Weak Galerkin finite element method for linear elasticity interface problems

Hui Peng, Ruishu Wang, Xiuli Wang and Yongkui Zou

Applied Mathematics and Computation, 2023, vol. 439, issue C

Abstract: In this paper, we apply a weak Galerkin finite element method to a linear elasticity interface model. Since the solution may become discontinuous while crossing the interface, we first discretize the model by double-valued weak functions on the interface. Then, in order to facilitate theoretical analysis and algorithm implementation, we substitute interface conditions into the weak Galerkin formulation and construct a weak Galerkin method with single-valued functions on the interface. Furthermore, we prove the well-posedness of the weak Galerkin scheme and derive a priori error estimates in energy norm and L2 norm. Finally, we present some numerical experiments to demonstrate the efficiency and the locking-free property of our method.

Keywords: Linear elasticity interface problem; Weak Galerkin finite element method; Locking free (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322006622

DOI: 10.1016/j.amc.2022.127589

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