A Discontinuous Galerkin Method for Parabolic Problems with Modified Hp-Finite Element Approximation Technique PDF Download

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A Discontinuous Galerkin Method for Parabolic Problems with Modified Hp-Finite Element Approximation Technique

A Discontinuous Galerkin Method for Parabolic Problems with Modified Hp-Finite Element Approximation Technique PDF Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781721650859
Category :
Languages : en
Pages : 36

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Book Description
A recent paper is generalized to a case where the spatial region is taken in R(sup 3). The region is assumed to be a thin body, such as a panel on the wing or fuselage of an aerospace vehicle. The traditional h- as well as hp-finite element methods are applied to the surface defined in the x - y variables, while, through the thickness, the technique of the p-element is employed. Time and spatial discretization scheme based upon an assumption of certain weak singularity of double vertical line u(sub t) double vertical line 2, is used to derive an optimal a priori error estimate for the current method. Kaneko, Hideaki and Bey, Kim S. and Hou, Gene J. W. Langley Research Center