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On the numerical solution of the finite-part singular integral equations of the first and the second kind used in fracture mechanics

  • Published:1987-12 Issue:3 Volume:65 Page:253-266
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Ladopoulos E.G.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference36 articles.

1. Singular Integral Equations;Muskhelishvili,1953

2. Some Basic Problems of the Mathematical Theory of Elasticity;Muskhelishvili,1963

3. Numerical solution of singular integral equations I; Methods;Theocaris;ASCE J. Engrg. Mech. Div.,1981

4. Numerical solution of singular integral equations II; Applications;Theocaris;ASCE J. Engrg. Mech. Div.,1981

5. Practical procedures and methods for the numerical solution of Cauchy-type singular integral equation;Theocaris;Trans. Acad. Athens,1983

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1. On Approximate Solutions of Linear and Nonlinear Singular Integral Equations;Current Trends in Mathematical Analysis and Its Interdisciplinary Applications;2019

2. Newton-Kantorovich method for two-dimensional non-linear singular integral equations;MAEJO INT J SCI TECH;2016

3. Approximations of singular integral equations on Lyapunov contours in Banach spaces;Computers & Mathematics with Applications;2005-08

4. Nonlinear singular integral equations in elastodynamics by using Hilbert transformations;Nonlinear Analysis: Real World Applications;2005-07

5. Two trigonometric quadrature formulae for evaluating hypersingular integrals;International Journal for Numerical Methods in Engineering;2002
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