MLPG (Meshless Local Petrov-Galerkin method) for Heat Conduction Analysis on Welding Moving Heat Source Problem

The meshless local Petrov-Galerkin method for the analysis of heat conduction due to a moving heat source, in welding

Recently, the efficiency of computer modeling and simulations has been improving dramatically. Consequently, the structural analysis of welding phenomena based on thermaleelasticeplastic finite element method (FEM) can be performedwith a good accuracy in a short time. However, if themodel to be analyzed is large and it has a complex shape, problemsmight occur with preprocessing, such as themesh...

Meshless Local Petrov-Galerkin Method for Heat Conduction Problem in an Anisotropic Medium

Meshless methods based on the local Petrov-Galerkin approach are proposed for solution of steady and transient heat conduction problem in a continuously nonhomogeneous anisotropic medium. Fundamental solution of the governing partial differential equations and the Heaviside step function are used as the test functions in the local weak form. It is leading to derive local boundary integral equat...

Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems

Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multidimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convectiondiffusion problems, in one and two dimensions. Even fo...

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

The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method

The MLPG method is the general basis for several variations of meshless methods presented in recent literature. The interrelation of the various meshless approaches is presented in this paper. Several variations of the meshless interpolation schemes are reviewed also. Recent developments and applications of the MLPG methods are surveyed.