Communications on Pure and Applied Analysis. Vol.6, No.3 (2007), 719-740
Suggested Citation
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. Communications on Pure and Applied Analysis. Vol.6, No.3 (2007), 719-740. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/24617
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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 functions is established. Many interesting properties of this matrix are obtained. Numerical examples are provided in the last section.
