Singularities and Constructive Methods for Their Treatment

Inhaltsverzeichnis

• 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.