A generalized Ritz method for partial differential equations in domains of arbitrary geometry using global shape functions

DOI10.1016/j.enganabound.2007.09.001zbMath1244.74161OpenAlexW2055550285WikidataQ115353881 ScholiaQ115353881MaRDI QIDQ443254

John T. Katsikadelis

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.09.001

zbMATH Keywords

boundary element methodRitz methodpartial differential equationsmeshlessvariationalanalog equationglobal shape functionsoptimal multiquadrics

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)

Buckling of cylindrical shell panels: a MAEM solution ⋮ The analog equation integral formulation for plane piezoelectric media ⋮ Transient elastodynamic analysis of nonhomogeneous anisotropic plane bodies ⋮ Stiffness and buckling optimization of thin plates with BEM ⋮ Post-buckling analysis of viscoelastic plates with fractional derivative models ⋮ The BEM for numerical solution of partial fractional differential equations ⋮ Analysis of cylindrical shell panels. A meshless solution ⋮ Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models

Cites Work

• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• The boundary element method for nonlinear problems
• The BEM for nonhomogeneous bodies
• A New Boundary Equation Solution to the Plate Problem
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
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