Application of the least squares method in axisymmetric biharmonic problems

DOI10.1155/2016/3457649zbMath1400.65063OpenAlexW2463387945WikidataQ59130869 ScholiaQ59130869MaRDI QIDQ1792991

Vasyl Chekurin, Lesya Postolaki

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3457649

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (3)

Axisymmetric residual stresses in a solid cylinder of finite length ⋮ Application of the variational method of homogeneous solutions in the axisymmetric problem of the theory of elasticity for a finite cylinder with regard for its own weight ⋮ Application of the variational method of homogeneous solutions for the optimal control of the axisymmetric thermoelastic state of a cylinder

Cites Work

• Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
• Three-dimensional analytical solution for an axisymmetric biharmonic problem
• The biharmonic problem and progress in the development of analytical methods for the solution of boundary-value problems
• Iterative method for solving the second boundary value problem for biharmonic-type equation
• A matrix decomposition MFS algorithm for axisymmetric biharmonic problems
• Iterative method for solving the Neumann boundary value problem for biharmonic type equation
• Solution of a mixed boundary value problem for the biharmonic equation with finite weighted Dirichlet integral
• A Compact Difference Scheme for the Biharmonic Equation in Planar Irregular Domains
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