Singularities and Constructive Methods for Their Treatment: Proceedings of the Conference held in Oberwolfach, West Germany, November 20–26, 1983

I. Babuška, J. E. Osborn (auth.), Pierre Grisvard, Wolfgang L. Wendland, John R. Whiteman (eds.)9780387152196, 0-387-15219-9

Table of contents :
Finite element methods for the solution of problems with rough input data….Pages 1-18
Treatment of a re-entrant vertex in a three-dimensional poisson problem….Pages 19-27
On the approximation of linear elliptic systems on polygonal domains….Pages 28-37
The regularity of interface-problems on corner-regions….Pages 38-54
Spectral analysis of singular Sturm-Liouville problems with operator coefficients….Pages 55-68
On a numerical method for fracture mechanics….Pages 69-84
On finite element methods for nonlinear elliptic problems on domains with corners….Pages 85-103
Singularities in elliptic problems….Pages 104-112
Boundary integral equations for sound radiation by a harmonically vibrating baffled plate….Pages 113-122
Eigenfunction expansions for non self adjoint operators and separation of variables….Pages 123-136
Castigliano and sobolev….Pages 137-152
An integral equation formulation for a boundary value problem of elasticity in the domain exterior to an arc….Pages 153-165
Scalar decomposition of elastic waves scattered by planar cracks….Pages 166-180
Boundary element methods for singularity problems in fracture mechanics….Pages 181-198
Sur l’approximation des solutions du probleme de Dirichlet dans un ouvert avec coins….Pages 199-206
The treatment of singularities in orthonormalization methods for numerical conformal mapping….Pages 207-227
Calculation of potential in a sector….Pages 228-257
Singularities of cracks with generalized finite elements….Pages 258-277
The practical treatment of stress concentrations and singularities within finite element displacement algorithms….Pages 278-299
Series expansions of biharmonic functions around a slit….Pages 300-307
Invariance properties and special structures near conical boundary points….Pages 308-318
A comparison of the local behavior of spline L 2 -projections, fourier series and legendre series….Pages 319-346