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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.

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

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