Print Email Facebook Twitter Spectral element method for parabolic interface problems Title Spectral element method for parabolic interface problems Author Khan, Arbaz (University of Manchester) Upadhyay, Chandra Shekhar (Indian Institute of Technology Kanpur) Gerritsma, M.I. (TU Delft Aerodynamics) Date 2018-08-01 Abstract In this paper, an h∕p spectral element method with least-square formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for non-homogeneous interface data. The differentiability estimates and the main stability estimate theorem, using non-conforming spectral element functions, are proven. Error estimates are derived for h and p versions of the proposed method. Specific numerical examples are given to validate the theory. Subject Least-squares methodLinear parabolic interface problemsNonconformingSobolev spaces of different orders in space and timeSpectral element method To reference this document use: http://resolver.tudelft.nl/uuid:9f1b5718-b4a3-4d9f-8e0f-46bd75e5cd48 DOI https://doi.org/10.1016/j.cma.2018.03.011 Embargo date 2020-04-07 ISSN 0045-7825 Source Computer Methods in Applied Mechanics and Engineering, 337, 66-94 Part of collection Institutional Repository Document type journal article Rights © 2018 Arbaz Khan, Chandra Shekhar Upadhyay, M.I. Gerritsma Files PDF CMAME_D_17_01459.pdf 607.33 KB Close viewer /islandora/object/uuid:9f1b5718-b4a3-4d9f-8e0f-46bd75e5cd48/datastream/OBJ/view