TY  - JOUR
AB  - Purpose The purpose of this paper is to assess the performance of the stabilised moving least squares (MLS) scheme in the meshless local Petrov–Galerkin (MLPG) method for heat conduction method.Design/methodology/approach In the current work, the authors extend the stabilised MLS approach to the MLPG method for heat conduction problem. Its performance has been compared with the MLPG method based on the standard MLS and local coordinate MLS. The patch tests of MLS and modified MLS schemes have been presented along with the one- and two-dimensional examples for MLPG method of the heat conduction problem.Findings In the stabilised MLS, the condition number of moment matrix is independent of the nodal spacing and it is nearly constant in the global domain for all grid sizes. The shifted polynomials based MLS and stabilised MLS approaches are more robust than the standard MLS scheme in the MLPG method analysis of heat conduction problems.Originality/value The MLPG method based on the stabilised MLS scheme.
VL  - 36
IS  - 4
SN  - 0264-4401
DO  - 10.1108/EC-11-2018-0541
UR  - https://doi.org/10.1108/EC-11-2018-0541
AU  - Singh Rituraj
AU  - Singh Krishna Mohan
PY  - 2019
Y1  - 2019/01/01
TI  - Stabilised MLS in MLPG method for heat conduction problem
T2  - Engineering Computations
PB  - Emerald Publishing Limited
SP  - 1323
EP  - 1345
Y2  - 2024/04/19
ER  -