Singularities and Constructive Methods for Their Treatment [electronic resource] : Proceedings of the Conference held in Oberwolfach, West Germany, November 20–26, 1983 /
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.
Main Authors: | , , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1985
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Subjects: | Mathematics., Numerical analysis., Numerical Analysis., |
Online Access: | http://dx.doi.org/10.1007/BFb0076257 |
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Summary: | 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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