Numerical analysis of heat conduction problems on 3D general-shaped domains by means of a RBF Collocation Meshless Method

A truly meshless method formulation for analysis of non-Fourier heat conduction in solids

The non-Fourier effect in heat conduction is important in strong thermal environments and thermal shock problems. Generally, commercial FE codes are not available for analysis of non-Fourier heat conduction. In this study, a meshless formulation is presented for the analysis of the non-Fourier heat conduction in the materials. The formulation is based on the symmetric local weak form of the sec...

Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method

Numerical simulations of 1D inverse heat conduction problems using overdetermined RBF-MLPG method

This paper proposes a numerical method to deal with the one-dimensional inverse heat conduction problem (IHCP). The initial temperature, a condition on an accessible part of the boundary and an additional temperature measurements in time at an arbitrary location in the domain are known, and it is required to determine the temperature and the heat flux on the remaining part of the boundary. Due ...

Optimal Pareto Parametric Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method

Numerical solutions obtained by the Meshless Local Petrov-Galerkin (MLPG) method are presented for two dimensional steady-state heat conduction problems. The MLPG method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. The penalty method is adopted to efficiently enforce the essential boundary co...

A Meshless Method Based on Least-souares Approach for Steady- and Unsteady-state Heat Conduction Problems

The meshles.i method based on the least-squares approach, the rneshle.is weighted leastsquares (MWLS) method, is extended to soive conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretiiai analy.us antl numerical examples indicate that larger time steps can be used i...