Solution of the direct and inverse problems for beam

DOI10.1007/s40314-014-0189-9zbMath1339.35161OpenAlexW1969462624WikidataQ59472714 ScholiaQ59472714MaRDI QIDQ291382

Artur Maciag, Anna Pawinska

Publication date: 7 June 2016

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-014-0189-9

zbMATH Keywords

particular solutionsource identificationboundary inverse problemsnodeless FEMsemianalytical solutionTrefftz function

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inverse problems for PDEs (35R30) Theoretical approximation in context of PDEs (35A35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items

Inverse problem of determining the unknown coefficient in the beam vibration equation in an infinite domain ⋮ A time-nonlocal inverse problem for the beam vibration equation with an integral condition ⋮ Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state ⋮ Identification of the heat transfer coefficient during cooling process by means of Trefftz method ⋮ The solution of nonlinear direct and inverse problems for beam by means of the Trefftz functions

Cites Work

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• A boundary residual method with heat polynomials for solving unsteady heat conduction problems
• Solution of a stationary inverse heat conduction problem by means of Trefftz non-continuous method
• Three-dimensional wave polynomials
• A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation
• Solution of the two-dimensional wave equation by using wave polynomials
• Trefftz method in solving the inverse problems
• Solution of the three-dimension wave equation by using wave polynomials
• The usage of wave polynomials in solving direct and inverse problems for two-dimensional wave equation
• Expansions in Terms of Heat Polynomials and Associated Functions
• Lösung der laminaren inkompressiblen Strömung durch Lösung des inversen Problems für parabolische Wärmegleichung
• Identification of an unknown source term in a vibrating cantilevered beam from final overdetermination