Numerical solution of heat conduction problems using orthogonal collocation on finite elements

Tutorial Orthogonal Collocation on Finite Elements

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

An Axisymmetric Finite Volume Formulation for the Solution of Heat Conduction Problems Using Unstructured Meshes

In this work, a finite volume formulation developed for two-dimensional models is extended to deal with axisymmetric models of heat conduction applications. This formulation uses a vertex centered finite volume method and it was implemented using an edge-based data structure. The time and domain discretization using triangular meshes is described in details, including the treatment of boundary ...

Numerical Solution of Non-Linear Ordinary Differential Equations via Collocation Method (Finite Elements) and Genetic Algorithms

In this paper a new method for solving (non-linear) ordinary differential equations is proposed. The method is based on finite elements (collocation method) as well as on genetic algorithms. The method seems to have some advantages in comparison with the typical sequential (one – step and multi – step) methods. Key-Words: Ordinary Differential Equations, Finite Elements, Genetic Algorithms, Evo...

On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables