Singularities and constructive methods for their treatment : proceedings of the conference held in Oberwolfach, West Germany, November 20-26, 1983

書誌事項

Singularities and constructive methods for their treatment : proceedings of the conference held in Oberwolfach, West Germany, November 20-26, 1983

edited by P. Grisvard, W. Wendland and J.R. Whiteman

(Lecture notes in mathematics, 1121)

Springer-Verlag, c1985

  • : gw
  • : us

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注記

Contains the majority of the lectures given at the Mathematisches Forschungsinstitut Oberwolfach, Nov. 21-25, 1983

English and French

Includes bibliographies

内容説明・目次

目次

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.

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