Exponential basis functions in space and time: a meshless method for 2D time dependent problems

DOI10.1016/j.jcp.2013.01.033zbMath1349.74371OpenAlexW1985672388MaRDI QIDQ346392

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.01.033

zbMATH Keywords

meshless method2D time-dependent equationsdiscrete transformationexponential basis functions

Mathematics Subject Classification ID

Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items (10)

A fictitious domain method using equilibrated basis functions for harmonic and bi-harmonic problems in physics ⋮ A local collocation method to construct Dirichlet-type absorbing boundary conditions for transient scalar wave propagation problems ⋮ Numerical solution of scalar wave equation by the modified radial integration boundary element method ⋮ Implementation of a generalized exponential basis functions method for linear and non‐linear problems ⋮ Weakly equilibrated basis functions for elasticity problems ⋮ On the simulation of image-based cellular materials in a meshless style ⋮ A meshless method using local exponential basis functions with weak continuity up to a desired order ⋮ The solution of initial-boundary value problems with non-local boundary conditions using exponential basis functions ⋮ Local Dirichlet-type absorbing boundary conditions for transient elastic wave propagation problems ⋮ Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions

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