Solution of Stokes flow problem using biharmonic equation formulation and multiquadrics method

DOI10.1134/S1995080216030161zbMath1446.76098MaRDI QIDQ323598

Shamil K. Zaripov, Renat F. Mardanov

Publication date: 10 October 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Stokes flowKuwabara modelmultiquadrics method

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Basic methods in fluid mechanics (76M99)

Related Items (3)

Expansion of eigenvalues of the perturbed discrete bilaplacian ⋮ A free boundary problem driven by the biharmonic operator ⋮ Limit behaviour of a singular perturbation problem for the biharmonic operator

Cites Work

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• The comparison of three meshless methods using radial basis functions for solving fourth-order partial differential equations
• A global meshless collocation particular solution method (integrated radial basis function) for two-dimensional Stokes flow problems
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• A meshfree method based on radial basis functions for the eigenvalues of transient Stokes equations
• Numerical solution of Stokes flow in a circular cavity using mesh-free local RBF-DQ
• Solutions of 2D and 3D Stokes laws using multiquadrics method

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