The solution of systems of finite-part singular integral equations defined in L,,with many applications in mathematical physics is investigated. A finite-part singular integral representatron analysis in L,, is proposed, by proving that every system of finite-part singular integral equations is equi
Singular integral equations in Hilbert space applied to crack problems
β Scribed by E.G. Ladopoulos; V.A. Zisis; D. Kravvaritis
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 486 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0167-8442
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π SIMILAR VOLUMES
an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane (modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems
Jacobi approximations in certain Hilbert spaces are investigated. Several weighted inverse inequalities and Poincare inequalities are obtained. Some approximation Εesults are given. Singular differential equations are approximated by using Jacobi polynomials. This method keeps the spectral accuracy.