Stabilized Galerkin for linear advection of vector fields

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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 H (curl,Ω)and H(Div;Ω)-conforming approximation spaces.

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Heumann, H., & Hiptmair, R. (2015). Stabilized Galerkin for linear advection of vector fields. Lecture Notes in Computational Science and Engineering, 103, 37–45. https://doi.org/10.1007/978-3-319-10705-9_3

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