A Coupling Approach for Linear Elasticity Problems with Spatially Noncoincident Interfaces
Numerical Analysis
2017-10-06 v1
Abstract
We present a new formulation based on the classical Dirichlet-Neumann formulation for interface coupling problems in linearized elasticity. By using Taylor series expansions, we derive a new set of interface conditions that allow our formulation to pass the linear consistency test. In addition, we propose an iterative method to determine the solution of our formulation. We demonstrate in our numerical results that we may achieve the desired piecewise linear finite element error bounds for both nonoverlapping domain decomposition problems as well as for interface coupling problems where the Lam\'e parameters of the structures differ.
Cite
@article{arxiv.1710.01983,
title = {A Coupling Approach for Linear Elasticity Problems with Spatially Noncoincident Interfaces},
author = {Pavel Bochev and James Cheung and Max Gunzburger and Mauro Perego},
journal= {arXiv preprint arXiv:1710.01983},
year = {2017}
}