Finite-dimensional perturbations of linear operators and some applications to boundary integral equations

DOI10.1016/S0955-7997(99)00031-4zbMath0961.65053OpenAlexW2099127604MaRDI QIDQ1568430

Sergey E. Mikhailov

Publication date: 16 May 2001

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(99)00031-4

zbMATH Keywords

Banach spaceslinear elasticityboundary integral equationFredholm operatorfinite dimensional perturbation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (10)

Localized boundary-domain integral formulations for problems with variable coefficients ⋮ Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains ⋮ Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Neumann BVP in 2D ⋮ Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility ⋮ Resolvent Operators for Some Classes of Integro-Differential Equations ⋮ Energy method of safe aircraft braking forecasting ⋮ Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient ⋮ Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients ⋮ Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem ⋮ Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body

Cites Work

• Integral equations. Theory and numerical treatment
• Solution of problems on the anti-plane deformation of elastic bodies with corner points by the method of integral equations
• ON AN INTEGRAL EQUATION OF SOME BOUNDARY VALUE PROBLEMS FOR HARMONIC FUNCTIONS IN PLANE MULTIPLY CONNECTED DOMAINS WITH NONREGULAR BOUNDARY
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