A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains

Lexing Ying; George Biros; Denis Zorin

doi:10.1016/j.jcp.2006.03.021

A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains

Journal of Computational Physics ◽

10.1016/j.jcp.2006.03.021 ◽

2006 ◽

Vol 219 (1) ◽

pp. 247-275 ◽

Cited By ~ 68

Author(s):

Lexing Ying ◽

George Biros ◽

Denis Zorin

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

High Order ◽

Elliptic Pdes

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High-order polynomial interpolation in boundary integral equation analysis

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1640100208 ◽

1994 ◽

Vol 10 (2) ◽

pp. 167-178 ◽

Cited By ~ 2

Author(s):

S. P. Walker

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Polynomial Interpolation ◽

Boundary Integral ◽

High Order ◽

Equation Analysis ◽

Order Polynomial

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A coupling method of difference with high order accuracy and boundary integral equation for evolutionary equation and its error estimates

Applied Mathematics and Mechanics ◽

10.1007/bf02458254 ◽

1991 ◽

Vol 12 (9) ◽

pp. 891-905

Author(s):

Yang Dan-ping

Keyword(s):

Integral Equation ◽

Error Estimates ◽

Boundary Integral Equation ◽

Boundary Integral ◽

High Order ◽

Coupling Method ◽

High Order Accuracy ◽

Evolutionary Equation ◽

Order Accuracy

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High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium

Journal of Computational Physics ◽

10.1016/j.jcp.2015.05.034 ◽

2015 ◽

Vol 297 ◽

pp. 407-426 ◽

Cited By ~ 1

Author(s):

Alex H. Barnett ◽

Bradley J. Nelson ◽

J. Matthew Mahoney

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

High Frequency ◽

Wave Scattering ◽

Boundary Integral ◽

High Order ◽

Stratified Medium ◽

Frequency Wave ◽

Equation Solution ◽

High Frequency Wave

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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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 10

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 ◽

Numerical Wave

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Numerical analysis of doubly periodic array of cracks/rigid-line inclusions in an infinite isotropic medium using the boundary integral equation method

International Journal of Fracture ◽

10.1007/s10704-005-5993-1 ◽

2005 ◽

Vol 133 (4) ◽

pp. 389-405 ◽

Cited By ~ 14

Author(s):

C. Y. Dong ◽

Kang Yong Lee

Keyword(s):

Integral Equation ◽

Numerical Analysis ◽

Boundary Integral Equation ◽

Isotropic Medium ◽

Integral Equation Method ◽

Boundary Integral ◽

Periodic Array ◽

Equation Method ◽

Rigid Line ◽

Doubly Periodic Array

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Reconstruction of Internal Field of Dielectric Objects for Noninvasive SAR Measurement Using Boundary Integral Equation

IEEE Transactions on Electromagnetic Compatibility ◽

10.1109/temc.2018.2813398 ◽

2019 ◽

Vol 61 (1) ◽

pp. 48-56 ◽

Cited By ~ 3

Author(s):

Shuntaro Omi ◽

Toru Uno ◽

Takuji Arima ◽

Joe Wiart

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Internal Field ◽

Boundary Integral ◽

Dielectric Objects

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On the assessment of acoustic scattering and shielding by time domain boundary integral equation solutions

22nd AIAA/CEAS Aeroacoustics Conference ◽

10.2514/6.2016-2779 ◽

2016 ◽

Cited By ~ 10

Author(s):

Fang Q. Hu ◽

Michelle E. Pizzo

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Time Domain ◽

Domain Boundary ◽

Acoustic Scattering ◽

Boundary Integral

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Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties

Computational Mechanics ◽

10.1007/s004660050005 ◽

2000 ◽

Vol 24 (6) ◽

pp. 456-462 ◽

Cited By ~ 89

Author(s):

J. Sladek ◽

V. Sladek ◽

S. N. Atluri

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Material Properties ◽

Boundary Integral ◽

Local Boundary ◽

Nonhomogeneous Material ◽

Local Boundary Integral Equation

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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 ◽

Cited By ~ 26

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 ◽

Crack Problems

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