Hierarchical Finite Element Method for Nonlinear Heat Conduction in Plates

TITLE:	Hierarchical Finite Element Method for Nonlinear Heat Conduction in Plates
Author(s):	Hideaki Kaneko and Puntip Toghaw
Source (status):	Proceeding of International Conference in Mathematics and Applications: ICMA-MU 2005, 37-64, (2005)

Abstract:

The purpose of this paper is to provide an error analysis for the p-version of the discontinuous Galerkin finite element method for heat transfer in built-up structures. As a special case of the results in this paper, a theoretical error estimate for the numerical experiments recently conducted by James Tomey at NASA Langley is obtained.