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Spectral element method for parabolic interface problems

2018; Elsevier BV; Volume: 337; Linguagem: Inglês

10.1016/j.cma.2018.03.011

1879-2138

Arbaz Khan, C.S. Upadhyay, Marc Gerritsma,

Numerical methods in engineering

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.