ◽

Helmholtz Equation ◽

Boundary Value Problems ◽

Boundary Element ◽

Periodic Boundary ◽

Boundary Value ◽

Periodic Boundary Value Problems ◽

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An acceleration on the boundary element method for the 2D Helmholtz’ equation with doubly periodic boundary condition

The Proceedings of The Computational Mechanics Conference ◽

10.1299/jsmecmd.2017.30.079 ◽

2017 ◽

Vol 2017.30 (0) ◽

pp. 079

Author(s):

Mizuki KAMAHORI ◽

Hiroshi ISAKARI ◽

Toru TAKAHASHI ◽

Toshiro MATSUMOTO

Keyword(s):

Boundary Condition ◽

Boundary Element Method ◽

Helmholtz Equation ◽

Boundary Element ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

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Eigenvalue Analysis of Helmholtz Equation by Boundary Element Method. 2nd Report. Three-Dimensional Problem and Theoretical Investigation of Formulation.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.58.2934 ◽

1992 ◽

Vol 58 (554) ◽

pp. 2934-2938

Author(s):

Eiji ANDOH ◽

Kazuyoshi NOGAE ◽

Norio KAMIYA

Keyword(s):

Boundary Element Method ◽

Helmholtz Equation ◽

Boundary Element ◽

Theoretical Investigation ◽

Three Dimensional ◽

Eigenvalue Analysis ◽

Dimensional Problem ◽

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Solutions of the helmholtz equation, concentrated near a plane periodic boundary

Journal of Mathematical Sciences ◽

10.1007/bf02673850 ◽

2000 ◽

Vol 102 (4) ◽

pp. 4188-4194 ◽

Author(s):

V. Yu. Gotlib

Keyword(s):

Helmholtz Equation ◽

Periodic Boundary

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