A note on the boundary integral equation method for the solutions of second order elliptic equations

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000004628 ◽

1985 ◽

Vol 26 (4) ◽

pp. 415-421 ◽

Author(s):

D. L. Clements ◽

M. Haselgrove ◽

D. M. Barnett

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Integral Equation ◽

Boundary Integral Equation ◽

Elliptic Equations ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Second Order Elliptic Equations

AbstractThe boundary integral equation method is obtained by expressing a solution to a particular partial differential equation in terms of an integral taken round the boundary of the region under consideration. Various methods exist for the numerical solution of this integral equation and the purpose of this note is to outline an improvement to one of these procedures.

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Frequency Domain Analysis for Hydrodynamic Responses of Floating Structure using Desingularized Indirect Boundary Integral Equation Method

Journal of the Society of Naval Architects of Korea ◽

10.3744/snak.2019.56.1.011 ◽

2019 ◽

Vol 56 (1) ◽

pp. 11-22 ◽

Author(s):

Seunghoon Oh ◽

Dongho Jung ◽

Seok-kyu Cho ◽

Bo-woo Nam ◽

Hong Gun Sung

Keyword(s):

Integral Equation ◽

Frequency Domain ◽

Boundary Integral Equation ◽

Integral Equation Method ◽

Domain Analysis ◽

Frequency Domain Analysis ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Floating Structure

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Bragg reflection in a fully nonlinear numerical wave tank based on boundary integral equation method

Ocean Engineering ◽

10.1016/j.oceaneng.2008.09.008 ◽

2008 ◽

Vol 35 (17-18) ◽

pp. 1800-1810 ◽

Author(s):

Hung-Jie Tang ◽

Chai-Cheng Huang

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Bragg Reflection ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Numerical Wave Tank ◽

Fully Nonlinear ◽

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A boundary integral equation method for dynamic crack problems

Engineering Fracture Mechanics ◽

10.1016/0013-7944(87)90145-7 ◽

1987 ◽

Vol 27 (3) ◽

pp. 269-277 ◽

Author(s):

J. Sládek ◽

V. Sládek

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Dynamic Crack ◽

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A boundary integral equation method for plate flexure with conditions inside the domain

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620171106 ◽

1981 ◽

Vol 17 (11) ◽

pp. 1647-1657 ◽

Author(s):

G. Bezine

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

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Analyzing irreversibilities in Stokes flows containing suspended particles using the traction boundary integral equation method

Engineering Analysis with Boundary Elements ◽

10.1016/s0955-7997(01)00024-8 ◽

2001 ◽

Vol 25 (4-5) ◽

pp. 249-257 ◽

Author(s):

Zhiwu Fang ◽

Andrea A. Mammoli ◽

Marc S. Ingber

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Integral Equation Method ◽

Suspended Particles ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

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Analysis of acoustic wave scattering by scatterers in layered media using the hybrid ray–mode (boundary integral equation) method

The Journal of the Acoustical Society of America ◽

10.1121/1.398106 ◽

1989 ◽

Vol 86 (3) ◽

pp. 1136-1142 ◽

Author(s):

I‐Tai Lu

Keyword(s):

Integral Equation ◽

Acoustic Wave ◽

Boundary Integral Equation ◽

Wave Scattering ◽

Layered Media ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Acoustic Wave Scattering

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A boundary integral equation method for nonlinear heat conduction problems with temperature-dependent material properties

International Journal of Heat and Mass Transfer ◽

10.1016/0017-9310(95)00167-0 ◽

1996 ◽

Vol 39 (4) ◽

pp. 823-830 ◽

Author(s):

Takanobu Goto ◽

Masaaki Suzuki

Keyword(s):

Integral Equation ◽

Heat Conduction ◽

Boundary Integral Equation ◽

Material Properties ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Nonlinear Heat Conduction ◽

Temperature Dependent

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An improved implementation of boundary integral equation method to compute two-dimensional magnetic field

IEEE Transactions on Magnetics ◽

10.1109/tmag.1978.1059964 ◽

1978 ◽

Vol 14 (5) ◽

pp. 470-472 ◽

Author(s):

B. Ancelle ◽

P. Rafinejad ◽

J. Sabonnadiere

Keyword(s):

Magnetic Field ◽

Integral Equation ◽

Boundary Integral Equation ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Two Dimensional

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A boundary integral equation method for the Stokes problem of multiparticle systems

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.858259 ◽

1992 ◽

Vol 4 (5) ◽

pp. 1074-1076 ◽

Author(s):

Fan Xijun ◽

Y. L. Yeow

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Stokes Problem ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Multiparticle Systems

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Indirect Boundary Integral Equation Method for the Cauchy Problem of the Laplace Equation

Journal of Scientific Computing ◽

10.1007/s10915-016-0308-4 ◽

2016 ◽

Vol 71 (2) ◽

pp. 469-498 ◽

Author(s):

Yao Sun

Keyword(s):

Integral Equation ◽

Cauchy Problem ◽

Boundary Integral Equation ◽

Laplace Equation ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

The Cauchy Problem

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