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2007, Volume 6, Issue 3: 719-740. Doi: 10.3934/cpaa.2007.6.719
This issue Previous Article Analysis of optimal bivariate symmetric refinable Hermite interpolants Next Article Reducing subspace frame multiresolution analysis and  frame wavelets

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

  • 2.

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

  • 3.

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

  • 4.

    Department of Mathematics, Mahidol University, Bangkok

Received:  April 2006
Revised:  January 2007
Published:  August 2007
Abstract Related Papers Cited by
    Abstract

  • 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.

    Mathematics Subject Classification: Primary: 65M60, 65N30; Secondary: 35K05.

    Citation:
    shu

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