Solving the biharmonic plate bending problem by the Ritz method using explicit formulas for splines of degree 5

DOI10.1007/S10559-018-0097-XzbMath1491.65147OpenAlexW2901135883WikidataQ128883844 ScholiaQ128883844MaRDI QIDQ1735320

O. O. Lytvyn, I. S. Tomanova, O. N. Litvin

Publication date: 28 March 2019

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-018-0097-x

zbMATH Keywords

rectangular platebiharmonic problemclamped plateRitz systemsplines of degree 5

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• Algorithm to solve the partial eigenvalue problem for large profile matrices
• Explicit formulas for interpolating splines of degree 5 on the triangle

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