Spectral mimetic least-squares method for div-curl systems

Conference paper (2018)

Authors

M.I. Gerritsma Aerodynamics - Aerospace Engineering
A. Palha Eindhoven University of Technology, Aerodynamics - Aerospace Engineering
Research Group
Aerodynamics (Aerospace Engineering) (TU Delft)
Copyright: © 2018 M.I. Gerritsma, A. Palha
DOI: https://doi.org/10.1007/978-3-319-73441-5_10
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Published Date

2018

Language

English

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Faculty

Aerospace Engineering

Department

Flow Physics and Technology

Research Group

Aerodynamics

Abstract

In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For N> 1 optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For N= 1 the method does not converge.

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