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Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems.
- Source :
-
Journal of Computational & Applied Mathematics . Dec2022, Vol. 416, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- In Mu and Zhang (2019), an immersed weak Galerkin finite element method (IWG-FEM) is developed for solving elliptic interface problems and it is proved that this method has optimal a-priori error estimate in an energy norm under artificial smoothness assumption on the solution. In this study, we prove that IWG-FEM converges optimally in energy norm under natural smoothness assumption on solution. Furthermore, we show that IWG-FEM converges optimally in the L 2 norm which did not present in Mu and Zhang (2019) because of the artificial H 3 smoothness requirement. A series of numerical experiments are conducted and reported to verify the theoretical finding. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE element method
*GALERKIN methods
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 416
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 158307680
- Full Text :
- https://doi.org/10.1016/j.cam.2022.114567