.png){kind=icon}
Return
Efficient algorithms for problems with friction
.png){kind=icon}
PRE
AI
DOI：10.1137/050634141.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this paper, a nonconforming discretization method for the frictional contact between two bodies subjected to antiplane shear deformation is considered. The method is based on a mixed variational formulation where dual basis functions are used for the discretization of the Lagrange multiplier. Under some regularity assumptions on the solution, an optimal a priori error estimate is obtained. To solve the discrete nonlinear problem an inexact primal-dual active set strategy is introduced. Finally, numerical examples confirming the theoretical result for the a priori error estimate and illustrating the performance of the algorithm are presented. The results can easily be generalized to the case of Coulomb friction. For this case a numerical example is given.
Keywords:
antiplane shear deformation
frictional contact
mixed formulation
dual Lagrange multipliers
nonconforming meshes
optimal a priori error estimates
inexact primal-dual active set strategy
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
2.6
Papers:
5.1K
Citations:
1.8W
Organization
No organization information available
Cited Papers
.png){kind=icon}
ShareSaveShareSave
View more