Regularization of boundary integral equations in the problems of wave field diffraction by curved boundaries

G. A. Maximov; D. N. Lesonen

doi:10.1134/1.1922547

Regularization of boundary integral equations in the problems of wave field diffraction by curved boundaries

Acoustical Physics ◽

10.1134/1.1922547 ◽

2005 ◽

Vol 51 (3) ◽

pp. 328-337

Author(s):

G. A. Maximov ◽

D. N. Lesonen

Keyword(s):

Wave Field ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Curved Boundaries

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Complete regularization of boundary integral equations in wave field diffraction problems on curved surfaces

The Journal of the Acoustical Society of America ◽

10.1121/1.4787729 ◽

2005 ◽

Vol 117 (4) ◽

pp. 2483-2483

Author(s):

German A. Maximov ◽

Dmitry N. Lesonen

Keyword(s):

Wave Field ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Curved Surfaces

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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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A study on boundary integral equations for dynamic elastoplastic analysis for the plane problem by TD-BEM

Acta Mechanica Sinica ◽

10.1007/s10409-020-01048-w ◽

2021 ◽

Author(s):

Hongjun Li ◽

Weidong Lei ◽

Rui Chen ◽

Qiang Hu

Keyword(s):

Integral Equations ◽

Plane Problem ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Elastoplastic Analysis

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Method of Boundary Integral Equations with Hypersingular Integrals in Boundary-Value Problems

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05475-3 ◽

2021 ◽

Author(s):

A. V. Setukha

Keyword(s):

Boundary Value Problems ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Value ◽

Boundary Integral ◽

Hypersingular Integrals

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Domain decomposition methods for boundary integral equations of the first kind: numerical results

Applicable Analysis ◽

10.1080/00036819608840498 ◽

1996 ◽

Vol 63 (1-2) ◽

pp. 111-132 ◽

Cited By ~ 3

Author(s):

Maischak Matthias ◽

Ernst P. Stephen ◽

Tran Thanh

Keyword(s):

Domain Decomposition ◽

Integral Equations ◽

Boundary Integral Equations ◽

Decomposition Methods ◽

Boundary Integral ◽

Numerical Results ◽

Domain Decomposition Methods

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Numerical solution of boundary integral equations by means of attenuation factors

IMA Journal of Numerical Analysis ◽

10.1093/imanum/20.1.25 ◽

2000 ◽

Vol 20 (1) ◽

pp. 25-46 ◽

Cited By ~ 1

Author(s):

M Reifenberg

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral

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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 direct boundary integral equations method to subsonic flow with circulation past thin airfoils in ground effect

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(94)00681-c ◽

1995 ◽

Vol 121 (1-4) ◽

pp. 163-176 ◽

Cited By ~ 8

Author(s):

Lazǎr Dragoş ◽

Adrian Dinu

Keyword(s):

Integral Equations ◽

Subsonic Flow ◽

Boundary Integral Equations ◽

Ground Effect ◽

Boundary Integral

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Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/15m102530x ◽

2016 ◽

Vol 48 (1) ◽

pp. 229-267 ◽

Cited By ~ 20

Author(s):

Dean Baskin ◽

Euan A. Spence ◽

Jared Wunsch

Keyword(s):

Helmholtz Equation ◽

Integral Equations ◽

High Frequency ◽

Boundary Integral Equations ◽

Boundary Integral

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