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

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Author(s): I. Babuška, J. E. Osborn (auth.), Pierre Grisvard, Wolfgang L. Wendland, John R. Whiteman (eds.)
Series: Lecture Notes in Mathematics 1121
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1985

Language: English
Pages: 348
City: Berlin; New York
Tags: Numerical Analysis

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