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Numerical solutions for Biharmonic interface problems via weak Galerkin finite element methods.
- Source :
-
Applied Mathematics & Computation . Apr2024, Vol. 467, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper focuses on the advancement of weak Galerkin (WG) finite element methods for addressing two-dimensional and three-dimensional Biharmonic interface problems with polygonal/polyhedral meshes. The WG method has been demonstrated to be accurate and efficient, providing optimal order error estimates in discrete H 2 and standard L 2 norms. A series of extensive numerical tests are conducted to validate the WG solutions, showcasing the flexibility, stability, and robustness of the proposed method for handling both smooth and complicated interfaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE element method
*BIHARMONIC equations
*GALERKIN methods
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 467
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 174666359
- Full Text :
- https://doi.org/10.1016/j.amc.2023.128496