Spectral element method for parabolic interface problems

Khan, Arbaz; Upadhyay, Chandra Shekhar; Gerritsma, M.I.

doi:10.1016/j.cma.2018.03.011

Spectral element method for parabolic interface problems

Journal article (2018)

Authors

Arbaz Khan The University of Manchester

Chandra Shekhar Upadhyay Indian Institute of Technology Kanpur

M.I. Gerritsma Aerodynamics - Aerospace Engineering

Research Group

Aerodynamics (Aerospace Engineering) (TU Delft)

DOI: https://doi.org/10.1016/j.cma.2018.03.011

Spectral element method Least-squares method Linear parabolic interface problems Nonconforming Sobolev spaces of different orders in space and time

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Published Date

01-08-2018

Language

English

Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

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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