The meshless analog equation method. I: Solution of elliptic partial differential equations

DOI10.1007/s00419-008-0294-6zbMath1264.74283OpenAlexW2166833171WikidataQ115388055 ScholiaQ115388055MaRDI QIDQ1952384

John T. Katsikadelis

Publication date: 30 May 2013

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-008-0294-6

zbMATH Keywords

radial basis functionselliptic partial differential equationsmeshless methodanalog equation method

Mathematics Subject Classification ID

Related Items (9)

Buckling of cylindrical shell panels: a MAEM solution ⋮ A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation ⋮ The analog equation integral formulation for plane piezoelectric media ⋮ Transient elastodynamic analysis of nonhomogeneous anisotropic plane bodies ⋮ The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas ⋮ A boundary-only meshless method for numerical solution of the eikonal equation ⋮ A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation ⋮ Analysis of cylindrical shell panels. A meshless solution ⋮ A dual reciprocity hybrid radial boundary node method based on radial point interpolation method

Cites Work

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• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• The boundary element method for nonlinear problems
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies

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