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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Bibliographic Details
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:
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/24617
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Institution: Mahidol University
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Summary: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.