Spectral mimetic least-squares method for curl-curl systems

Conference Paper (2018)
Author(s)

Artur Palha (TU Delft - Aerospace Engineering, Eindhoven University of Technology)

Marc Gerritsma (TU Delft - Aerospace Engineering)

Research Group
Aerodynamics
DOI related publication
https://doi.org/10.1007/978-3-319-73441-5_12 Final published version
More Info
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Publication Year
2018
Language
English
Research Group
Aerodynamics
Pages (from-to)
119-127
Publisher
Springer
ISBN (print)
9783319734408
Event
11th International Conference on Large-Scale Scientific Computations, LSSC 2017 (2017-09-11 - 2017-09-15), Sozopol, Bulgaria
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158

Abstract

One of the most cited disadvantages of least-squares formulations is its lack of conservation. By a suitable choice of least-squares functional and the use of appropriate conforming finite dimensional function spaces, this drawback can be completely removed. Such a mimetic least-squares method is applied to a curl-curl system. Conservation properties will be proved and demonstrated by test results on two-dimensional curvilinear grids.