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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… Click to show full abstract
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.
Keywords:
element method;
interface;
spectral element;
parabolic interface
Journal Title: Computer Methods in Applied Mechanics and Engineering
Year Published: 2018
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Journal Title: Computer Methods in Applied Mechanics and Engineering
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!