A mixed finite element method for a sixth order elliptic problem
Numerical Analysis
2017-11-17 v2
Abstract
We consider a saddle point formulation for a sixth order partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Ciarlet-Raviart formulation for the biharmonic problem to formulate our saddle point problem and the finite element method. The new formulation allows us to use the -conforming Lagrange finite element spaces to approximate the solution. We prove a priori error estimates for our approach. Numerical results are presented for linear and quadratic finite element methods.
Cite
@article{arxiv.1710.02663,
title = {A mixed finite element method for a sixth order elliptic problem},
author = {Jérôme Droniou and Muhammad Ilyas and Bishnu Lamichhane and Glen E. Wheeler},
journal= {arXiv preprint arXiv:1710.02663},
year = {2017}
}
Comments
22 pages