Numerical modeling of active microcavities with piercing holes using the Muller boundary integral equations and the Galerkin method

2019 Days on Diffraction (DD) ◽

10.1109/dd46733.2019.9016540 ◽

2019 ◽

Cited By ~ 2

Author(s):

Alina O. Oktyabrskaya ◽

Alexander O. Spiridonov ◽

Evgenii M. Karchevskii

Keyword(s):

Numerical Modeling ◽

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

The Galerkin Method

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A Galerkin method for retarded boundary integral equations with smooth and compactly supported temporal basis functions

Numerische Mathematik ◽

10.1007/s00211-012-0483-7 ◽

2012 ◽

Vol 123 (1) ◽

pp. 145-176 ◽

Cited By ~ 17

Author(s):

S. Sauter ◽

A. Veit

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Compactly Supported ◽

Temporal Basis

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A fast spectral Galerkin method for hypersingular boundary integral equations in potential theory

Computational Mechanics ◽

10.1007/s00466-009-0373-8 ◽

2009 ◽

Vol 44 (2) ◽

pp. 263-271 ◽

Cited By ~ 8

Author(s):

Sylvain Nintcheu Fata ◽

Leonard J. Gray

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Potential Theory ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Spectral Galerkin Method

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A meshless Galerkin method for Stokes problems using boundary integral equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.04.009 ◽

2009 ◽

Vol 198 (37-40) ◽

pp. 2874-2885 ◽

Cited By ~ 41

Author(s):

Xiaolin Li ◽

Jialin Zhu

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Stokes Problems ◽

Meshless Galerkin Method

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A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations

SIAM Journal on Numerical Analysis ◽

10.1137/070703478 ◽

2008 ◽

Vol 46 (4) ◽

pp. 1965-1984 ◽

Cited By ~ 21

Author(s):

Haotao Cai ◽

Yuesheng Xu

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Singular Boundary

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A fast Galerkin method for parabolic space–time boundary integral equations

Journal of Computational Physics ◽

10.1016/j.jcp.2013.10.029 ◽

2014 ◽

Vol 258 ◽

pp. 15-30 ◽

Cited By ~ 9

Author(s):

Michael Messner ◽

Martin Schanz ◽

Johannes Tausch

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Space Time ◽

Boundary Integral ◽

Time Boundary

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A multiwavelet Galerkin method for Stokes problems using boundary integral equations

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2010.06.021 ◽

2010 ◽

Vol 34 (12) ◽

pp. 1009-1017 ◽

Cited By ~ 3

Author(s):

Maojun Li ◽

Jialin Zhu ◽

Xiaolin Li

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Stokes Problems

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A fast Fourier-Galerkin method solving boundary integral equations for the Helmholtz equation with exponential convergence

Numerical Algorithms ◽

10.1007/s11075-021-01082-0 ◽

2021 ◽

Author(s):

Ying Jiang ◽

Bo Wang ◽

Dandan Yu

Keyword(s):

Helmholtz Equation ◽

Galerkin Method ◽

Integral Equations ◽

Exponential Convergence ◽

Boundary Integral Equations ◽

Boundary Integral

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A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.034 ◽

2018 ◽

Vol 344 ◽

pp. 624-639 ◽

Cited By ~ 2

Author(s):

Haixia Dong ◽

Wenjun Ying ◽

Jiwei Zhang

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Interface Problems ◽

Elliptic Interface Problems ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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Boundary Integral Equations Combined with Orthogonality of Modes for Analysis of Two-Dimensional Optical Slab Waveguide: Single Mode Waveguide

IEICE Transactions on Electronics ◽

10.1587/transele.2020ecp5004 ◽

2021 ◽

Vol E104.C (1) ◽

pp. 1-10

Author(s):

Masahiro TANAKA

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Single Mode ◽

Boundary Integral ◽

Slab Waveguide ◽

Two Dimensional ◽

Single Mode Waveguide

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A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.020 ◽

2018 ◽

Vol 333 ◽

pp. 362-381 ◽

Cited By ~ 14

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Galerkin Scheme ◽

Radial Basis

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