Removal of the zero eigenvalues of integral operators in elastostatic boundary value problems

DOI10.1007/BF01246903zbMath0464.73022OpenAlexW177215597MaRDI QIDQ1154314

Ulrich Heise

Publication date: 1981

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01246903

zbMATH Keywords

second kindelastostatic boundary value problemsisolated zero eigenvaluesremoving

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) (Semi-) Fredholm operators; index theories (47A53) Eigenvalue problems for integral equations (45C05) Elastic materials (74B99) Singular integral equations (45Exx) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

ON THE REMOVAL OF RIGID BODY MOTIONS IN THE SOLUTION OF ELASTOSTATIC PROBLEMS BY DIRECT BEM ⋮ Condition of boundary integral equations in which the sought-for function and the given right-hand side are defined on different domains; round-off errors in the numerical solutions ⋮ Comparison of round-off errors in integral equation formulations of elastostatical boundary value problems ⋮ Note on the removal of rigid body motions in the solution of elastostatic traction boundary value problems by SGBEM ⋮ Combination of the boundary integral equation method and the extrapolation method ⋮ Spectra of integral operators for ellipse- and hyperbola-shaped boundaries ⋮ Coupling of BEM with a large displacement and rotation algorithm ⋮ Asymptotic expansions of results of the boundary integral equation method for plane elastostatic problems

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