Singularities of Rotationally Symmetric Solutions of Boundary Value Problems for the Lamé Equations

DOI10.1002/zamm.19910711102zbMath0751.73009OpenAlexW2077520225MaRDI QIDQ4001157

Anna-Margarete Sändig, A. E. Beagles

Publication date: 26 September 1992

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: http://elib.uni-stuttgart.de/handle/11682/8318

zbMATH Keywords

expansionDirichlet boundary conditionsconical pointsnon-smooth domainssingular vector-functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05)

Related Items (9)

General interface problems—I ⋮ Higher-order time domain boundary elements for elastodynamics: graded meshes and \textit{hp} versions ⋮ Singular asymptotic expansion of the elastic solution along an edge around which material properties depend on the angular coordinate ⋮ On solution of Lamé equations in axisymmetric domains with conical points ⋮ Efficient computation of order and mode of corner singularities in 3D‐elasticity ⋮ Edge stress intensity functions in polyhedral domains and their extraction by a quasidual function method ⋮ Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes ⋮ Unnamed Item ⋮ Numerical methods for extracting edge stress intensity functions in anisotropic three-dimensional domains

Cites Work

• Estimates in 𝐿_{𝑝} and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary
• Unnamed Item

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