Skip to Main content Skip to Navigation
Journal articles

Least‐square collocation and Lagrange multipliers forTaylor meshless method

Abstract : A recently proposed meshless method is discussed in this article. It relies on Taylor series, the shape functions being high degree polynomials deduced from the Partial Differential Equation (PDE). In this framework, an efficient technique to couple several polynomial approximations has been presented in (Tampango, Potier-Ferry, Koutsawa, Tiem, Int. J. Numer. Meth. Eng. vol. 95 (2013) pp. 1094–1112): the boundary conditions were applied using the least-square collocation and the interface was coupled by a bridging technique based on Lagrange multipliers. In this article, least-square collocation and Lagrange multipliers are applied for boundary conditions, respectively, and least-square collocation is revisited to account for the interface conditions in piecewise resolutions. Various combinations of these two techniques have been investigated and the numerical results prove their effectiveness to obtain very accurate solutions, even for large scale problems.
Complete list of metadata

https://hal.univ-lorraine.fr/hal-03251206
Contributor : Farid Abed-Meraim <>
Submitted on : Sunday, June 6, 2021 - 5:53:24 PM
Last modification on : Tuesday, June 8, 2021 - 4:25:00 PM

Identifiers

Citation

Jie Yang, Heng Hu, Michel Potier‐ferry. Least‐square collocation and Lagrange multipliers forTaylor meshless method. Numerical Methods for Partial Differential Equations, Wiley, 2019, 35 (1), pp.84-113. ⟨10.1002/num.22287⟩. ⟨hal-03251206⟩

Share

Metrics

Record views

21