Field of potential in a compound rectangle containing a linear inclusion
Authors:
Yu. A. Melnikov, V. V. Loboda and V. B. Govorukha
Journal:
Quart. Appl. Math. 55 (1997), 299-311
MSC:
Primary 35J05; Secondary 35Q72, 73C35
DOI:
https://doi.org/10.1090/qam/1447578
MathSciNet review:
MR1447578
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- Stefan Bergman and M. Schiffer, Kernel functions and elliptic differential equations in mathematical physics, Academic Press Inc., New York, N. Y., 1953. MR 0054140
- Bruno A. Boley, A method for the construction of Green’s functions, Quart. Appl. Math. 14 (1956), 249–257. MR 80250, DOI https://doi.org/10.1090/S0033-569X-1956-80250-8
- I. M. Dolgova and Iu. A. Mel′nikov, Construction of Green’s functions and matrices for equations and systems of the elliptic type; Russian transl., J. Appl. Math. Mech. 42 (1978), no. 4, 695–700. MR 621205
S. P. Gavelya, On one method of constructing Green’s matrices for combined shells, Reports of the Ukrainian Academy of Sciences Ser. A 12, 1107–1111 (1969) (in Russian)
A. A. Korneiytchuk, Quadrature formulas for singular integrals, Numerical Methods for Differential and Integral Equations, and Quadrature Formulas, Nauka, Moscow, 1964, pp. 64–73 (in Russian)
- V. V. Loboda, Application of the Gauss-Jacobi formula to the solution of singular integral equations, Methods for solving nonlinear problems, and data processing (Russian), Dnepropetrovsk. Gos. Univ., Dnepropetrovsk, 1986, pp. 60–64, 108 (Russian). MR 971542
- Yu. A. Melnikov, Some applications of the Green’s function method in mechanics, Internat. J. Solids Structures 13 (1977), no. 11, 1045–1058. MR 483910, DOI https://doi.org/10.1016/0020-7683%2877%2990075-0
Yu. A. Melnikov, Green’s functions and matrices for equations and systems of the elliptic type, Dniepropetrovsk State University Publishers, Dniepropetrovsk, 1991 (in Russian)
N. I. Muskhelishvili, Some Basic Problems in the Mathematical Theory of Elasticity, Nordhoff Ltd., Groningen, 1953
S. Bergman and M. Schiffer, Kernel Functions and Elliptic Differential Equations in Mathematical Physics, Academic Press, Inc., New York, 1953
B. A. Boley, A method for the construction of Green’s functions, Quart. J. Appl. Math. 14, 249–257 (1956)
I. M. Dolgova and Yu. A. Melnikov, Construction of Green’s functions and matrices for equations and systems of the elliptic type, J. Appl. Math. and Mech. 42, 695–700 (1978) (in Russian)
S. P. Gavelya, On one method of constructing Green’s matrices for combined shells, Reports of the Ukrainian Academy of Sciences Ser. A 12, 1107–1111 (1969) (in Russian)
A. A. Korneiytchuk, Quadrature formulas for singular integrals, Numerical Methods for Differential and Integral Equations, and Quadrature Formulas, Nauka, Moscow, 1964, pp. 64–73 (in Russian)
V. V. Loboda, Use of Gauss-Jacobi formula to a solution of singular integral equations, Methods for Solution of Nonlinear Problems and Data Development, Dniepropetrovsk State University Publishers, Dniepropetrovsk, 1986, pp. 60–64 (in Russian)
Yu. A. Melnikov, Some applications of the Green’s function method in mechanics, Internat. J. Solids Structures 13, 1045–1058 (1977)
Yu. A. Melnikov, Green’s functions and matrices for equations and systems of the elliptic type, Dniepropetrovsk State University Publishers, Dniepropetrovsk, 1991 (in Russian)
N. I. Muskhelishvili, Some Basic Problems in the Mathematical Theory of Elasticity, Nordhoff Ltd., Groningen, 1953
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
35J05,
35Q72,
73C35
Retrieve articles in all journals
with MSC:
35J05,
35Q72,
73C35
Additional Information
Article copyright:
© Copyright 1997
American Mathematical Society
