A Global Galerkin Method for Solving the Exterior Neumann Problem for the Helmholtz Equation Using Panich's Integral Equation Approach

Andreas Kleefeld; Tzu-Chu Lin

doi:10.1137/120873066

A Global Galerkin Method for Solving the Exterior Neumann Problem for the Helmholtz Equation Using Panich's Integral Equation Approach

SIAM Journal on Scientific Computing ◽

10.1137/120873066 ◽

2013 ◽

Vol 35 (3) ◽

pp. A1709-A1735

Author(s):

Andreas Kleefeld ◽

Tzu-Chu Lin

Keyword(s):

Integral Equation ◽

Helmholtz Equation ◽

Galerkin Method ◽

Neumann Problem ◽

Equation Approach ◽

Integral Equation Approach

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A new integral equation approach to the Neumann problem in acoustic scattering

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.269 ◽

2001 ◽

Vol 24 (16) ◽

pp. 1247-1256

Author(s):

P. A. Krutitskii

Keyword(s):

Integral Equation ◽

Neumann Problem ◽

Acoustic Scattering ◽

Equation Approach ◽

Integral Equation Approach ◽

The Neumann Problem

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On an integral equation approach for the exterior Robin problem for the Helmholtz equation

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(87)90061-8 ◽

1987 ◽

Vol 126 (2) ◽

pp. 547-555 ◽

Cited By ~ 1

Author(s):

Tzu-Chu Lin

Keyword(s):

Integral Equation ◽

Helmholtz Equation ◽

Equation Approach ◽

Robin Problem ◽

Integral Equation Approach

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A proof for the Burton and Miller integral equation approach for the Helmholtz equation

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(84)90146-x ◽

1984 ◽

Vol 103 (2) ◽

pp. 565-574 ◽

Cited By ~ 8

Author(s):

Tzu-Chu Lin

Keyword(s):

Integral Equation ◽

Helmholtz Equation ◽

Equation Approach ◽

Integral Equation Approach

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AN INTEGRAL EQUATION APPROACH TO PHASE TRANSITIONS IN FERROFLUIDS

Le Journal de Physique Colloques ◽

10.1051/jphyscol:19888845 ◽

1988 ◽

Vol 49 (C8) ◽

pp. C8-1847-C8-1848

Author(s):

G. A. R. Martin ◽

A. Bradbury ◽

R. W. Chantrell

Keyword(s):

Integral Equation ◽

Phase Transitions ◽

Equation Approach ◽

Integral Equation Approach

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Elliptic estimates in composite media with smooth inclusions: an integral equation approach

Annales Scientifiques de l École Normale Supérieure ◽

10.24033/asens.2249 ◽

2015 ◽

Vol 48 (2) ◽

pp. 453-495 ◽

Cited By ~ 10

Author(s):

Habib Ammari ◽

Eric Bonnetier ◽

Faouzi Triki ◽

Michael Vogelius

Keyword(s):

Integral Equation ◽

Equation Approach ◽

Composite Media ◽

Integral Equation Approach ◽

Elliptic Estimates

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A Second-Kind Fredholm Integral-Equation Approach for Simple Low- and High-Frequency Solutions of the Perfectly-Conducting Circular Disk

2020 International Symposium on Electromagnetic Compatibility - EMC EUROPE ◽

10.1109/emceurope48519.2020.9245877 ◽

2020 ◽

Author(s):

G. Lovat ◽

P. Burghignoli ◽

R. Araneo ◽

L. Verolino

Keyword(s):

Integral Equation ◽

Fredholm Integral Equation ◽

High Frequency ◽

Circular Disk ◽

Equation Approach ◽

Integral Equation Approach

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On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2013.829467 ◽

2013 ◽

Vol 22 (1) ◽

pp. 130-149 ◽

Cited By ~ 9

Author(s):

Roman Chapko ◽

B. Tomas Johansson ◽

Yuriy Savka

Keyword(s):

Integral Equation ◽

Cauchy Problem ◽

Numerical Solution ◽

Laplace Equation ◽

Planar Domain ◽

Equation Approach ◽

Integral Equation Approach

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New Integral Equation Approach for a Curved Rigid Line Problem in an Infinite Plate

Journal of Applied Mechanics ◽

10.1115/1.3176160 ◽

1989 ◽

Vol 56 (3) ◽

pp. 729-730

Author(s):

Y. Z. Chen

Keyword(s):

Integral Equation ◽

Infinite Plate ◽

Equation Approach ◽

Rigid Line ◽

Integral Equation Approach

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Three-dimensional integral-equation approach to proton- and antiproton-hydrogen collisions

Physical Review A ◽

10.1103/physreva.80.022704 ◽

2009 ◽

Vol 80 (2) ◽

Cited By ~ 13

Author(s):

A. S. Kadyrov ◽

I. B. Abdurakhmanov ◽

I. Bray ◽

A. T. Stelbovics

Keyword(s):

Integral Equation ◽

Three Dimensional ◽

Equation Approach ◽

Integral Equation Approach ◽

Dimensional Integral

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Weaker singular integral equation approach for an oblique edge crack problem of half-plane

International Journal of Fracture ◽

10.1007/bf00040378 ◽

1995 ◽

Vol 72 (4) ◽

pp. R77-R80 ◽

Cited By ~ 1

Author(s):

Y. Z. Chen

Keyword(s):

Integral Equation ◽

Singular Integral Equation ◽

Half Plane ◽

Singular Integral ◽

Edge Crack ◽

Crack Problem ◽

Equation Approach ◽

Integral Equation Approach ◽

Edge Crack Problem

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