Singularities and Constructive Methods for Their Treatment
Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983
Published on 1. April 1985
Book
Paperback/Softback
XII, 348 pages
978-3-540-15219-4 (ISBN)
Description
Finite element methods for the solution of problems with rough input data.- Treatment of a re-entrant vertex in a three-dimensional poisson problem.- On the approximation of linear elliptic systems on polygonal domains.- The regularity of interface-problems on corner-regions.- Spectral analysis of singular Sturm-Liouville problems with operator coefficients.- On a numerical method for fracture mechanics.- On finite element methods for nonlinear elliptic problems on domains with corners.- Singularities in elliptic problems.- Boundary integral equations for sound radiation by a harmonically vibrating baffled plate.- Eigenfunction expansions for non self adjoint operators and separation of variables.- Castigliano and sobolev.- An integral equation formulation for a boundary value problem of elasticity in the domain exterior to an arc.- Scalar decomposition of elastic waves scattered by planar cracks.- Boundary element methods for singularity problems in fracture mechanics.- Sur l'approximation des solutions du probleme de Dirichlet dans un ouvert avec coins.- The treatment of singularities in orthonormalization methods for numerical conformal mapping.- Calculation of potential in a sector.- Singularities of cracks with generalized finite elements.- The practical treatment of stress concentrations and singularities within finite element displacement algorithms.- Series expansions of biharmonic functions around a slit.- Invariance properties and special structures near conical boundary points.- A comparison of the local behavior of spline L2-projections, fourier series and legendre series.
More details
Series
Edition
1985 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 348 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 20 mm
Weight
546 gr
ISBN-13
978-3-540-15219-4 (9783540152194)
DOI
10.1007/BFb0076257
Schweitzer Classification
Persons
Content
Finite element methods for the solution of problems with rough input data.- Treatment of a re-entrant vertex in a three-dimensional poisson problem.- On the approximation of linear elliptic systems on polygonal domains.- The regularity of interface-problems on corner-regions.- Spectral analysis of singular Sturm-Liouville problems with operator coefficients.- On a numerical method for fracture mechanics.- On finite element methods for nonlinear elliptic problems on domains with corners.- Singularities in elliptic problems.- Boundary integral equations for sound radiation by a harmonically vibrating baffled plate.- Eigenfunction expansions for non self adjoint operators and separation of variables.- Castigliano and sobolev.- An integral equation formulation for a boundary value problem of elasticity in the domain exterior to an arc.- Scalar decomposition of elastic waves scattered by planar cracks.- Boundary element methods for singularity problems in fracture mechanics.- Sur l'approximation des solutions du probleme de Dirichlet dans un ouvert avec coins.- The treatment of singularities in orthonormalization methods for numerical conformal mapping.- Calculation of potential in a sector.- Singularities of cracks with generalized finite elements.- The practical treatment of stress concentrations and singularities within finite element displacement algorithms.- Series expansions of biharmonic functions around a slit.- Invariance properties and special structures near conical boundary points.- A comparison of the local behavior of spline L2-projections, fourier series and legendre series.