Boundary Integral Equations on Uubounded Rough Surfaces: Fredholmness and the Finite Section Method

Journal of Integral Equations and Applications ◽

10.1216/jie-2008-20-1-13 ◽

2008 ◽

Vol 20 (1) ◽

pp. 13-48 ◽

Author(s):

S. N. Chandler-Wilde ◽

M. Lindner

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Rough Surfaces ◽

Boundary Integral ◽

Section Method ◽

Finite Section ◽

Finite Section Method

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On Asymptotic Behavior at Infinity and the Finite Section Method for Integral Equations on the Half-Line

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181075789 ◽

1994 ◽

Vol 6 (1) ◽

pp. 37-74 ◽

Author(s):

Simon N. Chandler-Wilde

Keyword(s):

Asymptotic Behavior ◽

Integral Equations ◽

Half Line ◽

Section Method ◽

Finite Section ◽

Finite Section Method

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Exact boundary integral equations for scattering of scalar waves from perfectly reflecting infinite rough surfaces

Wave Motion ◽

10.1016/j.wavemoti.2008.04.001 ◽

2008 ◽

Vol 45 (7-8) ◽

pp. 918-926 ◽

Author(s):

John A. DeSanto

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Rough Surfaces ◽

Boundary Integral ◽

Exact Boundary ◽

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A fast two-grid and finite section method for a class of integral equations on the real line with application to an acoustic scattering problem in the half-plane

Numerische Mathematik ◽

10.1007/bf02679436 ◽

2002 ◽

Vol 93 (1) ◽

pp. 1-51 ◽

Author(s):

Simon N. Chandler-Wilde ◽

Mizanur Rahman ◽

C. R. Ross

Keyword(s):

Integral Equations ◽

Real Line ◽

Scattering Problem ◽

Acoustic Scattering ◽

Section Method ◽

The Real ◽

Finite Section ◽

Finite Section 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 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Galerkin Scheme ◽

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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 ◽

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 ◽

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 ◽

Author(s):

S. Sauter ◽

A. Veit

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Compactly Supported ◽

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