Mixed Isogeometric Methods for Linear Elasticity with Weakly Imposed Symmetry
Numerical Analysis
2022-10-20 v1 Numerical Analysis
Abstract
We consider and discretize a mixed formulation for linear elasticity with weakly imposed symmetry in two and three dimensions. Whereas existing methods mainly deal with simplicial or polygonal meshes, we take advantage of isogeometric analysis (IGA) and consequently allow for shapes with curved boundaries. To introduce the discrete spaces we use isogeometric discrete differential forms defined by proper B-spline spaces. For the proposed schemes a proof of well-posedness and an error estimate are given. Further we discuss our ansatz by means of different numerical examples.
Keywords
Cite
@article{arxiv.2210.10192,
title = {Mixed Isogeometric Methods for Linear Elasticity with Weakly Imposed Symmetry},
author = {Jeremias Arf},
journal= {arXiv preprint arXiv:2210.10192},
year = {2022}
}