Numerical solutions for Biharmonic interface problems via weak Galerkin finite element methods

Raman Kumar

Applied Mathematics and Computation, 2024, vol. 467, issue C

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 H2 and standard L2 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.

Keywords: Weak Galerkin methods; Biharmonic interface problems; Polygonal/polyhedral meshes (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:467:y:2024:i:c:s0096300323006653

DOI: 10.1016/j.amc.2023.128496

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