Spectral mimetic least-squares method for curl-curl systems

Conference Paper (2018)
Author(s)

Artur Palha da Silva Clerigo (Eindhoven University of Technology, TU Delft - Aerodynamics)

Marc I. Gerritsma (TU Delft - Aerodynamics)

Research Group
Aerodynamics
DOI related publication
https://doi.org/10.1007/978-3-319-73441-5_12
More Info
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Publication Year
2018
Language
English
Research Group
Aerodynamics
Pages (from-to)
119-127
ISBN (print)
9783319734408

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.

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