Mathematical aspects of application of the method of boundary integral equations to solution of problems of the theory of elasticity for solids with cracks

Strength of Materials ◽

10.1007/bf00767464 ◽

1980 ◽

Vol 12 (7) ◽

pp. 824-831

Author(s):

D. K. Yakimchuk ◽

A. L. Kvitka

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Theory Of Elasticity ◽

Boundary Integral

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On solving external boundary value problems of the theory of elasticity using the method of boundary integral equations

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(83)90068-0 ◽

1983 ◽

Vol 47 (3) ◽

pp. 389-394

Author(s):

M.I. Lazarev

Keyword(s):

Boundary Value Problems ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Value ◽

Theory Of Elasticity ◽

Boundary Integral ◽

External Boundary

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Numerical stability of the procedure of the method of boundary integral equations in solving the first two basic problems of the theory of elasticity and of the theory of harmonic functions

Strength of Materials ◽

10.1007/bf00767307 ◽

1981 ◽

Vol 13 (7) ◽

pp. 868-873

Author(s):

D. K. Yakimchuk

Keyword(s):

Integral Equations ◽

Numerical Stability ◽

Harmonic Functions ◽

Boundary Integral Equations ◽

Theory Of Elasticity ◽

Boundary Integral

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A new version of boundary integral equations and their application to dynamic three-dimensional problems of the theory of elasticity

Journal of Applied Mathematics and Mechanics ◽

10.1016/s0021-8928(98)00054-9 ◽

1998 ◽

Vol 62 (3) ◽

pp. 427-434

Author(s):

A.O. Vatul'yan ◽

V.M. Shamshin

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Three Dimensional ◽

Theory Of Elasticity ◽

Boundary Integral

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The formulation of linearized boundary integral equations of the anisotropic theory of elasticity and their application in geometrical inverse problems

Journal of Applied Mathematics and Mechanics ◽

10.1016/s0021-8928(98)00055-0 ◽

1998 ◽

Vol 62 (3) ◽

pp. 435-442

Author(s):

S.A. Korenskii

Keyword(s):

Inverse Problems ◽

Integral Equations ◽

Boundary Integral Equations ◽

Theory Of Elasticity ◽

Boundary Integral

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Evaluating the accuracy of solutions to problems of the theory of elasticity, obtained in a scheme of the method of boundary integral equations. Report 2

Strength of Materials ◽

10.1007/bf01523961 ◽

1986 ◽

Vol 18 (6) ◽

pp. 791-795

Author(s):

I. Mashinda ◽

D. K. Yakimchuk

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Theory Of Elasticity ◽

Boundary Integral

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A direct version of the method of boundary integral equations in the theory of elasticity

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(92)90046-b ◽

1992 ◽

Vol 56 (5) ◽

pp. 617-622 ◽

Author(s):

S.V. Kuznetsov

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Theory Of Elasticity ◽

Boundary Integral

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Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons

Moscow University Mathematics Bulletin ◽

10.3103/s0027132215040099 ◽

2015 ◽

Vol 70 (4) ◽

pp. 193-196

Author(s):

I. O. Arushanyan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Boundary Integral Equations ◽

Theory Of Elasticity ◽

Boundary Integral ◽

Plane Theory ◽

Plane Theory Of Elasticity

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Evaluation of the accuracy of solutions of problems of the theory of elasticity obtained in the schema of the method of boundary integral equations. Communication 1

Strength of Materials ◽

10.1007/bf01523156 ◽

1983 ◽

Vol 15 (12) ◽

pp. 1723-1725

Author(s):

D. K. Yakimchuk ◽

I. Mashinda

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Theory Of Elasticity ◽

Boundary Integral

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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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