The boundary equation method in the third initial boundary value problem of the theory of elasticity. Part 1. Existence theorems

DOI10.1002/mma.1670160304zbMath0781.31005OpenAlexW2112099516MaRDI QIDQ4695683

Publication date: 29 June 1993

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670160304

zbMATH Keywords

smooth boundary mapping properties layer potential ansatz nonstationary integral equations

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Initial value problems for second-order parabolic equations (35K15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Connections of harmonic functions with differential equations in higher dimensions (31B35)

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The Solvability of Boundary Integral Equations for the Dirichlet and Neumann Problems in the Theory of Thin Elastic Plates ⋮ Higher-order time domain boundary elements for elastodynamics: graded meshes and \textit{hp} versions ⋮ Potential Representations of Solutions for Dynamic Bending of Elastic Plates Weakened by Cracks ⋮ A BIEM approach to an external problem of time-harmonic elastodynamics with elastic-type boundary conditions ⋮ Unnamed Item ⋮ Displacement-traction boundary value problems for elastic plates with transverse shear deformation ⋮ Error estimates for FE-BE coupling of scattering of waves in the time domain ⋮ Singular integrals accuracy of calculations in two-dimensional problems using boundary element methods

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