Spectral element method for parabolic interface problems
Arbaz Khan (The University of Manchester)
Chandra Shekhar Upadhyay (Indian Institute of Technology Kanpur)
M.I. Gerritsma (TU Delft - Aerodynamics)
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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.
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