Skip to Main content Skip to Navigation
Journal articles

Bifurcation Indicator Based on Meshless and Asymptotic Numerical Methods for Nonlinear Poisson Problems

Abstract : We propose in this work new algorithms associating asymptotic numerical method and meshless discretization (MFS-MPS: Method of fundamental solutions-Method of particular solutions) to compute branch solutions of nonlinear Poisson problems. To detect singular points on these branches, geometrical indicator, Pade approximants, and analytical bifurcation indicator are proposed. Numerical applications show the robustness and the effectiveness of the proposed algorithms.
Document type :
Journal articles
Complete list of metadata

https://hal.univ-lorraine.fr/hal-01503448
Contributor : Lem3 Ul <>
Submitted on : Friday, April 7, 2017 - 10:24:13 AM
Last modification on : Friday, May 28, 2021 - 12:24:06 PM

Links full text

Identifiers

Citation

Abdeljalil Tri, Hamid Zahrouni, Michel Potier-Ferry. Bifurcation Indicator Based on Meshless and Asymptotic Numerical Methods for Nonlinear Poisson Problems. Numerical Methods for Partial Differential Equations, Wiley, 2014, 30 (3), pp.978-993. ⟨10.1002/num.21851⟩. ⟨hal-01503448⟩

Share

Metrics

Record views

507