Numerical analysis of singularities in two‐dimensions part 1: Computation of eigenpairs

International Journal for Numerical Methods in Engineering

Volumn 38, Issue 12, 1995, Pages 2055-2082

  Yosibash, Zohar ^a   Szabó, Barna ^a  

^a WASHINGTON UNIVERSITY   (United States)

Author keywords

eigenpairs; failure fracture analysis; finite element method; singular points; Steklov method

Indexed keywords

EID: 0000769306     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1620381207     Document Type: Article

References (23)

1. Boundary value problems for elliptic equations in domains with conical or angular points
2. The smoothness of a solution of Dirichlet's problem for second order elliptic equations in a region with picewise smooth boundary
3. The solution of axisymmetric problems near singular points and computation of stress intensity factors
4. Stress singularities resulting from various boundary conditions in angular corners of plates in extension
5. On the singular behavior at the vertex of a bi‐material wedge
6. Numerical analysis of singular points
7. Regularity and numerical solution of eigenvalue problems with picewise analytic data
8. Survey lectures on the mathematical foundations of the finite element method
9. Green's functions, bi‐linear forms, and completeness of the eigenfunctions for the elastostatic strip and wedge
10. On the determination of higher order terms of singular elastic stress fields near corners
11. On the edge singularities in composite media
12. Calcul des singularites par la methode des elements finis
13. Numerical analysis of stress singularities in composite materials
14. Extremal principles and isoperimetric inequalities for some mixed problems of Stekloff's type
15. Some inequalities for Stekloff eigenvalues