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.
Original language | English |
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Pages (from-to) | 66-94 |
Number of pages | 29 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 337 |
DOIs | |
Publication status | Published - 1 Aug 2018 |
Keywords
- Least-squares method
- Linear parabolic interface problems
- Nonconforming
- Sobolev spaces of different orders in space and time
- Spectral element method