Abstract
We present a stabilized Galerkin method for linear advection of vector fields and prove, for sufficiently smooth solutions, optimal a priori error estimates for \(\boldsymbol{H}\left (\mathop{\mathbf{curl}}\nolimits,\varOmega \right )\) and \(\boldsymbol{H}(\mathop{Div}\nolimits,\varOmega )\)-conforming approximation spaces.
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© 2015 Springer International Publishing Switzerland
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Heumann, H., Hiptmair, R. (2015). Stabilized Galerkin for Linear Advection of Vector Fields. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_3
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DOI: https://doi.org/10.1007/978-3-319-10705-9_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10704-2
Online ISBN: 978-3-319-10705-9
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