September  2007, 6(3): 719-740. doi: 10.3934/cpaa.2007.6.719

Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures

1. 

Thermal Structures Branch, Structure Division, NASA Langley Research Center, Hampton, VA 23681, United States

2. 

Northrup Grumman Space Technology, 293 Highway 247 South, WRG4, Warner Robins, GA 31088, United States

3. 

Department of Mathematics and Statistics, Old Dominion University, Norfolk, Virginia 23529-0077, Uruguay

4. 

Department of Mathematics, Mahidol University, Bangkok, Thailand

Received  April 2006 Revised  January 2007 Published  June 2007

In this paper, we provide an error analysis for the $p$-version of the discontinuous Galerkin finite element method for a class of heat transfer problems in built-up structures. Also, a general form of the matrix associated with the discretization of time variable using the $p$-finite element basis functions is established. Many interesting properties of this matrix are obtained. Numerical examples are provided in the last section.
Citation: Kim S. Bey, Peter Z. Daffer, Hideaki Kaneko, Puntip Toghaw. Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures. Communications on Pure & Applied Analysis, 2007, 6 (3) : 719-740. doi: 10.3934/cpaa.2007.6.719
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