Steady Heat Conduction Analysis of Functionally Gradient Materials by Triple-Reciprocity Boundary-Element Method.

The simple boundary element method for transient heat conduction in functionally graded materials

This paper presents a ‘‘simple’’ boundary element method for transient heat conduction in functionally graded materials, which leads to a boundary-only formulation without any domain discretization. For a broad range of functional material variation (quadratic, exponential and trigonometric) of thermal conductivity and specific heat, the non-homogeneous problem can be transformed into the stand...

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...

The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases

In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.

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...

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations