An effective high order interpolation scheme in BIEM for biharmonic boundary value problems

DOI10.1016/j.enganabound.2005.01.005zbMath1182.74226OpenAlexW1980355535WikidataQ58329062 ScholiaQ58329062MaRDI QIDQ2269213

Roger I. Tanner, Nam Mai-Duy

Publication date: 16 March 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2005.01.005

zbMATH Keywords

biharmonic equationsboundary integral equation methodsindirect radial basis function networks

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Solving 2D and 3D Poisson equations and biharmonic equations by the Haar wavelet method ⋮ Dual reciprocity hybrid radial boundary node method for Winkler and Pasternak foundation thin plate ⋮ A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems ⋮ A spectral collocation method based on Haar wavelets for Poisson equations and biharmonic equations ⋮ Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks ⋮ A domain-type boundary-integral-equation method for two-dimensional biharmonic Dirichlet problem ⋮ An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations ⋮ Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• A boundary element approach for nonhomogeneous potential problems
• Boundary integral formulation for plate flexure with arbitrary boundary conditions
• A general boundary integral formulation for the numerical solution of plate bending problems
• Approximation of function and its derivatives using radial basis function networks
• Numerical biharmonic analysis and some applications
• Simply supported plates by the boundary integral equation method
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Scattered Data Interpolation: Tests of Some Method
• Analytical treatment of boundary integrals in direct boundary element analysis of plate bending problems
• Neural networks for BEM analysis of steady viscous flows
• RBF interpolation of boundary values in the BEM for heat transfer problems
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• Meshless formulations for simply supported and clamped plate problems
• Enumeration of Seven-Argument Threshold Functions
• Solving high order ordinary differential equations with radial basis function networks
• Plate bending analysis with \(hr\)-adaptive boundary elements.
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