.png){kind=icon}
.png){kind=icon}
Return
Weak Galerkin finite element method for linear elasticity interface problems
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2022.127589.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this paper, we apply a weak Galerkin finite element method to a linear elasticity in-terface 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 inter-face 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 L 2 norm. Finally, we present some numerical experiments to demonstrate the efficiency and the locking-free property of our method.(c) 2022 Elsevier Inc. All rights reserved.
Keywords:
Linear elasticity interface problem
Weak Galerkin finite element method
Locking free
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W