An Investigation of a Pair of Integral Equations for the Biharmonic Problem
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Publication:4172376
DOI10.1093/imamat/22.1.15zbMath0391.35028OpenAlexW2146059765MaRDI QIDQ4172376
Søren Christiansen, Philip Hougaard
Publication date: 1978
Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imamat/22.1.15
Integral EquationBoundary Value ProblemBiharmonic ProblemElliptic SystemsDynamic StabilityHigher Order Elliptic EquationPair of Integral EquationsSingular Voltera
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On the elastostatic significance of four boundary integrals involving biharmonic functions ⋮ Condition number of the BEM matrix arising from the Stokes equations in 2D ⋮ On dual conservation laws in planar elasticity ⋮ Boundary integral operators for plate bending in domains with corners ⋮ Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains ⋮ A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains ⋮ Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem ⋮ Condition number of matrices derived from two classes of integral equations
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