A Fully Discrete Fast Fourier–Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation

Ying Jiang; Bo Wang; Yuesheng Xu

doi:10.1007/s10915-018-0688-8

A Fully Discrete Fast Fourier–Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0688-8 ◽

2018 ◽

Vol 76 (3) ◽

pp. 1594-1632

Author(s):

Ying Jiang ◽

Bo Wang ◽

Yuesheng Xu

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Boundary Integral Equation ◽

Biharmonic Equation ◽

Boundary Integral ◽

Fully Discrete

Download Full-text

A Fast Fourier--Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation

SIAM Journal on Numerical Analysis ◽

10.1137/140955744 ◽

2014 ◽

Vol 52 (5) ◽

pp. 2530-2554 ◽

Cited By ~ 11

Author(s):

Ying Jiang ◽

Bo Wang ◽

Yuesheng Xu

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Boundary Integral Equation ◽

Biharmonic Equation ◽

Boundary Integral

Download Full-text

A spectral Galerkin method for a boundary integral equation

Mathematics of Computation ◽

10.1090/s0025-5718-1986-0856705-2 ◽

1986 ◽

Vol 47 (176) ◽

pp. 597-597 ◽

Cited By ~ 22

Author(s):

W. McLean

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Spectral Galerkin Method

Download Full-text

On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation

Complex Variables Theory and Application An International Journal ◽

10.1080/02781070500087394 ◽

2005 ◽

Vol 50 (7-11) ◽

pp. 681-696 ◽

Cited By ~ 4

Author(s):

Fioralba Cakoni ◽

George C. Hsiao ◽

Wolfgang L. Wendland

Keyword(s):

Integral Equation ◽

Boundary Value Problem ◽

Boundary Integral Equation ◽

Biharmonic Equation ◽

Mixed Boundary ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Mixed Boundary Value Problem

Download Full-text

New indirect scalar boundary integral equation formulas for the biharmonic equation

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00590-2 ◽

2001 ◽

Vol 135 (2) ◽

pp. 313-324 ◽

Cited By ~ 7

Author(s):

Youngmok Jeon

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Biharmonic Equation ◽

Boundary Integral

Download Full-text

Error estimates for a discretized Galerkin method for a boundary integral equation in two dimensions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690080502 ◽

1992 ◽

Vol 8 (5) ◽

pp. 405-421 ◽

Cited By ~ 3

Author(s):

F. Penzel

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Error Estimates ◽

Boundary Integral Equation ◽

Two Dimensions ◽

Boundary Integral

Download Full-text

An Indirect Boundary Integral Equation Method for the Biharmonic Equation

SIAM Journal on Numerical Analysis ◽

10.1137/0731025 ◽

1994 ◽

Vol 31 (2) ◽

pp. 461-476 ◽

Cited By ~ 14

Author(s):

Youngmok Jeon

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Biharmonic Equation ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method

Download Full-text

The Galerkin method of weighted residuals applied to the restricted magnetostatic scalar-potential boundary-integral equation in three dimensions

IEEE Transactions on Magnetics ◽

10.1109/tmag.1983.1062838 ◽

1983 ◽

Vol 19 (6) ◽

pp. 2329-2332 ◽

Cited By ~ 5

Author(s):

A.G. Armstrong ◽

J. Simkin ◽

C. Trowbridge

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Boundary Integral Equation ◽

Scalar Potential ◽

Boundary Integral ◽

Three Dimensions ◽

Weighted Residuals ◽

Method Of Weighted Residuals ◽

The Galerkin Method

Download Full-text

A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners

Journal of Integral Equations and Applications ◽

10.1216/jie.2021.33.193 ◽

2021 ◽

Vol 33 (2) ◽

Author(s):

Xiangling Chen ◽

Ying Jiang

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Boundary Integral Equation ◽

Boundary Integral

Download Full-text

WITHDRAWN: A fast discrete Galerkin method for a hypersingular boundary integral equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.06.036 ◽

2007 ◽

Cited By ~ 1

Author(s):

Haotao Cai

Keyword(s):

Integral Equation ◽

Galerkin Method ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Discrete Galerkin Method ◽

Hypersingular Boundary Integral Equation

Download Full-text

Scalar boundary integral equation formulas for the biharmonic equation — numerical experiments

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00126-0 ◽

2000 ◽

Vol 115 (1-2) ◽

pp. 269-282 ◽

Cited By ~ 2

Author(s):

Youngmok Jeon

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Biharmonic Equation ◽

Numerical Experiments ◽

Boundary Integral

Download Full-text