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

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

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 func...

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Main Authors: Hideaki Kaneko, Kim S. Bey, Peter Z. Daffer, Puntip Toghaw
Other Authors: Old Dominion University
Format: Conference or Workshop Item
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/24617
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spelling th-mahidol.246172018-08-24T08:56:37Z Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures Hideaki Kaneko Kim S. Bey Peter Z. Daffer Puntip Toghaw Old Dominion University NASA Langley Research Center Northrup Grumman Space Technology Mahidol University Mathematics 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. 2018-08-24T01:56:37Z 2018-08-24T01:56:37Z 2007-09-01 Conference Paper Communications on Pure and Applied Analysis. Vol.6, No.3 (2007), 719-740 15535258 15340392 2-s2.0-34547962285 https://repository.li.mahidol.ac.th/handle/123456789/24617 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=34547962285&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Hideaki Kaneko
Kim S. Bey
Peter Z. Daffer
Puntip Toghaw
Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures
description 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.
author2 Old Dominion University
author_facet Old Dominion University
Hideaki Kaneko
Kim S. Bey
Peter Z. Daffer
Puntip Toghaw
format Conference or Workshop Item
author Hideaki Kaneko
Kim S. Bey
Peter Z. Daffer
Puntip Toghaw
author_sort Hideaki Kaneko
title Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures
title_short Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures
title_full Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures
title_fullStr Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures
title_full_unstemmed Error analysis of the p-version discontinuous Galerkin method for heat transfer in built-up structures
title_sort error analysis of the p-version discontinuous galerkin method for heat transfer in built-up structures
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/24617
_version_ 1763487313354031104

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