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On the superconvergence of a WG method for the elliptic problem with variable coefficients
- Source :
- SCIENCE CHINA Mathematics; 20230101, Issue: Preprints p1-12, 12p
- Publication Year :
- 2023
-
Abstract
- This article extends a recently developed superconvergence result for weak Galerkin (WG) approximations for modeling partial differential equations from constant coefficients to variable coefficients. This superconvergence features a rate that is two-order higher than the optimal-order error estimates in the usual energy and L2norms. The extension from constant to variable coefficients for the modeling equations is highly non-trivial. The underlying technical analysis is based on the use of a sequence of projections and decompositions. Numerical results are presented to confirm the superconvergence theory for second-order elliptic problems with variable coefficients.
Details
- Language :
- English
- ISSN :
- 16747283
- Issue :
- Preprints
- Database :
- Supplemental Index
- Journal :
- SCIENCE CHINA Mathematics
- Publication Type :
- Periodical
- Accession number :
- ejs63939075
- Full Text :
- https://doi.org/10.1007/s11425-022-2097-8