Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity : Mixed Finite Element Approximations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Article number | 40 |
Journal / Publication | Journal of Scientific Computing |
Volume | 84 |
Issue number | 2 |
Online published | 10 Aug 2020 |
Publication status | Published - Aug 2020 |
Link(s)
Abstract
For elliptic interface problems in two- and three-dimensions with a possible very low regularity, this paper establishes a priori error estimates for the Raviart–Thomas and Brezzi–Douglas–Marini mixed finite element approximations. These estimates are robust with respect to the diffusion coefficient and optimal with respect to the local regularity of the solution. Several versions of the robust best approximations of the flux and the potential approximations are obtained. These robust and local optimal a priori estimates provide guidance for constructing robust a posteriori error estimates and adaptive methods for the mixed approximations.
Research Area(s)
- Interface problems, Local optimal error estimate, Low regularity, Mixed finite element method, Robust a priori error estimate
Citation Format(s)
Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations. / Zhang, Shun.
In: Journal of Scientific Computing, Vol. 84, No. 2, 40, 08.2020.
In: Journal of Scientific Computing, Vol. 84, No. 2, 40, 08.2020.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review